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JPS6310378B2 - - Google Patents
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JPS6310378B2 - - Google Patents

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Publication number
JPS6310378B2
JPS6310378B2 JP58102225A JP10222583A JPS6310378B2 JP S6310378 B2 JPS6310378 B2 JP S6310378B2 JP 58102225 A JP58102225 A JP 58102225A JP 10222583 A JP10222583 A JP 10222583A JP S6310378 B2 JPS6310378 B2 JP S6310378B2
Authority
JP
Japan
Prior art keywords
strain
fatigue
gauge
load
repeated
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired
Application number
JP58102225A
Other languages
Japanese (ja)
Other versions
JPS59226849A (en
Inventor
Tsuguhiko Sato
Hiroshi Abe
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Individual
Original Assignee
Individual
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Individual filed Critical Individual
Priority to JP10222583A priority Critical patent/JPS59226849A/en
Publication of JPS59226849A publication Critical patent/JPS59226849A/en
Publication of JPS6310378B2 publication Critical patent/JPS6310378B2/ja
Granted legal-status Critical Current

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Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N3/00Investigating strength properties of solid materials by application of mechanical stress
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N2203/00Investigating strength properties of solid materials by application of mechanical stress
    • G01N2203/02Details not specific for a particular testing method
    • G01N2203/026Specifications of the specimen
    • G01N2203/0296Welds

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  • Physics & Mathematics (AREA)
  • Health & Medical Sciences (AREA)
  • Life Sciences & Earth Sciences (AREA)
  • Chemical & Material Sciences (AREA)
  • Analytical Chemistry (AREA)
  • Biochemistry (AREA)
  • General Health & Medical Sciences (AREA)
  • General Physics & Mathematics (AREA)
  • Immunology (AREA)
  • Pathology (AREA)
  • Investigating Strength Of Materials By Application Of Mechanical Stress (AREA)

Description

【発明の詳細な説明】 本発明は、スポツト溶接継手の設計基準データ
として有効な疲れ寿命及び疲れき裂発生位置を予
測する方法に関するものである。
DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a method for predicting fatigue life and fatigue crack occurrence positions that are effective as design standard data for spot welded joints.

ここで「疲れ寿命」とは、疲れ限度、疲れ時間
強さ及び疲れ時間寿命等いわゆる疲れ強さに関係
した諸量を含み、スポツト溶接継手の現時点での
疲れの状態あるいはその疲れの進行状態から予測
される疲れ強さに関係した諸量、特に荷重範囲
(繰り返し荷重の最大荷重と最小荷重の代数差)
とこれに対応する疲れ破壊が起るまでの時間ある
いは繰り返し数をいう。なお、ランダム荷重の場
合は、上述のように規定した繰り返し荷重の場合
に準ずるものとする。
Here, "fatigue life" includes various quantities related to so-called fatigue strength, such as fatigue limit, fatigue time strength, and fatigue time life. Various quantities related to predicted fatigue strength, especially load range (algebraic difference between maximum and minimum load of repeated loading)
and the corresponding time or number of repetitions until fatigue failure occurs. Note that in the case of random loads, the same applies to the case of repeated loads as specified above.

稼動中又は実装テスト中のスポツト溶接構造物
におけるスポツト溶接継手の疲れ寿命及び疲れき
裂発生位置を予測する方法が、スポツト溶接構造
物の安全設計の立場からも強く要望されているに
もかかわらず、いまだ実用に供するような方法は
開発されていない。これは継手構造の特殊性から
スポツト溶接部近傍の応力集中度が高く、複雑な
不均一応力場となつていることに起因している。
Despite the fact that there is a strong need for a method for predicting the fatigue life and fatigue crack initiation location of spot welded joints in spot welded structures during operation or implementation testing from the standpoint of safety design of spot welded structures. However, no practical method has been developed yet. This is because the stress concentration near the spot weld is high due to the special nature of the joint structure, resulting in a complex non-uniform stress field.

ただ、実験的には、第1図ないし第3図に示す
ように、2枚の金属板1,2の単点スポツト溶接
継手におけるスポツト溶接部の電極圧痕3の外側
であつて、疲れき裂が発生する荷重軸方向のナゲ
ツト(溶融部)4近傍位置にひずみゲージ5を貼
り付け、このひずみゲージ5のひずみ出力から疲
れ強さに関係した諸量、例えば荷重範囲とこれに
対応する繰り返し数又は時間等を検出して、疲れ
寿命を予測する方法が検討されたことはある。
However, experimentally, as shown in Figures 1 to 3, fatigue cracks have been detected outside the electrode indentation 3 of the spot weld in a single spot welded joint between two metal plates 1 and 2. A strain gauge 5 is attached to a position near the nugget (molten part) 4 in the direction of the load axis where this occurs, and various quantities related to fatigue strength, such as the load range and the corresponding number of repetitions, are determined from the strain output of the strain gauge 5. Alternatively, methods of predicting fatigue life by detecting time, etc. have been considered.

しかしながら、この方法は、荷重軸方向が判明
していないと使用できず、またひずみゲージを貼
り付けるのに有効な場所が必要であるため、主応
力方向が不明である場合が多い実際の多点スポツ
ト溶接構造物には適用し難く、実験室的検討段階
の域を脱し得ないものであつた。
However, this method cannot be used unless the direction of the load axis is known, and it requires a valid location for pasting the strain gauge. Therefore, this method can be used at multiple points where the principal stress direction is often unknown. This method was difficult to apply to spot welded structures and remained at the stage of laboratory investigation.

本発明はこのような現状に鑑みて開発されたも
ので、実験室的検討は勿論、稼動中又は実装テス
ト中の多点スポツト溶接構造物におけるスポツト
溶接継手の疲れ寿命及び疲れき裂発生位置を短時
間で、しかもきわめて正確に予測できる方法を提
供することを目的とする。
The present invention was developed in view of the current situation, and is useful not only for laboratory studies but also for determining the fatigue life and fatigue crack occurrence positions of spot welded joints in multi-point spot welded structures during operation or mounting tests. The purpose is to provide a method that can predict extremely accurately in a short time.

上記目的を達成するために講じた本発明方法の
技術的手段の特徴は、スポツト溶接部の電極圧痕
表面にひずみゲージを貼り付ける点にある。
A feature of the technical means of the method of the present invention taken to achieve the above object is that a strain gauge is attached to the surface of the electrode indentation of the spot weld.

すなわち、本発明はスポツト溶接部の電極圧痕
表面に複数のひずみゲージを等間隔をおいて放射
状に配置して貼り付け、該ひずみゲージから得ら
れるひずみ出力を処理して、疲れ強さに関係した
諸情報を得るようにしたもので、前記情報を直接
的にかつ正確に得ることができる利点がある。特
に、ひずみゲージを貼り付ける電極圧痕部分はナ
ゲツト(溶融部)によつて一体化した接合部分で
あつて、他の部分に比べて剛性が高く、ナゲツト
の前面で起る局部的な曲げ変形等の影響をあまり
受けることがなく、スポツト溶接部に直接作用し
ている応力に関係したひずみ出力を得ることがで
きる。したがつて、得られたひずみ出力は、該ひ
ずみゲージが貼られている場所(電極圧痕表面)
の応力に関係した量と1対1の対応関係にあり、
広い荷重範囲において直線性の良い荷重範囲―ひ
ずみ出力線図を得ることができ、その結果、疲れ
寿命を短時間に、しかも正確に予測することがで
きるものである。
That is, the present invention affixes a plurality of strain gauges radially arranged at equal intervals on the electrode indentation surface of a spot weld, processes the strain output obtained from the strain gauges, and calculates the results related to fatigue strength. This system is designed to obtain various information, and has the advantage of being able to obtain the information directly and accurately. In particular, the electrode indentation part where the strain gauge is pasted is a joint part that is integrated by the nugget (molten part), and has higher rigidity than other parts, and is susceptible to local bending deformation that occurs on the front surface of the nugget. It is possible to obtain a strain output related to the stress directly acting on the spot weld. Therefore, the obtained strain output is based on the location where the strain gauge is attached (electrode indentation surface).
There is a one-to-one correspondence with the amount related to the stress of
It is possible to obtain a load range-strain output diagram with good linearity over a wide load range, and as a result, fatigue life can be predicted quickly and accurately.

また、本発明方法によれば、ひずみゲージのパ
ターンを適宜選択することによつて、個々のスポ
ツト溶接部に作用している主応力方向が容易かつ
正確に検出することができ、この主応力方向から
疲れき裂発生位置(必ず主応力方向に発生する)
をも同時に予測することができる。このように、
スポツト溶接継手に疲れ荷重が作用している状態
で疲れき裂位置の予測ができることは本発明の特
徴の一つであり、このことはスポツト溶接構造物
の合理的な安全設計に貴重なデータを提供するこ
とができ、きわめて有効である。更に、疲れき裂
の発生と進展に伴つて変化するひずみ出力情報か
ら、従来の研究では測定不可能であつた初期疲れ
き裂の発生時期や進展速度等のいわゆる疲れき裂
挙動をも比較的短時間にかつ非破壊で検出するこ
とができる。
Furthermore, according to the method of the present invention, by appropriately selecting the pattern of strain gauges, the direction of principal stress acting on each spot weld can be easily and accurately detected. (always occurs in the principal stress direction)
can be predicted at the same time. in this way,
One of the features of the present invention is that the fatigue crack position can be predicted while a fatigue load is acting on the spot welded joint, and this provides valuable data for the rational safety design of spot welded structures. can be provided and is extremely effective. Furthermore, from the strain output information that changes with the initiation and propagation of fatigue cracks, it is possible to compare the so-called fatigue crack behavior, such as the timing of initial fatigue crack initiation and propagation rate, which was impossible to measure in previous studies. It can be detected in a short time and non-destructively.

更に、本発明によれば、ひずみゲージを電極圧
痕表面に貼り付けるので、スポツト溶接部が部材
の端部に位置していたり、スポツト溶接部の近傍
で部材が折り曲げられたりしている構造物の場合
でも、必ずひずみゲージを貼り付けることがで
き、構造物の形状によつて制約を受けることがな
い。
Furthermore, according to the present invention, since the strain gauge is attached to the surface of the electrode indentation, the spot weld is located at the end of the member, or the member is bent in the vicinity of the spot weld. In any case, strain gauges can always be attached and are not restricted by the shape of the structure.

以下、本発明の実施例を第4図以下の図面に基
づいて説明する。第4図は本発明方法を実施する
ためのひずみゲージのパターンの一例を示してい
る。ひずみゲージ5は8個からなり、電極圧痕3
表面のほぼ同一円上に等間隔をおいて放射状に配
置して貼り付けられている。ひずみゲージ5の個
数は多い方が主応力方向をより正確に検出するこ
とができ、効果的である。図中、6はゲージ端
子、7はリード線である。
Hereinafter, embodiments of the present invention will be described based on the drawings from FIG. 4 onwards. FIG. 4 shows an example of a strain gauge pattern for carrying out the method of the present invention. The strain gauge 5 consists of eight pieces, and the electrode indentation 3
They are radially arranged and pasted at equal intervals on almost the same circle on the surface. The larger the number of strain gauges 5, the more accurately the principal stress direction can be detected, which is effective. In the figure, 6 is a gauge terminal and 7 is a lead wire.

第5図は、本発明の原理説明のため、第1図に
例示した単点スポツト溶接継手に片振り繰り返し
荷重を加えた場合に、第4図に示した8個のひず
みゲージ5により得られたひずみ出力をモデル的
に図示したものである。
In order to explain the principle of the present invention, FIG. 5 shows the strain obtained by the eight strain gauges 5 shown in FIG. 4 when a repeated oscillating load is applied to the single spot welded joint shown in FIG. 1. This is a model-like illustration of the strain output.

第5図4―0は、繰り返し荷重波形の一例を示
したもので、縦軸は繰り返し荷重の大きさLを示
し、横軸は時間tを示している。図中のLmaxは
繰り返し荷重の最大荷重を、Lminは繰り返し荷
重の最小荷重を、そして△Lは繰り返し荷重の荷
重範囲を示している。
FIG. 5 4-0 shows an example of a repeated load waveform, in which the vertical axis shows the magnitude L of the repeated load, and the horizontal axis shows the time t. In the figure, Lmax indicates the maximum load of repeated loads, Lmin indicates the minimum load of repeated loads, and ΔL indicates the load range of repeated loads.

第5図4―1〜8は、第4図に示すひずみゲー
ジ5のゲージNo.1〜8のひずみ出力波形を、4―
0の繰り返し荷重波形の時間tに対応させて、そ
れぞれ示したものである。この場合、あらかじめ
荷重方向がわかつているので、ゲージNo.は、荷重
軸方向に一致しているゲージをNo.1とし、右まわ
りにそれぞれNo.2,No.3,……、No.8と付けてい
る。第5図4―1〜8において縦軸のひずみε=
0の線は、第5図4―0に示す繰り返し荷重の最
小荷重Lminの時のひずみ出力を零とした場合の
値を示す。このような信号処理を行なうと、ひず
み振幅がε=0の線より上側にある場合は繰り返
し荷重と波形において同相(第5図4―1,2,
5,8)であり、これとは逆に、ε=0の線より
下側にある場合は逆相(第5図4―3,4,6,
7)であるということが容易に判別できる。な
お、この実施例は、繰り返し荷重の最小荷重
Lmin=0の完全片振りの場合の結果を示してい
る。
FIG. 5 4-1 to 4-8 show the strain output waveforms of gauge Nos. 1 to 8 of the strain gauge 5 shown in FIG.
The graphs are respectively shown in correspondence with the time t of the 0 repeated load waveform. In this case, since the load direction is known in advance, the gauge No. 1 is the one that corresponds to the load axis direction, and the gauges numbered clockwise are No. 2, No. 3, ..., No. 8. It is attached. In Figure 5 4-1 to 4-8, vertical axis strain ε=
The line 0 indicates the value when the strain output at the minimum load Lmin of the repeated load shown in FIG. 5 4-0 is set to zero. When such signal processing is performed, if the strain amplitude is above the line ε = 0, the repetitive load and the waveform are in phase (Fig. 5-4-1, 2,
5, 8), and conversely, if it is below the line of ε = 0, the phase is reversed (Fig. 5-4-3, 4, 6,
7) can be easily determined. In addition, this example is based on the minimum load of repeated load.
The results are shown in the case of complete unilateral swing with Lmin=0.

第4図に示すひずみゲージ5……より得られる
ひずみ出力波形は、第5図4―1〜8にそれぞれ
示すように、繰り返し荷重に対して、それぞれ位
相と振幅範囲において特定の相互関係を有してい
る。なお、ここでは図示していないが、個々のひ
ずみ出力にはそれぞれ特有の直流成分を含んでお
り、この直流成分の大きさは、疲れ寿命の予測を
行なう際、有効な情報量の1つになり得る。本実
施例では、各ひずみ出力と繰り返し荷重との位相
関係やひずみ振幅範囲の大きさを特徴ずけるため
に、直流成分の1部をカツトしたモデル図として
示してある。
The strain output waveforms obtained from the strain gauges 5 shown in Figure 4 have specific correlations in phase and amplitude range with respect to repeated loads, as shown in Figures 4-1 to 4-8, respectively. are doing. Although not shown here, each strain output contains a unique DC component, and the magnitude of this DC component is one of the effective amounts of information when predicting fatigue life. It can be. In this embodiment, in order to characterize the phase relationship between each strain output and repeated load and the size of the strain amplitude range, a model diagram is shown in which a part of the DC component is cut out.

本実施例の場合、それぞれのひずみゲージから
得られたひずみ出力相互間の位相とひずみ振幅範
囲の関係は、荷重軸に対して、前方の3個のゲー
ジNo.1,No.2,No.8,及び後方のゲージNo.5が繰
り返し荷重と同相であり、他のゲージ出力はすべ
て逆相である。ひずみ振幅は、荷重軸の前方に位
置しているゲージNo.1が最大である。ついで、ゲ
ージNo.2,8の同相のペア、ゲージNo.3,7の逆
相のペア、ゲージNo.4,6の逆相のペア、ゲージ
No.5の順である。これらのひずみ出力相互の関係
を処理することにより、最大荷重軸方向や繰り返
し荷重範囲が検出されるので、疲れ寿命及び疲れ
き裂位置を予測することができる。すなわち、最
大荷重軸方向は、繰り返し荷重と同相であり、か
つ最大のひずみ振幅を有しているということか
ら、容易に判別することができる。したがつて、
疲れき裂位置は、最大荷重軸方向であることよ
り、容易に予測できる。
In the case of this example, the relationship between the phase and strain amplitude range between the strain outputs obtained from each strain gauge is the relationship between the three gauges No. 1, No. 2, and No. 2 in front of the load axis. 8, and the rear gauge No. 5 are in phase with the repeated load, and all other gauge outputs are in opposite phase. The strain amplitude is maximum at gauge No. 1 located in front of the load axis. Next, the in-phase pair of gauges No. 2 and 8, the opposite-phase pair of gauges No. 3 and 7, the opposite-phase pair of gauges No. 4 and 6, and the gauge
The order is No.5. By processing the relationship between these strain outputs, the maximum load axis direction and repeated load range can be detected, so that fatigue life and fatigue crack positions can be predicted. That is, the maximum load axial direction can be easily determined because it is in phase with the repeated load and has the maximum strain amplitude. Therefore,
The fatigue crack position can be easily predicted since it is in the direction of the maximum load axis.

疲れ寿命を予測するために必要な繰り返し荷重
範囲は、第6図に示すように、あらかじめ別に求
めておいた繰り返し荷重範囲―ひずみ出力線図
(基準線図、この図は最大荷重軸方向のゲージNo.
1の∠―ε線図に相当する。)と、上述の方向で
求めたひずみ出力との比較により求めることがで
きる。このようにして得られた繰り返し荷重範囲
をもとに、第7図に示すようにあらかじめ求めて
おいたL―N線図(基準線図)から疲れ寿命を予
測することができる。
The repeated load range necessary to predict the fatigue life is calculated separately in advance from a repeated load range-strain output diagram (reference diagram, this diagram is a gauge in the maximum load axial direction), as shown in Figure 6. No.
This corresponds to the ∠-ε diagram of 1. ) and the strain output obtained in the above-mentioned direction. Based on the repeated load range obtained in this way, the fatigue life can be predicted from the LN diagram (reference diagram) obtained in advance as shown in FIG.

第6図及び第7図の基準線図は、第4図と同じ
パターンのひずみゲージを電極圧痕表面に同様に
貼り付けた単点スポツト溶接疲れ試験片を種々の
繰り返し荷重のもとで疲れ試験を行ない、得られ
たひずみ出力を繰り返し荷重範囲で整理すれば作
成できる。
The reference line diagrams in Figures 6 and 7 are for fatigue tests under various repeated loads on single-point spot weld fatigue test pieces in which strain gauges with the same pattern as in Figure 4 were affixed to the electrode indentation surface in the same manner. It can be created by organizing the obtained strain output in the repeated load range.

なお、その他の一般的な繰り返し荷重(例えば
ランダム荷重)が加わる場合についても、上記同
様にして、疲れ寿命及び疲れき裂発生位置を予測
することができる。
Note that even when other general repeated loads (for example, random loads) are applied, the fatigue life and the fatigue crack occurrence position can be predicted in the same manner as described above.

第8図は、ひずみゲージ5を放射状パターンに
形成した例であつて、各尖端部分にゲージ端子
T1……Toが設けられている。但し、始端のゲー
ジ端子T1と終端のゲージ端子Toは分離されてい
る。この場合、順次2端子間の抵抗変化を測定す
ることによつて、全方向のひずみ出力の状態がよ
り詳細に測定できる特徴がある。
FIG. 8 shows an example in which strain gauges 5 are formed in a radial pattern, with gauge terminals at each tip.
T 1 ...T o is provided. However, the gauge terminal T 1 at the start end and the gauge terminal T o at the end are separated. In this case, the state of strain output in all directions can be measured in more detail by sequentially measuring resistance changes between two terminals.

【図面の簡単な説明】[Brief explanation of the drawing]

第1図は単点スポツト溶接継手試験片の平面
図、第2図は同A―A線に沿う断面図、第3図は
従来方法の説明図、第4図は本発明方法を実施す
るためのひずみゲージ取付け状態を示す平面図、
第5図は第4図に示したひずみゲージによるひず
み出力のモデル図、第6図及び第7図は基準線図
のモデル図、第8図はひずみゲージの別のパター
ンを示す平面図である。 1,2……金属板(試験片)、3……電極圧痕、
4……ナゲツト(溶融部)、5……ひずみゲージ、
6……ゲージ端子、7……リード線。
Fig. 1 is a plan view of a single spot welded joint test piece, Fig. 2 is a cross-sectional view taken along the line A-A, Fig. 3 is an explanatory diagram of the conventional method, and Fig. 4 is a diagram for carrying out the method of the present invention. A plan view showing how the strain gauges are installed.
Figure 5 is a model diagram of the strain output by the strain gauge shown in Figure 4, Figures 6 and 7 are model diagrams of the reference line diagram, and Figure 8 is a plan view showing another pattern of the strain gauge. . 1, 2... Metal plate (test piece), 3... Electrode impression,
4... Nugget (molten part), 5... Strain gauge,
6... Gauge terminal, 7... Lead wire.

Claims (1)

【特許請求の範囲】 1 スポツト溶接部の電極圧痕表面に複数のひず
みゲージを等間隔をおいて放射状に配置して貼り
付け、前記ひずみゲージから得られる複数方向の
ひずみ出力を処理して、スポツト溶接継手の疲れ
寿命及び疲れき裂発生位置を予測する方法。 2 前記電極圧痕表面に貼り付けるひずみゲージ
が放射状パターンに形成され、ひずみゲージに多
数のゲージ端子が設けられている特許請求の範囲
第1項記載の疲れき裂寿命及び疲れき裂発生位置
を予測する方法。
[Claims] 1. A plurality of strain gauges are radially arranged and pasted at equal intervals on the electrode indentation surface of a spot weld, and strain outputs obtained from the strain gauges in multiple directions are processed to form a spot weld. A method for predicting the fatigue life and fatigue crack initiation location of welded joints. 2. Predicting fatigue crack life and fatigue crack occurrence position according to claim 1, wherein the strain gauge affixed to the surface of the electrode indentation is formed in a radial pattern, and the strain gauge is provided with a large number of gauge terminals. how to.
JP10222583A 1983-06-08 1983-06-08 Method for forecasting fatigue life and fatigue crack generating position of spot welded joint Granted JPS59226849A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP10222583A JPS59226849A (en) 1983-06-08 1983-06-08 Method for forecasting fatigue life and fatigue crack generating position of spot welded joint

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP10222583A JPS59226849A (en) 1983-06-08 1983-06-08 Method for forecasting fatigue life and fatigue crack generating position of spot welded joint

Publications (2)

Publication Number Publication Date
JPS59226849A JPS59226849A (en) 1984-12-20
JPS6310378B2 true JPS6310378B2 (en) 1988-03-07

Family

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Family Applications (1)

Application Number Title Priority Date Filing Date
JP10222583A Granted JPS59226849A (en) 1983-06-08 1983-06-08 Method for forecasting fatigue life and fatigue crack generating position of spot welded joint

Country Status (1)

Country Link
JP (1) JPS59226849A (en)

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8596135B2 (en) * 2006-12-07 2013-12-03 Technion Research and Dvelopment Foundation Ltd. System and method for monitoring health of structural joints
CN104880402B (en) * 2015-03-31 2017-09-05 江苏大学 A Test Method for Accelerated Lifetime Prediction of PoP Chips

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS54118288A (en) * 1978-03-03 1979-09-13 Mitsubishi Electric Corp Fatigue detecting device of rotary shaft

Also Published As

Publication number Publication date
JPS59226849A (en) 1984-12-20

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