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JP6946235B2 - A method for determining the properties of a thermally conductive material during pressurization - Google Patents
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JP6946235B2 - A method for determining the properties of a thermally conductive material during pressurization - Google Patents

A method for determining the properties of a thermally conductive material during pressurization Download PDF

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JP6946235B2
JP6946235B2 JP2018089620A JP2018089620A JP6946235B2 JP 6946235 B2 JP6946235 B2 JP 6946235B2 JP 2018089620 A JP2018089620 A JP 2018089620A JP 2018089620 A JP2018089620 A JP 2018089620A JP 6946235 B2 JP6946235 B2 JP 6946235B2
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俊晴 森村
俊晴 森村
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Description

本発明は、加圧時の熱伝導性材料の特性を求める方法に関する。 The present invention relates to a method for determining the properties of a thermally conductive material under pressure.

発熱部材から放熱部材への熱の伝達を高めるために使用される材料として熱伝導性材料がある。例えば、従来、CPU、GPU、パワーモジュール等の大きな発熱を伴う電子部品をヒートシンクに取り付ける際に、部品間に生じる隙間をなくし、電子部品で発生する熱を効率良くヒートシンクに伝達するために使用される熱伝導性材料として、特許文献1に示されるようなシリコーン樹脂に熱伝導性粉末を混合してシート化したものが広く用いられている。 There is a heat conductive material as a material used for enhancing heat transfer from a heat generating member to a heat radiating member. For example, conventionally, when an electronic component such as a CPU, GPU, or power module that generates a large amount of heat is attached to a heat sink, it is used to eliminate a gap generated between the components and efficiently transfer the heat generated by the electronic component to the heat sink. As the heat conductive material, a material obtained by mixing a heat conductive powder with a silicone resin as shown in Patent Document 1 and forming a sheet is widely used.

熱伝導性材料は、サーマルインターフェースマテリアル(Thermal Interface Material、TIM)とも呼ばれる材料である。熱伝導性材料としては、硬度が低い「放熱パッド」と呼ばれる材料や、硬度が高い「放熱シート」と呼ばれる材料がある。ただし、この「パッド」、「シート」という用語は、硬度の高低によらず混在して用いられることがある。例えば、硬度の低い放熱パッドは「ソフトパッド(Soft Pad)」、硬度の高い放熱シートは「ハードパッド(Hard Pad)」と呼ばれたり、硬度の高低に拘わらず、両者とも「シート」と呼ばれることもある。 The thermally conductive material is also called a thermal interface material (TIM). Examples of the heat conductive material include a material called a "heat dissipation pad" having a low hardness and a material called a "heat dissipation sheet" having a high hardness. However, the terms "pad" and "sheet" may be used in a mixed manner regardless of the hardness. For example, a heat-dissipating pad with low hardness is called a "soft pad", and a heat-dissipating sheet with high hardness is called a "hard pad". Sometimes.

熱伝導性材料の放熱性能を示す指標の一つとして熱抵抗があり、熱抵抗値は熱伝導性材料の厚みや熱伝導率、熱伝導性材料が接触する面との接触熱抵抗によって決まってくる。 Thermal resistance is one of the indicators of heat dissipation performance of thermally conductive materials, and the thermal resistance value is determined by the thickness and thermal conductivity of the thermally conductive material and the contact thermal resistance with the surface that the thermally conductive material contacts. come.

図6は発熱部材52と放熱部材(冷却部材)53間に熱伝導性材料51を挟んで使用した時の断面図である。熱は発熱部材52から放熱部材(冷却部材)53に矢印54の方向で移動する。熱伝導性材料51は、発熱部材52で発生した熱を効率良く放熱部材(冷却部材)53に伝える機能を有する。熱伝導性材料の熱伝導率をλTIM、厚みをL、接触熱抵抗をR、断面積をAとすると、接触熱抵抗を含まない熱伝導性材料の熱抵抗Rは数式(1)で表され、接触熱抵抗を含む熱伝導性材料の熱抵抗Rは数式(2)のように表される。 FIG. 6 is a cross-sectional view when the heat conductive material 51 is sandwiched between the heat generating member 52 and the heat radiating member (cooling member) 53. Heat is transferred from the heat generating member 52 to the heat radiating member (cooling member) 53 in the direction of the arrow 54. The heat conductive material 51 has a function of efficiently transferring the heat generated by the heat generating member 52 to the heat radiating member (cooling member) 53. Assuming that the thermal conductivity of the thermally conductive material is λ TIM , the thickness is L, the thermal resistance of contact is RC , and the cross-sectional area is A, the thermal resistance R 0 of the thermally conductive material that does not include the thermal resistance of contact is mathematical formula (1). The thermal resistance R of the heat conductive material including the contact thermal resistance is expressed by the mathematical formula (2).

Figure 0006946235
Figure 0006946235
Figure 0006946235
Figure 0006946235

接触熱抵抗を加味した熱伝導性材料の等価熱伝導率は上記数式(1)と数式(2)を連立して、これを解くことにより求めることができ、数式(3)より、数式(4)のように表せる。

Figure 0006946235
Figure 0006946235
The equivalent thermal conductivity of the heat conductive material with the contact thermal resistance added can be obtained by combining the above formulas (1) and (2) and solving them. From the formula (3), the formula (4) ) Can be expressed as.
Figure 0006946235
Figure 0006946235

一般的に熱抵抗を測定する方法には温度一定の条件で熱抵抗を測定する定常法と、温度が上昇または下降中に熱抵抗を測定する非定常法の二通りの方法がある。 Generally, there are two methods for measuring thermal resistance: a stationary method for measuring thermal resistance under constant temperature conditions and an unsteady method for measuring thermal resistance while the temperature is rising or falling.

特許文献2に開示される技術では、電子部品と配線パターンを有する基板を接続するはんだバンプモデルに対して、等価熱伝導率の計算方法が示されているが、はんだと空気の並列モデルにおける等価熱伝導率の算出方法であり、熱伝導性材料と空気のように熱抵抗が直列に並ぶモデルに対してはこの等価熱伝導率算出方法は適用できない。 In the technique disclosed in Patent Document 2, a method for calculating the equivalent thermal conductivity is shown for a solder bump model for connecting an electronic component and a substrate having a wiring pattern, but the equivalent in a parallel model of solder and air. This is a method for calculating thermal conductivity, and this equivalent thermal conductivity calculation method cannot be applied to a model in which thermal resistance is arranged in series, such as a heat conductive material and air.

特開2005−54099号公報Japanese Unexamined Patent Publication No. 2005-54099 特開2008−275579号公報Japanese Unexamined Patent Publication No. 2008-275579

前述の熱伝導性材料には様々な硬度、厚さ、熱伝導率のものがあり、多くの熱伝導性材料の中から所望の要求特性に合った材料を選定するのは困難であった。 The above-mentioned thermally conductive materials have various hardness, thickness, and thermal conductivity, and it is difficult to select a material that meets the desired required characteristics from among many thermally conductive materials.

熱伝導性材料の熱抵抗は加圧力によって変化するため、実際に使用する圧力での熱抵抗値が重要である。しかしながら、様々な圧力条件での熱伝導性材料の熱抵抗値を簡単に入手することは困難であった。 Since the thermal resistance of a thermally conductive material changes depending on the pressing force, the thermal resistance value at the pressure actually used is important. However, it has been difficult to easily obtain the thermal resistance value of the heat conductive material under various pressure conditions.

同様に熱伝導性材料の等価熱伝導率も加圧力によって接触熱抵抗や厚みが変化するため、実際に使用する圧力での等価熱伝導率が重要である。しかしながら、様々な圧力条件での熱伝導性材料の等価熱伝導率を簡単に入手することは困難であった。 Similarly, the equivalent thermal conductivity of a thermally conductive material also changes in contact thermal resistance and thickness depending on the pressing force, so the equivalent thermal conductivity at the pressure actually used is important. However, it has been difficult to easily obtain the equivalent thermal conductivity of the thermally conductive material under various pressure conditions.

本発明の目的は、熱伝導性材料の圧力と熱抵抗の関係・圧力と厚みの関係・圧力と等価熱伝導率の関係を簡単に取得できる方法を提供することである。 An object of the present invention is to provide a method capable of easily obtaining the relationship between pressure and thermal resistance of a heat conductive material, the relationship between pressure and thickness, and the relationship between pressure and equivalent thermal conductivity.

本発明は上記課題を解決するためになされたものであり、本発明は、発熱部材から放熱部材への熱の伝達を高めるために使用される熱伝導性材料を加圧する際の前記熱伝導性材料の特性を求める方法であって、前記熱伝導性材料の製品名毎の、前記加圧する際の圧力と前記熱伝導性材料の熱抵抗の関係、前記加圧する際の圧力と前記熱伝導性材料の厚みの関係、及び前記加圧する際の圧力と前記熱伝導性材料の等価熱伝導率の関係が保存されている特性データベースを、コンピュータに組み込む工程と、前記コンピュータにおいて前記熱伝導性材料の製品名を選択する工程と、前記コンピュータが、前記選択された熱伝導性材料の製品名毎に、前記加圧する際の圧力と前記熱伝導性材料の熱抵抗の関係、前記加圧する際の圧力と前記熱伝導性材料の厚みの関係、及び前記加圧する際の圧力と前記熱伝導性材料の等価熱伝導率の関係を画面表示手段の画面に表示する工程とにより、加圧時の熱伝導性材料の特性を求める方法を提供する。 The present invention has been made to solve the above problems, and the present invention has the thermal conductivity when pressurizing a heat conductive material used for enhancing heat transfer from a heat generating member to a heat radiating member. It is a method of determining the characteristics of a material, and is a method for determining the relationship between the pressure at the time of pressurization and the thermal resistance of the thermally conductive material, the pressure at the time of pressurization and the thermal conductivity for each product name of the thermally conductive material. The process of incorporating into a computer a characteristic database in which the relationship between the thickness of the material and the relationship between the pressure at the time of pressurization and the equivalent thermal conductivity of the heat conductive material are stored, and the process of incorporating the heat conductive material in the computer. The process of selecting a product name, the relationship between the pressure at the time of pressurization and the thermal resistance of the heat conductive material, and the pressure at the time of pressurization by the computer for each product name of the selected heat conductive material. By the step of displaying the relationship between the thickness of the heat conductive material and the thickness of the heat conductive material, and the relationship between the pressure at the time of pressurization and the equivalent heat conductivity of the heat conductive material on the screen of the screen display means, the heat conduction at the time of pressurization Provided is a method for determining the properties of a sex material.

このような加圧時の熱伝導性材料の特性を求める方法であれば、熱伝導性材料の圧力と熱抵抗の関係・圧力と厚みの関係・圧力と等価熱伝導率の関係を簡単に取得できる。 If it is a method to obtain the characteristics of the heat conductive material at the time of pressurization, the relationship between the pressure and the thermal resistance of the heat conductive material, the relationship between the pressure and the thickness, and the relationship between the pressure and the equivalent thermal conductivity can be easily obtained. can.

この場合、前記熱伝導性材料の製品名毎の、前記加圧する際の圧力と前記熱伝導性材料の熱抵抗の関係及び前記加圧する際の圧力と前記熱伝導性材料の厚みの関係は、温度一定の条件で熱抵抗を測定する定常法で前記熱伝導性材料の製品名毎に測定した熱抵抗及び厚みに基づいて求められたものであり、前記熱伝導性材料の製品名毎の、前記加圧する際の圧力と前記熱伝導性材料の等価熱伝導率の関係は、前記定常法で前記熱伝導性材料の製品名毎に測定した熱抵抗及び厚みに基づいて求められた前記加圧する際の圧力と前記熱伝導性材料の熱抵抗の関係及び前記加圧する際の圧力と前記熱伝導性材料の厚みの関係に基づいて求められたものであることが好ましい。 In this case, for each product name of the heat conductive material, the relationship between the pressure at the time of pressurization and the heat resistance of the heat conductive material and the relationship between the pressure at the time of pressurization and the thickness of the heat conductive material are as follows. It was obtained based on the thermal resistance and thickness measured for each product name of the thermally conductive material by a steady method of measuring the thermal resistance under constant temperature conditions, and for each product name of the thermally conductive material, The relationship between the pressure at the time of pressurization and the equivalent thermal conductivity of the thermally conductive material is determined based on the thermal resistance and thickness measured for each product name of the thermally conductive material by the stationary method. It is preferably obtained based on the relationship between the pressure at the time and the thermal resistance of the heat conductive material and the relationship between the pressure at the time of pressurization and the thickness of the heat conductive material.

このように、本発明で用いる熱伝導性材料の圧力と熱抵抗の関係・圧力と厚みの関係・圧力と等価熱伝導率の関係は、温度一定の条件で熱抵抗を測定する定常法によって熱伝導性材料の製品名毎に実際に測定した熱抵抗に基づいて求められた関係を好適に採用することができる。これにより、より実際の使用条件に即して、圧力と熱伝導性材料の各特性の関係を取得することができる。 As described above, the relationship between the pressure and the thermal resistance of the thermally conductive material used in the present invention, the relationship between the pressure and the thickness, and the relationship between the pressure and the equivalent thermal conductivity are determined by the constant method of measuring the thermal resistance under constant temperature conditions. The relationship obtained based on the actually measured thermal resistance for each product name of the conductive material can be preferably adopted. Thereby, the relationship between the pressure and each property of the heat conductive material can be obtained more in line with the actual usage conditions.

また、前記熱伝導性材料の製品名を選択する前に、前記特性データベースに保存された前記熱伝導性材料の製品名の中から、前記選択する熱伝導性材料の製品名の候補を絞り込む工程を有し、前記製品名の候補を絞り込む工程を、前記製品名と、前記製品名を有する熱伝導性材料の硬度に応じて分類された硬度分類、製品厚み、カタログ熱伝導率、及び絶縁破壊電圧の各条件が関連づけられた製品データベースを前記コンピュータに組み込む段階と、前記コンピュータに、前記硬度分類、製品厚み、カタログ熱伝導率、及び絶縁破壊電圧のうち少なくとも1つの条件を入力する段階と、前記コンピュータが、前記製品データベースに基づいて、前記入力した条件に適合する製品名を列挙する段階と、により、前記入力した条件に適合する製品名の候補を絞り込むことにより行うことが好ましい。 Further, before selecting the product name of the heat conductive material, a step of narrowing down the product name candidates of the heat conductive material to be selected from the product names of the heat conductive material stored in the property database. The process of narrowing down the candidates for the product name is the hardness classification, product thickness, catalog thermal conductivity, and insulation failure classified according to the product name and the hardness of the heat conductive material having the product name. A step of incorporating a product database in which each condition of voltage is associated into the computer, and a step of inputting at least one condition of the hardness classification, product thickness, catalog thermal conductivity, and insulation breakdown voltage into the computer. It is preferable that the computer enumerates the product names that meet the input conditions based on the product database, and narrows down the candidates for the product names that meet the input conditions.

このように、硬度分類、製品厚み、カタログ熱伝導率、及び絶縁破壊電圧の各条件が関連づけられた製品データベースをコンピュータに組み込んでおけば、全製品リストから条件にあった製品だけを絞り込むことができ、簡単に所望の製品名を選定することができる。 In this way, by incorporating a product database in which the conditions of hardness classification, product thickness, catalog thermal conductivity, and breakdown voltage are associated with each other in the computer, it is possible to narrow down only the products that meet the conditions from the entire product list. It is possible to easily select a desired product name.

本発明によれば、熱伝導性材料の圧力と熱抵抗の関係・圧力と厚みの関係・圧力と等価熱伝導率の関係の情報を簡単に取得することができる。 According to the present invention, it is possible to easily obtain information on the relationship between the pressure and the thermal resistance of the heat conductive material, the relationship between the pressure and the thickness, and the relationship between the pressure and the equivalent thermal conductivity.

本発明の加圧時の熱伝導性材料の特性を求める方法の一例の概略を示すフロー図である。It is a flow chart which shows the outline of an example of the method of determining the property of the heat conductive material at the time of pressurization of this invention. 本発明において、熱伝導性材料の製品名を絞り込む方法を説明する図である。It is a figure explaining the method of narrowing down the product name of a heat conductive material in this invention. 本発明で用いられる製品リストから圧力と熱抵抗の関係、圧力と厚みの関係、圧力と等価熱伝導率の関係を画面表示手段の画面に表示(描画)する方法を説明する図である。It is a figure explaining the method of displaying (drawing) the relationship between pressure and thermal resistance, the relationship between pressure and thickness, and the relationship between pressure and equivalent thermal conductivity on the screen of a screen display means from the product list used in the present invention. 本発明を用いて熱伝導性材料の製品名の絞り込みを行う入力画面である。This is an input screen for narrowing down the product names of thermally conductive materials using the present invention. 本発明を用いて熱伝導性材料の製品名からその製品名の加圧時の熱抵抗・厚み・等価熱伝導率を求める計算シートの操作画面である。It is an operation screen of the calculation sheet for obtaining the thermal resistance, thickness, and equivalent thermal conductivity at the time of pressurization of the product name from the product name of the heat conductive material using the present invention. 発熱部材と放熱部材の間で使用される熱伝導性材料の熱抵抗と接触熱抵抗の関係を説明する図である。It is a figure explaining the relationship between the thermal resistance and the contact thermal resistance of the heat conductive material used between a heat generating member and a heat radiating member.

以下、本発明について実施の形態を説明するが、本発明はこれに限定されるものではない。 Hereinafter, embodiments of the present invention will be described, but the present invention is not limited thereto.

図1に、本発明の加圧時の熱伝導性材料の特性を求める方法の一例の概略を示した。本発明は、発熱部材から放熱部材への熱の伝達を高めるために使用される熱伝導性材料を加圧する際の熱伝導性材料の特性を求める方法である。ここで、熱伝導性材料の特性とは、具体的には、熱伝導性材料の熱抵抗、厚み及び等価熱伝導率である。本発明では、まず、熱伝導性材料の製品名毎の、加圧する際の圧力と熱伝導性材料の熱抵抗の関係、加圧する際の圧力と熱伝導性材料の厚みの関係、及び加圧する際の圧力と熱伝導性材料の等価熱伝導率の関係が保存されている特性データベースを、コンピュータに組み込む(図1の工程a)。次に、コンピュータにおいて熱伝導性材料の製品名を選択する(図1の工程b)。次に、コンピュータが、選択された熱伝導性材料の製品名毎に、加圧する際の圧力と熱伝導性材料の熱抵抗の関係、加圧する際の圧力と熱伝導性材料の厚みの関係、及び加圧する際の圧力と熱伝導性材料の等価熱伝導率の関係を画面表示手段の画面に表示する(図1の工程c)。このようにして、本発明の方法では、加圧時の熱伝導性材料の特性を求めることができる。 FIG. 1 shows an outline of an example of a method for determining the properties of a heat conductive material under pressure according to the present invention. The present invention is a method for obtaining the characteristics of a heat conductive material when pressurizing a heat conductive material used for enhancing heat transfer from a heat generating member to a heat radiating member. Here, the characteristics of the thermally conductive material are, specifically, the thermal resistance, the thickness, and the equivalent thermal conductivity of the thermally conductive material. In the present invention, first, for each product name of the heat conductive material, the relationship between the pressure at the time of pressurization and the heat resistance of the heat conductive material, the relationship between the pressure at the time of pressurization and the thickness of the heat conductive material, and the pressurization. A characteristic database in which the relationship between the pressure at the time and the equivalent thermal conductivity of the thermally conductive material is stored is incorporated into the computer (step a in FIG. 1). Next, the product name of the heat conductive material is selected in the computer (step b in FIG. 1). Next, for each product name of the heat conductive material selected by the computer, the relationship between the pressure when pressurizing and the thermal resistance of the heat conductive material, the relationship between the pressure when pressurizing and the thickness of the heat conductive material, The relationship between the pressure at the time of pressurization and the equivalent thermal conductivity of the thermally conductive material is displayed on the screen of the screen display means (step c in FIG. 1). In this way, in the method of the present invention, the characteristics of the heat conductive material at the time of pressurization can be determined.

このような加圧時の熱伝導性材料の特性を求める方法であれば、特定の熱伝導性材料の圧力と熱抵抗の関係・圧力と厚みの関係・圧力と等価熱伝導率の関係を簡単に取得できる。 If it is a method of obtaining the characteristics of a heat conductive material at the time of pressurization, the relationship between the pressure and the thermal resistance of a specific heat conductive material, the relationship between the pressure and the thickness, and the relationship between the pressure and the equivalent thermal conductivity can be easily obtained. Can be obtained.

以下では、本発明を、順を追って説明する。 Hereinafter, the present invention will be described step by step.

上記のように、本発明では、まず、熱伝導性材料の製品名毎の、加圧する際の圧力と熱伝導性材料の熱抵抗の関係、加圧する際の圧力と熱伝導性材料の厚みの関係、及び加圧する際の圧力と熱伝導性材料の等価熱伝導率の関係が保存されている特性データベースを、コンピュータに組み込む(工程a)。 As described above, in the present invention, first, for each product name of the heat conductive material, the relationship between the pressure at the time of pressurization and the heat resistance of the heat conductive material, the pressure at the time of pressurization and the thickness of the heat conductive material A characteristic database in which the relationship and the relationship between the pressure at the time of pressurization and the equivalent thermal conductivity of the heat conductive material are stored is incorporated into the computer (step a).

ここでの熱伝導性材料の製品名毎の、加圧する際の圧力と熱伝導性材料の熱抵抗の関係及び加圧する際の圧力と熱伝導性材料の厚みの関係は、温度一定の条件で熱抵抗を測定する定常法で熱伝導性材料の製品名毎に測定した熱抵抗及び厚みに基づいて求められたものであることが好ましい。このように、本発明では、定常法によって熱伝導性材料の製品名毎に、実際に測定した熱抵抗及び厚みに基づいて求められた関係を好適に採用することができる。これにより、より実際の使用条件に即して加圧する際の圧力と熱伝導性材料の熱抵抗の関係及び加圧する際の圧力と熱伝導性材料の厚みの関係を求めることができる。 The relationship between the pressure at the time of pressurization and the thermal resistance of the heat conductive material and the relationship between the pressure at the time of pressurization and the thickness of the heat conductive material for each product name of the heat conductive material here are under constant temperature conditions. It is preferable that it is obtained based on the thermal resistance and the thickness measured for each product name of the thermally conductive material by the steady method for measuring the thermal resistance. As described above, in the present invention, the relationship obtained based on the actually measured thermal resistance and thickness can be suitably adopted for each product name of the heat conductive material by the steady-state method. Thereby, the relationship between the pressure when pressurizing and the thermal resistance of the heat conductive material and the relationship between the pressure when pressurizing and the thickness of the heat conductive material can be obtained more according to the actual usage conditions.

また、熱伝導性材料の製品名毎の、加圧する際の圧力と熱伝導性材料の等価熱伝導率の関係は、定常法で熱伝導性材料の製品名毎に測定した熱抵抗及び厚みに基づいて求められた加圧する際の圧力と熱伝導性材料の熱抵抗の関係及び加圧する際の圧力と熱伝導性材料の厚みの関係に基づいて求められたものであることが好ましい。これにより、より実際の使用条件に即して加圧する際の圧力と熱伝導性材料の等価熱伝導率の関係を求めることができる。 In addition, the relationship between the pressure at the time of pressurization and the equivalent thermal conductivity of the thermally conductive material for each product name of the thermally conductive material is the thermal resistance and thickness measured for each product name of the thermally conductive material by the stationary method. It is preferable that the pressure is determined based on the relationship between the pressure at the time of pressurization and the thermal resistance of the heat conductive material and the relationship between the pressure at the time of pressurization and the thickness of the heat conductive material. This makes it possible to obtain the relationship between the pressure when pressurizing according to the actual usage conditions and the equivalent thermal conductivity of the thermally conductive material.

上記のように、熱伝導性材料の熱抵抗は定常法によって測定することができる。例えば、以下のような方法によって行うことができるが、これに限定されない。 As described above, the thermal resistance of a thermally conductive material can be measured by a steady-state method. For example, it can be performed by the following method, but is not limited to this.

(定常法による熱抵抗の測定方法)
まず、直径33mmの熱伝導性材料のサンプルを冷却プレートとヒーターで挟み込み、所定の圧力をかけた状態でヒーターを加熱する。次に、定常状態での熱量と、サンプル上下の温度差から熱抵抗値を算出する。熱抵抗は、以下の数式(5)で表される。

Figure 0006946235
ここで、
R : 熱抵抗(cm・K/W)
: ヒーター側温度(℃)
: 冷却プレート側温度(℃)
Q : 熱量(W)
S : 面積(cm
である。 (Measurement method of thermal resistance by steady-state method)
First, a sample of a heat conductive material having a diameter of 33 mm is sandwiched between a cooling plate and a heater, and the heater is heated under a predetermined pressure. Next, the thermal resistance value is calculated from the amount of heat in the steady state and the temperature difference between the top and bottom of the sample. The thermal resistance is expressed by the following mathematical formula (5).
Figure 0006946235
here,
R: Thermal resistance (cm 2・ K / W)
Th : Heater side temperature (° C)
T c : Cooling plate side temperature (° C)
Q: Calorie (W)
S: Area (cm 2 )
Is.

このようにして熱伝導性材料の熱抵抗を測定し、圧力と熱抵抗、圧力と厚みの相関関係を測定すればよい。すなわち、熱伝導性材料のサンプルにかける圧力を変化させて熱抵抗を測定し、熱伝導性材料にかかる圧力と熱抵抗の関係を求められる。また、熱伝導性材料のサンプルにかける圧力を変化させることにより、熱伝導性材料のサンプルの厚みを変化させ、熱伝導性材料にかかる圧力と厚みの関係を求めることができる。上記熱抵抗の測定を熱伝導性材料の製品名毎に行うことにより、熱伝導性材料の製品名毎に、圧力と熱抵抗の関係、圧力と厚みの関係を求めることができる。また、等価熱伝導率は下記の式より求めることができる。

Figure 0006946235
In this way, the thermal resistance of the thermally conductive material may be measured, and the correlation between the pressure and the thermal resistance and the pressure and the thickness may be measured. That is, the thermal resistance is measured by changing the pressure applied to the sample of the heat conductive material, and the relationship between the pressure applied to the heat conductive material and the thermal resistance can be obtained. Further, by changing the pressure applied to the sample of the heat conductive material, the thickness of the sample of the heat conductive material can be changed, and the relationship between the pressure applied to the heat conductive material and the thickness can be obtained. By measuring the thermal resistance for each product name of the heat conductive material, the relationship between the pressure and the heat resistance and the relationship between the pressure and the thickness can be obtained for each product name of the heat conductive material. Further, the equivalent thermal conductivity can be obtained from the following equation.
Figure 0006946235

工程aで熱伝導性材料の圧力と熱抵抗の関係、圧力と厚みの関係、圧力と等価熱伝導率の関係のデータベースをコンピュータに組み込んだ後、コンピュータにおいて熱伝導性材料の製品名を選択する(工程b)。特性データベースに熱伝導性材料の製品名を保存しておけば、熱伝導性材料の製品名を選択することにより、加圧時の圧力と熱伝導性材料の各特性の関係の取得を簡便に行うことができる。 In step a, after incorporating the database of the relationship between the pressure and the thermal resistance of the thermally conductive material, the relationship between the pressure and the thickness, and the relationship between the pressure and the equivalent thermal conductivity into the computer, the product name of the thermally conductive material is selected in the computer. (Step b). If you save the product name of the heat conductive material in the property database, you can easily obtain the relationship between the pressure during pressurization and each property of the heat conductive material by selecting the product name of the heat conductive material. It can be carried out.

工程bでコンピュータにおいて熱伝導性材料の製品名を選択した後は、コンピュータが、選択された熱伝導性材料の製品名毎に、加圧する際の圧力と熱伝導性材料の熱抵抗の関係、加圧する際の圧力と熱伝導性材料の厚みの関係、及び加圧する際の圧力と熱伝導性材料の等価熱伝導率の関係を画面表示手段の画面に表示(描画)する(工程c)。このようにして、本発明の方法では、加圧時の熱伝導性材料の特性を求めることができる。 After selecting the product name of the heat conductive material in the computer in step b, the relationship between the pressure when the computer pressurizes and the heat resistance of the heat conductive material for each product name of the selected heat conductive material, The relationship between the pressure at the time of pressurization and the thickness of the heat conductive material and the relationship between the pressure at the time of pressurization and the equivalent thermal conductivity of the heat conductive material are displayed (drawn) on the screen of the screen display means (step c). In this way, in the method of the present invention, the characteristics of the heat conductive material at the time of pressurization can be determined.

また、本発明は、熱伝導性材料の製品名を選択する前に(すなわち、工程bの前に)、特性データベースに保存された熱伝導性材料の製品名の中から、選択する熱伝導性材料の製品名の候補を絞り込む工程を有することができる(図1の工程d)。この工程dは少なくとも工程bの前に行われればよい。この製品名の候補を絞り込む工程dは、具体的には以下のような段階によることができる。まず、熱伝導性材料の製品名と、製品名を有する熱伝導性材料の硬度に応じて分類された硬度分類、製品厚み、カタログ熱伝導率、及び絶縁破壊電圧の各条件が関連づけられた製品データベースをコンピュータに組み込む(段階d−1)。なお、「硬度分類」とは、製品の硬度に基づいて与えられる分類であり、例えば、「低硬度」、「高硬度」、「低硬度と高硬度の複合品」などの分類区分が各製品に付される。また、「カタログ熱伝導率」とは、以下の測定方法によって測定される熱伝導性材料の熱伝導率である。
(カタログ熱伝導率の測定方法)
60mm×60mm×厚さ6mmのサンプル2枚でセンサーを挟み、センサーに定電流を流し、一定発熱させて、センサーの温度上昇から熱伝導率(カタログ熱伝導率)を算出する。熱伝導率(カタログ熱伝導率)は以下の数式(7)から求めることができる。

Figure 0006946235
ここで、
τ:
Figure 0006946235
で定義される無次元パラメータ
ΔTave(τ): センサーの温度上昇(℃)
D(τ): 無次元化されたτの関数
: センサーに加えられる全出力(W)
π: 円周率
r: センサーの半径(m)
λ: サンプルの熱伝導率(W/m−K)
α: サンプルの熱拡散率(m/s)
t: 測定時間(sec)
である。 In addition, the present invention also selects from the product names of the thermally conductive material stored in the property database before selecting the product name of the thermally conductive material (that is, before step b). It is possible to have a step of narrowing down the product name candidates of the material (step d in FIG. 1). This step d may be performed at least before step b. Specifically, the step d for narrowing down the product name candidates can be performed in the following steps. First, the product name of the heat conductive material and the product in which the conditions of hardness classification, product thickness, catalog thermal conductivity, and breakdown voltage classified according to the hardness of the heat conductive material having the product name are related. Incorporate the database into the computer (step d-1). The "hardness classification" is a classification given based on the hardness of the product. For example, each product is classified into a classification such as "low hardness", "high hardness", and "composite product of low hardness and high hardness". Attached to. Further, the "catalog thermal conductivity" is the thermal conductivity of the thermally conductive material measured by the following measuring method.
(Catalog method for measuring thermal conductivity)
The sensor is sandwiched between two samples of 60 mm × 60 mm × 6 mm in thickness, a constant current is passed through the sensor, heat is constantly generated, and the thermal conductivity (catalog thermal conductivity) is calculated from the temperature rise of the sensor. The thermal conductivity (catalog thermal conductivity) can be obtained from the following mathematical formula (7).
Figure 0006946235
here,
τ:
Figure 0006946235
Dimensionless parameter ΔT ave (τ) defined by: Sensor temperature rise (° C)
D (τ): Function of dimensionless τ P 0 : Total output applied to the sensor (W)
π: Pi r: Sensor radius (m)
λ: Thermal conductivity of the sample (W / m-K)
α: Thermal diffusivity of the sample (m 2 / s)
t: Measurement time (sec)
Is.

次に、コンピュータに、上記の硬度分類、製品厚み、カタログ熱伝導率、及び絶縁破壊電圧のうち少なくとも1つの条件を入力する(段階d−2)。次に、コンピュータが、製品データベースに基づいて、入力した条件に適合する製品名を列挙する(段階d−3)。以上段階d−1〜d3を経て、入力した条件に適合する製品名の候補を絞り込むことができる。このように、硬度分類、製品厚み、カタログ熱伝導率、及び絶縁破壊電圧の各条件が関連づけられた製品データベースをコンピュータに組み込んでおけば、全製品リストから条件にあった製品だけを絞り込むことができ、簡単に所望の製品名を選定することができる。 Next, at least one of the above-mentioned hardness classification, product thickness, catalog thermal conductivity, and breakdown voltage is input to the computer (step d-2). Next, the computer lists the product names that meet the entered conditions based on the product database (step d-3). Through the above steps d-1 to d3, product name candidates that meet the input conditions can be narrowed down. In this way, by incorporating a product database in which the conditions of hardness classification, product thickness, catalog thermal conductivity, and breakdown voltage are associated with each other in the computer, it is possible to narrow down only the products that meet the conditions from the entire product list. It is possible to easily select a desired product name.

工程dにおいて、熱伝導性材料の硬度分類、製品厚み、カタログ熱伝導率、絶縁破壊電圧の条件を選択・入力し、製品データベースの製品リストの中から条件にあった熱伝導性材料を選定した後は、工程bにおいて、その選定した製品名を入力することにより、熱伝導性材料の製品名からその製品名の加圧時の圧力と熱抵抗・厚み・等価熱伝導率の関係を求めることができる。製品名を有する熱伝導性材料の硬度分類、製品厚み、カタログ熱伝導率、及び絶縁破壊電圧の各条件が関連づけられた製品データベースの製品リストは任意に作成することができる。例えば、信越化学工業株式会社製の熱伝導性材料の製品リストとすることができる。 In step d, the conditions of heat conductive material hardness classification, product thickness, catalog thermal conductivity, and insulation breakdown voltage were selected and input, and the heat conductive material that met the conditions was selected from the product list of the product database. After that, in step b, by inputting the selected product name, the relationship between the pressure at the time of pressurization of the product name and the thermal resistance / thickness / equivalent thermal conductivity is obtained from the product name of the heat conductive material. Can be done. A product list of a product database in which the conditions of hardness classification, product thickness, catalog thermal conductivity, and dielectric breakdown voltage of a thermally conductive material having a product name are associated with each other can be arbitrarily created. For example, it can be a product list of thermally conductive materials manufactured by Shin-Etsu Chemical Co., Ltd.

本発明では、上記のように、熱伝導性材料の製品名毎に圧力と熱抵抗の関係、圧力と厚みの関係、圧力と等価熱伝導率の関係を有する特性データベースを用いるわけであるが、この熱伝導性材料の製品名毎の関係等は、いつでも特性データベースに追加することができる。すなわち、既に構築されている特性データベースに対し、例えば、製品名毎に設定された熱伝導性材料の圧力と熱抵抗の関係、圧力と厚みの関係及び圧力と等価熱伝導率の関係を新たに追加することができる。 In the present invention, as described above, a characteristic database having a relationship between pressure and thermal resistance, a relationship between pressure and thickness, and a relationship between pressure and equivalent thermal conductivity is used for each product name of the heat conductive material. The relationship of each product name of this thermally conductive material can be added to the characteristic database at any time. That is, for example, the relationship between the pressure and the thermal resistance of the heat conductive material, the relationship between the pressure and the thickness, and the relationship between the pressure and the equivalent thermal conductivity set for each product name are newly added to the already constructed characteristic database. Can be added.

より具体的な実施態様を、図2〜5を参照しながら説明する。図2は、上記した工程dにおいて、製品データベースに保存された製品リストの中から、硬度分類、製品厚み、カタログ熱伝導率、絶縁破壊電圧の条件にあった製品を選定する方法を説明する図である。図2に示したように、各製品には、硬度分類として「低硬度」「低硬度+高硬度」「高硬度」のいずれかが付されている。また、各製品の製品厚みの下限値及び上限値、カタログ熱伝導率の下限値及び上限値、絶縁破壊電圧の下限値が保存されている。 More specific embodiments will be described with reference to FIGS. 2-5. FIG. 2 is a diagram illustrating a method of selecting a product that meets the conditions of hardness classification, product thickness, catalog thermal conductivity, and dielectric breakdown voltage from the product list stored in the product database in the above step d. Is. As shown in FIG. 2, each product is given one of "low hardness", "low hardness + high hardness", and "high hardness" as a hardness classification. In addition, the lower and upper limits of the product thickness of each product, the lower and upper limits of the catalog thermal conductivity, and the lower and lower limits of the dielectric breakdown voltage are stored.

図2のように、製品データベースが組み込まれたコンピュータに対し、入力部で、熱伝導性材料の硬度の分類、製品厚み、カタログ熱伝導率、絶縁破壊電圧を選択・入力し、品番検索ボタンをクリックする。そうすると製品リストの中から条件にあった製品名が出力される。なお、全製品リストを表示することもでき、その場合は図2に示したようにリセットボタンをクリックすればよい。 As shown in Fig. 2, for a computer with a built-in product database, select and enter the classification of thermal conductive material hardness, product thickness, catalog thermal conductivity, and breakdown voltage in the input section, and click the product number search button. click. Then, the product name that meets the conditions is output from the product list. It is also possible to display a list of all products, in which case the reset button may be clicked as shown in FIG.

図3に示したように、コンピュータに組み込まれた特性データベースには、熱伝導性材料の製品名毎に関係づけられた「熱伝導性材料にかかる圧力と熱抵抗の関係」と「熱伝導性材料にかかる圧力と厚みの関係」と「熱伝導性材料にかかる圧力と等価熱伝導率の関係」が保存されている。 As shown in FIG. 3, in the characteristic database built into the computer, "relationship between pressure and thermal resistance applied to the heat conductive material" and "heat conductivity" are associated with each product name of the heat conductive material. "Relationship between pressure applied to material and thickness" and "Relationship between pressure applied to thermally conductive material and equivalent thermal conductivity" are preserved.

図3は特性データベースを基にして、本発明で用いられる製品リストから圧力と熱抵抗の関係、圧力と厚みの関係、圧力と等価熱伝導率の関係を画面表示手段の画面に表示(描画)する方法を説明する図である。 FIG. 3 shows (draws) the relationship between pressure and thermal resistance, the relationship between pressure and thickness, and the relationship between pressure and equivalent thermal conductivity on the screen of the screen display means from the product list used in the present invention based on the characteristic database. It is a figure explaining the method of doing.

図3に示したように熱伝導性材料の製品名を選択すると、コンピュータに組み込まれた特性データベースを参照し、製品名の圧力と熱抵抗の関係、圧力と厚みの関係、圧力と等価熱伝導率の関係がグラフとして画面表示手段の画面に描画される。 When the product name of the heat conductive material is selected as shown in Fig. 3, the characteristic database built into the computer is referred to, and the relationship between pressure and thermal resistance, the relationship between pressure and thickness, and pressure and equivalent heat conduction of the product name are referred to. The relationship between the rates is drawn as a graph on the screen of the screen display means.

図4と図5を参照して、より具体的な本発明の実施態様を説明する。図4は製品リストの中から熱伝導性材料の硬度の分類、製品厚み、カタログ熱伝導率、絶縁破壊電圧の条件にあった製品を選定する計算シートの入力画面の一例を示す図である。この計算シートは、例えば、Microsoft Excel(登録商標)等の表計算ソフトウェアを用いて作成することができる。 A more specific embodiment of the present invention will be described with reference to FIGS. 4 and 5. FIG. 4 is a diagram showing an example of an input screen of a calculation sheet for selecting a product that meets the conditions of heat conductive material hardness classification, product thickness, catalog thermal conductivity, and dielectric breakdown voltage from the product list. This calculation sheet can be created using, for example, spreadsheet software such as Microsoft Excel®.

図5は図4で選定した熱伝導性材料の製品名を選択することにより、その製品名の圧力と熱抵抗の関係、圧力と厚みの関係、圧力と等価熱伝導率の関係を描画する計算シートの入力画面の一例を示す図である。この計算シートは、例えば、Microsoft Excel(登録商標)等の表計算ソフトウェアを用いて作成することができる。 FIG. 5 is a calculation for drawing the relationship between pressure and thermal resistance, the relationship between pressure and thickness, and the relationship between pressure and equivalent thermal conductivity by selecting the product name of the thermally conductive material selected in FIG. It is a figure which shows an example of the input screen of a sheet. This calculation sheet can be created using, for example, spreadsheet software such as Microsoft Excel®.

図4、図5には、硬度の低い放熱パッド(Soft Pad)と硬度の高い放熱シート(Hard Pad)及び放熱パッドと放熱シートの積層品の製品名が登録されている。加圧しない状態の厚さ(0.5mm、1.0mm等)によって、「50CAS−10」「100CAS−10」「50CAB−10」「100CAB−10」のように登録されており、例えば、製品名「50CAS−10」は製品名「TC−50CAS−10」の略称である。図4では硬度の分類、製品厚み、カタログ熱伝導率、絶縁破壊電圧の条件を選択・入力すると条件にあった製品名が表示され、図5では製品名を選択するとその製品名の圧力と熱抵抗の関係、圧力と厚みの関係、圧力と等価熱伝導率の関係が描画される。 In FIGS. 4 and 5, product names of a heat-dissipating pad (Soft Pad) having a low hardness, a heat-dissipating sheet (Hard Pad) having a high hardness, and a laminated product of the heat-dissipating pad and the heat-dissipating sheet are registered. Depending on the thickness (0.5 mm, 1.0 mm, etc.) in the non-pressurized state, it is registered as "50CAS-10", "100CAS-10", "50CAB-10", "100CAB-10", for example, a product. The name "50CAS-10" is an abbreviation for the product name "TC-50CAS-10". In Fig. 4, when the conditions of hardness classification, product thickness, catalog thermal conductivity, and breakdown voltage are selected and entered, the product name that meets the conditions is displayed. In Fig. 5, when the product name is selected, the pressure and heat of that product name are displayed. The relationship between resistance, pressure and thickness, and pressure and equivalent thermal conductivity are drawn.

図4、図5の計算シートを用いて、熱伝導性材料の特性を求めた。まず、図4の計算シートにて硬度の分類に低硬度を選択し、製品厚みに0mm以上5mm以下、カタログ熱伝導率に4W/m−K以上5W/m−K以下、絶縁破壊電圧10kV以上の条件を入力したところ、50CAT20、100CAT20、150CAT20、200CAT20、300CAT20の5製品が選定された。次に、図5において、前述の5製品を選択し、5製品について圧力と熱抵抗の関係、圧力と厚みの関係、圧力と等価熱伝導率の関係を描画した。このように、熱伝導性材料の圧力と熱抵抗の関係・圧力と厚みの関係・圧力と等価熱伝導率の関係を簡単に取得できた。 The characteristics of the thermally conductive material were determined using the calculation sheets of FIGS. 4 and 5. First, select low hardness for the hardness classification on the calculation sheet of FIG. 4, and select 0 mm or more and 5 mm or less for the product thickness, 4 W / m-K or more and 5 W / m-K or less for the catalog thermal conductivity, and 10 kV or more for the dielectric breakdown voltage. When the conditions of 50CAT20, 100CAT20, 150CAT20, 200CAT20, and 300CAT20 were input, five products were selected. Next, in FIG. 5, the above-mentioned 5 products were selected, and the relationship between pressure and thermal resistance, the relationship between pressure and thickness, and the relationship between pressure and equivalent thermal conductivity were drawn for the 5 products. In this way, the relationship between the pressure and thermal resistance of the thermally conductive material, the relationship between the pressure and the thickness, and the relationship between the pressure and the equivalent thermal conductivity could be easily obtained.

なお、本発明は、上記実施形態に限定されるものではない。上記実施形態は例示であり、本発明の特許請求の範囲に記載された技術的思想と実質的に同一な構成を有し、同様な作用効果を奏するものは、いかなるものであっても本発明の技術的範囲に包含される。 The present invention is not limited to the above embodiment. The above-described embodiment is an example, and any object having substantially the same configuration as the technical idea described in the claims of the present invention and exhibiting the same effect and effect is the present invention. Is included in the technical scope of.

51…熱伝導性材料、 52…発熱部材、 53…放熱部材(冷却部材)、
54…熱の移動。
51 ... Thermal conductive material, 52 ... Heat generating member, 53 ... Heat dissipation member (cooling member),
54 ... Heat transfer.

Claims (3)

発熱部材から放熱部材への熱の伝達を高めるために使用される熱伝導性材料を加圧する際の前記熱伝導性材料の特性を求める方法であって、
前記熱伝導性材料の製品名毎の、前記加圧する際の圧力と前記熱伝導性材料の熱抵抗の関係、前記加圧する際の圧力と前記熱伝導性材料の厚みの関係、及び前記加圧する際の圧力と前記熱伝導性材料の等価熱伝導率の関係が保存されている特性データベースを、コンピュータに組み込む工程と、
前記コンピュータにおいて前記熱伝導性材料の製品名を選択する工程と、
前記コンピュータが、前記選択された熱伝導性材料の製品名毎に、前記加圧する際の圧力と前記熱伝導性材料の熱抵抗の関係、前記加圧する際の圧力と前記熱伝導性材料の厚みの関係、及び前記加圧する際の圧力と前記熱伝導性材料の等価熱伝導率の関係を画面表示手段の画面に表示する工程と
により、加圧時の熱伝導性材料の特性を求める方法。
It is a method of obtaining the characteristics of the heat conductive material when pressurizing the heat conductive material used for enhancing the heat transfer from the heat generating member to the heat radiating member.
For each product name of the heat conductive material, the relationship between the pressure at the time of pressurization and the heat resistance of the heat conductive material, the relationship between the pressure at the time of pressurization and the thickness of the heat conductive material, and the pressurization. The process of incorporating a characteristic database that stores the relationship between the pressure at the time and the equivalent thermal conductivity of the thermally conductive material into a computer, and
The step of selecting the product name of the heat conductive material in the computer and
For each product name of the selected heat conductive material, the computer describes the relationship between the pressure at the time of pressurization and the thermal resistance of the heat conductive material, the pressure at the time of pressurization and the thickness of the heat conductive material. The method of obtaining the characteristics of the heat conductive material at the time of pressurization by the step of displaying the relationship between the above and the pressure at the time of pressurization and the equivalent thermal conductivity of the heat conductive material on the screen of the screen display means.
前記熱伝導性材料の製品名毎の、前記加圧する際の圧力と前記熱伝導性材料の熱抵抗の関係及び前記加圧する際の圧力と前記熱伝導性材料の厚みの関係は、温度一定の条件で熱抵抗を測定する定常法で前記熱伝導性材料の製品名毎に測定した熱抵抗及び厚みに基づいて求められたものであり、
前記熱伝導性材料の製品名毎の、前記加圧する際の圧力と前記熱伝導性材料の等価熱伝導率の関係は、前記定常法で前記熱伝導性材料の製品名毎に測定した熱抵抗及び厚みに基づいて求められた前記加圧する際の圧力と前記熱伝導性材料の熱抵抗の関係及び前記加圧する際の圧力と前記熱伝導性材料の厚みの関係に基づいて求められたものであることを特徴とする請求項1に記載の加圧時の熱伝導性材料の特性を求める方法。
For each product name of the heat conductive material, the relationship between the pressure at the time of pressurization and the heat resistance of the heat conductive material and the relationship between the pressure at the time of pressurization and the thickness of the heat conductive material are constant in temperature. It was obtained based on the thermal resistance and thickness measured for each product name of the thermally conductive material by the steady method of measuring the thermal resistance under the conditions.
The relationship between the pressure at the time of pressurization and the equivalent thermal conductivity of the thermally conductive material for each product name of the thermally conductive material is the thermal resistance measured for each product name of the thermally conductive material by the steady method. And the relationship between the pressure at the time of pressurization and the thermal resistance of the heat conductive material obtained based on the thickness and the relationship between the pressure at the time of pressurization and the thickness of the heat conductive material. The method for obtaining the characteristics of a heat conductive material at the time of pressurization according to claim 1, wherein the material is present.
前記熱伝導性材料の製品名を選択する前に、前記特性データベースに保存された前記熱伝導性材料の製品名の中から、前記選択する熱伝導性材料の製品名の候補を絞り込む工程を有し、
前記製品名の候補を絞り込む工程を、
前記製品名と、前記製品名を有する熱伝導性材料の硬度に応じて分類された硬度分類、製品厚み、カタログ熱伝導率、及び絶縁破壊電圧の各条件が関連づけられた製品データベースを前記コンピュータに組み込む段階と、
前記コンピュータに、前記硬度分類、製品厚み、カタログ熱伝導率、及び絶縁破壊電圧のうち少なくとも1つの条件を入力する段階と、
前記コンピュータが、前記製品データベースに基づいて、前記入力した条件に適合する製品名を列挙する段階と、
により、前記入力した条件に適合する製品名の候補を絞り込むことにより行うことを特徴とする請求項1又は請求項2に記載の加圧時の熱伝導性材料の特性を求める方法。
Before selecting the product name of the heat conductive material, there is a step of narrowing down the product name candidates of the heat conductive material to be selected from the product names of the heat conductive material stored in the property database. death,
The process of narrowing down the product name candidates
The computer is provided with a product database in which the product name and the conditions of hardness classification, product thickness, catalog thermal conductivity, and dielectric breakdown voltage classified according to the hardness of the heat conductive material having the product name are associated with each other. The stage of incorporation and
A step of inputting at least one condition of the hardness classification, product thickness, catalog thermal conductivity, and dielectric breakdown voltage into the computer.
The stage where the computer lists the product names that meet the entered conditions based on the product database, and
The method for obtaining the characteristics of a heat conductive material at the time of pressurization according to claim 1 or 2, wherein the product name candidates that meet the input conditions are narrowed down.
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