JP5967493B2 - Simulation device for plastic deformation object - Google Patents

Description

  The present invention relates to a simulation apparatus and method for generating a flow state diagram of an object that undergoes plastic deformation.

  Plastic processing is a processing method in which various shapes are formed by deformation using the plasticity of an object.

  Plastic working presupposes that external energy, such as heat or pressure, is applied to the object so that the stress state of the object properly reaches the yield criterion. In order to process an object to an initial design value by plastic processing, it is necessary to select an appropriate mold and to derive an accurate processing environment such as formulating energy required for processing.

  In order to derive such a processing environment, various dies can be provided, and an empirical method in which energy of various sizes is applied to an object in various directions can be used. However, according to such a method, since it is difficult to recycle the plastic processed object, there is a problem that waste of resources is severe. Furthermore, it takes a lot of time to derive an appropriate processing environment.

  Even if a processing environment in which an object can be plastically processed as designed is derived, it is difficult to grasp the flow state of an object plastically processed in the corresponding processing environment.

  Korean Published Patent Publication No. 2006-0066642 discloses a method for forming a cap-like member capable of installing a thick sheet surface on the inner periphery, but a method for confirming the flow state of an object by plastic working is disclosed. Not disclosed.

Korean Published Patent No. 2006-0066642

  An object of the present invention is to provide a simulation apparatus and method for generating a flow state diagram of an object to be plastically deformed.

  The technical problem to be solved by the present invention is not limited to the technical problem described above, and other technical problems not described above are clear to those having ordinary knowledge in the technical field to which the present invention belongs from the following description. Will understand.

  The simulation apparatus according to the present invention may include a setting unit that sets nodal points to the object to be simulated, and a tracking unit that tracks the node and generates a flow state diagram of the object. .

  The simulation apparatus of the present invention includes a tracking unit that extracts a selected node from a plurality of nodes set in an object, and generates a flow state diagram of the object using the selected node. A node is a node including a first coordinate from which a selection value can be derived among the plurality of nodes, and the flow state diagram can be generated by interpolation of the first coordinate.

  The simulation apparatus of the present invention extracts a plurality of selected nodes satisfying a selection condition from a plurality of nodes set for the object, and the object is represented by a virtual line or a virtual plane generated according to the selection condition. A tracking unit for generating a flow diagram of an object is included, and the tracking unit can reconstruct an analysis element network or a plastic flow line element network when necessary.

  The simulation apparatus according to the present invention includes a setting unit that sets a node in which initial coordinates are recorded as a fixed value and a current coordinate is recorded as an object to be simulated, and initial coordinates from which a selection value can be derived after deformation of the object. A tracking unit that extracts a selected node having the selected value from the object and generates a flow state diagram of the selected value using a current coordinate of the selected node. It can be generated by coordinate interpolation.

  The simulation apparatus according to the present invention includes a setting unit for setting a node on a simulation target, and an analysis element network or a plastic flow line element network in which the first coordinate which is coordinate information of the node at a first time point is included as a fixed value. And a tracking unit that generates a flow phase diagram using the component number, and the tracking unit includes an element number in an improvement operation that includes re-mashing of the analysis element network or the plastic flow line element network. Or local coordinate values can be utilized.

  The simulation apparatus of the present invention predicts initial coordinate values by back-tracking nodes obtained from the analysis results and recording only the current coordinates or nodes in the flow state diagram target element network, and present flow state diagrams. Can be generated.

  The simulation method of the present invention includes a step of setting a plurality of nodes on a simulation target, and including coordinate information of each node as a fixed value in an analysis element network or a plastic flow line element network, and using the fixed value Generating a flow diagram of the object.

  The simulation method of the present invention includes a step of setting a plurality of nodes in a simulation target, including coordinate information of each node as a fixed value in each node, analyzing each node when inputting a selection value, Extracting a selected node provided with coordinate information from which a selection value can be derived.

  According to the simulation apparatus and method of the present invention, a reliable flow state diagram can be easily obtained.

It is a block diagram which shows the simulation apparatus of this invention. It is the schematic which shows the flow state of a target object. It is the schematic which shows the flow state diagram produced | generated with the simulation apparatus of this invention. It is the schematic which shows the flow diagram produced | generated with the other simulation apparatus of this invention. It is the schematic which shows the information of the node set by the other simulation apparatus of this invention. It is the schematic which shows the 1st time when a 1st coordinate is produced | generated. It is the schematic which shows the node set by the other simulation apparatus of this invention. It is the schematic which shows the initial stage flow diagram set by the other simulation apparatus of this invention. It is the schematic which shows the flow state diagram produced | generated by the other simulation apparatus of this invention. It is the schematic which shows a flow state figure. It is the schematic which shows operation | movement of another simulation apparatus of this invention. It is a flowchart which shows the simulation method of this invention. It is explanatory drawing which shows the reconfiguration | reconstruction of the element network of this invention.

  Hereinafter, embodiments according to the present invention will be described in detail with reference to the accompanying drawings. In this process, the size and shape of the components shown in the drawings may be exaggerated for the sake of clarity and convenience. In addition, terms specifically defined in view of the configuration and operation of the present invention may vary depending on the intention or practice of the user or operator. Definitions for such terms should be made based on the content throughout this specification.

FIG. 1 is a block diagram illustrating a simulation apparatus according to the present invention, and FIG. 2 is a schematic diagram illustrating a flow state of an object 210.
The simulation apparatus illustrated in FIG. 1 may include at least one of a setting unit 110 and a tracking unit 130.

In order to prevent unnecessary resource waste, it is necessary to simulate the plastic processing state of the object 210. According to the simulation, it is possible to grasp the plastic processing state of the object 210 while freely changing various processing environments such as pressure.
Further, the flow state of the object 210 can be grasped in the simulation process.
When the stress state of the object 210 reaches the yield criterion, plastic deformation occurs in the material. The occurrence of such plastic deformation is called plastic flow. In the plastic theory, the direction of the plastic deformation vector can be defined by the flow law based on the plastic potential function.

  The direction of the plastic deformation vector is a very important factor in plastic processing because it determines product characteristics such as the durability of the plastically processed object 210. In other words, even if the same object 210 is plastically processed to produce a product having the same shape, if the direction of the plastic deformation vector is different, a difference in durability or the like is indicated.

  In FIG. 2, (a) discloses a cylindrical object 210, and (b) discloses a state in which the object 210 of (a) is pressurized. (C) discloses a cross-section showing a side portion of the object 210 in a pressurized state, and (d) discloses a flow diagram of (c).

  The flow state of the object 210 described herein can include the direction of the plastic deformation vector of the object 210. Therefore, the flow diagram (d) in which the direction of the plastic deformation vector is extended can indicate the flow state of the object 210.

  Understanding the flow state is generating a flow state diagram. The flow state diagram may include a flow diagram in which the flow state of the object 210 is displayed as a line, or a flow surface diagram in which the flow state of the object 210 is displayed in a plane.

  The tracking unit 130 can generate a flow state diagram. For example, the tracking unit 130 can generate a flow state diagram of the target object 210 by tracking nodes set in the target object 210 of the simulation. At this time, the node of the object 210 may be set by the setting unit 110.

  When nodes are set in the object 210, the object 210 as a continuum can be discretized into a limited number of elements having a specific size connected at each node.

  When the plastic deformation of the object 210 to be plastically processed in the set working environment is simulated by the deforming unit 150, the tracking unit 130 continuously monitors the position change of each node until the driving of the deforming unit 150 is completed. A flow state diagram can be generated by grasping each node at the time of completion of driving.

  FIG. 3 is a schematic diagram showing a flow state diagram generated by the simulation apparatus of the present invention.

  FIG. 3A shows a state in which five nodes i are set on the object 210 by the setting unit 110. FIG. 3B shows an object 210 that is plastically processed by the deformable portion 150. The deforming unit 150 simulates the pressure applied in the direction of the arrow in FIG. 3 to transform the object 210 in the (a) state into the object 210 in the (c) state.

  The tracking unit 130 tracks the five nodes i whose positions are changed by plastic working from the state shown in FIG. 3A to the state shown in FIG. 3C through FIG. Each node i can be displayed in the completed state. The node itself displayed as shown in FIG. 3C can be a flow state diagram. However, since it is inferior in readability, a flow diagram k can be formed by virtual lines connecting the nodes i as shown in FIG. The flow diagram k at this time is a flow state diagram of the object 210. The flow diagram k can show a state where the flow diagram j in FIG. 3A is deformed by plastic working. If the final result of the flow state diagram is the flow diagram k in FIG. 3D, it can be determined that the tracking unit 130 tracks the flow diagram j.

  The deformation unit 150 can simulate plastic processing of the object 210 using the nodes of the object 210 set by the setting unit 110. The simulation at this time is a calculation of the change of each node by a numerical analysis technique, and such calculation is repeatedly performed from the process (a) to (b) of FIG.

  On the other hand, the nodes used in the tracking unit 130 for obtaining a reliable flow state diagram may be provided separately from the nodes used in the deforming unit 150. That is, double nodes can be formed on one object 210. Among these, the node generated by the setting unit 110 can be a tracking target of the tracking unit 130. The deforming unit 150 can deform the object 210 using nodes that do not correspond to the tracking target of the tracking unit 130. The nodes used in the deforming unit 150 may be set by the setting unit 110 or may be set by the deforming unit 150 itself.

  Although the nodes are shown in a simplified manner in FIG. 3 for convenience of explanation, the setting unit 110 can set a very large number of nodes.

  The characteristics of the part where each node is set in the object 210 can be included as characteristic information in each node. When plastic working is performed, the characteristics of the corresponding part where the nodes are set are changed, and thus the characteristic information included in each node can be changed at any time during the simulation process. Further, in the process of deformation, a case where the initially set nodes are inappropriate may frequently occur. In this case, a new node for the object 210 can be set. Since the characteristic information change and the node resetting process are repeated in this way, the tracking unit 130 can continuously track other flow diagrams h other than the initially selected flow diagram j. Have difficulty.

  Therefore, when acquiring the flow diagram g after tracking the flow diagram j during the simulation by the deforming unit 150 and acquiring the flow diagram k, the flow diagram h in FIG. The process from FIG. 3A to FIG. 3D must be further performed with the tracking unit 130 set to track. According to this, it can take a lot of time to obtain various flow diagrams.

  In addition, due to a mathematical error that occurs in the process of repeatedly changing the characteristic information included in the nodes and resetting the nodes, the outline of the object 210 as shown in the flow diagram f of FIG. A flow diagram that deviates from the above may occur.

  As a countermeasure against this, characteristic information can be used.

  The node may include characteristic information of a part corresponding to the node in the object 210. The characteristic information may include coordinates of the corresponding node, elastic characteristics, plastic characteristics, temperature, and the like of the target object 210. Such characteristic information can be changed at any time during the simulation process of plastic working by the deformable portion 150.

  The setting unit 110 constituting another simulation apparatus of the present invention can include, as a fixed value, the first coordinate, which is the coordinate information of the corresponding node at the first time point, in the characteristic information of each node.

  FIG. 4 is a schematic diagram showing a flow diagram generated by another simulation apparatus of the present invention, FIG. 5 is a schematic diagram showing information of nodes set by another simulation apparatus of the present invention, and FIG. 6 is a first coordinate. It is the schematic which shows the 1st time when is produced | generated.

  The first coordinate may be an initial coordinate of the node. According to this, the first time point is before the driving of the deforming unit 150 or the driving start time point. Of course, the first time point may be one time point during the driving of the deformation unit 150.

On the other hand, each node may include a plurality of first coordinates. In this case, the first time points of the first coordinates may be different time points such as t _1a , t _1b , t _1c , t _1d , and t _1e shown in FIG. In the case of FIG. 6, since there are a total of five first time points, five first coordinates can be included in each node.

Since the flow state diagram generated by the tracking unit 130 at the second time point shows how the object 210 at the first time point before the second time point is deformed at the second time point, a plurality of first time points are set. For example, the flow state diagram from t _1a to the second time point, the flow state diagram from t _1b to the second time point, the flow state diagram from t _1c to the second time point, the flow from t _1d to the second time point A state diagram, a flow state diagram from t _1e to the second time point, etc. can be acquired.

  When a plurality of nodes are set for the object 210 by the setting unit 110 and each node includes the first coordinate as a fixed value, the tracking unit 130 is selected from the plurality of nodes at the second time point. A selected node including the first coordinate can be extracted. The tracking unit 130 may generate a flow state diagram by connecting the extracted selected nodes.

The selected node may be a node including a first coordinate that is matched with a selection value or a selection criterion among a plurality of nodes. The selection value or the selection criterion can be arbitrarily set. For example, if the selected value is (x ₂ , y ₁ ,?), The tracking unit 130 selects all the nodes included in the object 210 at the second time point t ₂ after the first time point t _{1 in} FIG. Can be analyzed. Here, “?” May mean an unknown value or all values.

  According to the above configuration, the tracking unit 130 does not need to track each node during the driving process of the deformation unit 150, in other words, in the plastic deformation process. That is, the tracking unit 130 may be driven while the object 210 is deformed and may be driven after the deformation of the object 210 is completed. From another point of view, it can be considered that the tracking unit 130 is driven at the second time after the first time. In addition, it is sufficient for the tracking unit 130 to analyze all the nodes included in the object 210 at the second time point and extract the selected nodes that match the selection value or the selection condition. In some cases, the tracking unit 130 may include a function of generating a virtual line or a virtual surface that connects the selected nodes.

Accordingly, the configuration of the tracking unit 130 can be simplified, and the load on the tracking unit 130 can be greatly reduced. Furthermore, an accurate flow diagram can be obtained.
In addition, by analyzing the nodes of the deformed object without re-driving the deformation part, various flow state diagrams that satisfy various selection values or selection conditions (see FIGS. 8 and 9) are obtained. can do.

  The object 210 at the second time point does not necessarily have to be deformed by the deforming unit 150, but for the purpose of the flow state diagram, the object 210 after being deformed by the deforming unit 150 is preferable.

  Hereinafter, the simulation apparatus of the present invention will be described with reference to drawings that are close to actuality.

  FIG. 7 is a schematic diagram showing nodes set by another simulation apparatus of the present invention. FIG. 8 is a schematic diagram showing an initial flow diagram set by another simulation of the present invention.

FIG. 7 shows an initial element network (hereinafter referred to as an analysis element network) for the purpose of plastic working process analysis. The setting unit 110 includes the initial coordinates (x _i , y _i , z _i− ) of the nodes in the nodes i constituting the analysis element network. When one of the x-coordinate, y-coordinate and z-coordinate values draws the same contour line, a contour line as shown in FIG. 8, that is, an initial plastic flow diagram (flow state diagram) is obtained. At this time, the initial plastic flow diagram may correspond to the selection value or the selection condition described above.

  When two coordinate values draw the same line, it becomes a plastic flow line (virtual line) in a three-dimensional space, and when a surface having the same coordinate value is drawn, that is, when a contour surface is drawn, a three-dimensional plastic flow surface (Virtual surface). Then, as shown in FIG. 9, a desired plastic flow diagram can be created by creating contour lines in any cross section. As a reference, a plastic flow diagram can be drawn on the basis of the r coordinate, the θ coordinate, and the z coordinate (x = r cos θ, y = rsin θ, z = z), and the number of contour lines can be freely changed. .

  In addition, the deformation process of a circle or curve centered on a point set on an initial plane or curved surface can be tracked in the same manner.

  The contour line can be used to include not only a straight line and a curve connecting line segments on a plane but also a closed curve such as a circle on a plane.

  Hereinafter, the contour line is used to include a three-dimensional contour line and a contour surface.

  On the other hand, in the above, it has been described that the node set by the setting unit 110 satisfies the selection value or the selection condition.

  FIG. 11 is a schematic view showing the operation of another simulation apparatus of the present invention.

  FIG. 11 discloses a state where the original object 210 of (a) is pressurized by the pressurizing means 10 and deformed as shown in (b). (C) of FIG. 11 shows a part of the nodes set in the original object 210, and (d) of FIG. 11 shows a state in which the positions of the nodes of (c) are changed by deformation. Pressurization by the pressurizing means 10 can be simulated by the deforming unit 150.

  For example, it is assumed that it is desired to know how the target nodes x1, x2, and x3 of the original object 210 are deformed in a state where the simulation by the deforming unit 150 is performed. Hereinafter, for convenience of explanation, the x-axis coordinate will be mainly described.

  According to the tracking unit 130 of the present invention, as shown in FIG. 11B, by analyzing the nodes of the target object 210 for which the simulation for the target object 210 has been completed, the deformation of x1, x2, and x3, that is, the flow state diagram. Can be earned.

  Assume that the x-axis coordinates of x1, x2, and x3 have the same value 65 in the state of FIG.

  Since the first coordinates included in each node are values given before the deformation of the object 210, the tracking unit 130 analyzes the first coordinates of the nodes set in the object 210, and the x of the first coordinates. A node whose axis coordinate is 65 can be searched. As a result of the search, when a node whose x-axis coordinate of the first coordinate is 65 is searched, the flow state diagram can be generated as described above using the corresponding node as the selected node.

  However, as a result of the search, there may be a case where the node whose x-axis coordinate of the first coordinate is 65 is not searched.

  In this case, the tracking unit 130 can extract, as the selected nodes, the nodes provided with the first coordinates from which the target nodes x1, x2, and x3 at the first time point can be derived among the plurality of nodes.

  For example, in FIG. 11, when the user selects target nodes x1, x2, and x3 as selection values or selection conditions, and there is no node that satisfies the target node in the object 210, the tracking unit 130 derives the target node. Nodes P1, P2, P3, and P4 that can be extracted can be extracted as selected nodes.

  There are various methods for deriving the target node using the selected node at this time.

  As an example, it is assumed that the coordinates of the selected nodes P1, P2, P3, and P4 are as shown in Table 1 below. The coordinates of P1-state (a) -2nd are described as 60 and 30, but 30 is a y-axis coordinate. For convenience of explanation, the y-axis coordinate is excluded and described.

state (a) is a state before the transformation to the state of FIG. At this time, the first coordinate and the second coordinate of each selected node may be the same.

  state (b) is a state after being transformed into the state of FIG. At this time, since the second coordinate of each selected node corresponds to the current coordinate, its value changes. However, since the first coordinate is a fixed value, it maintains the same value as state (a).

  In this state, the tracking unit 130 can generate a flow state diagram using only the first coordinate and the second coordinate of state (b).

  The target nodes x1, x2, and x3 selected by the user as selection values are set for the target object before deformation. Therefore, the target nodes x1, x2, and x3 should be derived using the coordinates before deformation, but the first coordinates of the nodes of state (b) can be used as the coordinates before deformation.

  The tracking unit 130 can extract two nodes P1 and P4 whose first coordinates are located on a virtual straight line L1 crossing the target node x1 as selected nodes. Also, two nodes whose first coordinates are located on a virtual straight line L2 crossing the target node x2 can be extracted as selected nodes. At this time, any one of the two nodes may be any one of P1 and P4. Therefore, P1 and P3 can be extracted as selected nodes for the target node x2. In addition, two nodes P2 and P3 whose first coordinates are located on a virtual straight line L3 crossing the target node x3 can be extracted as selected nodes.

  As a result, the tracking unit 130 can extract the selected nodes P1, P2, P3, and P4 for derivation of the target nodes x1, x2, and x3.

Thereafter, the tracking unit 130 can acquire the target nodes x1, x2, and x3 whose positions have changed at the second time point using the second coordinates of the selected nodes P1, P2, P3, and P4.
Since the second time point is the time point when the deformation is completed, the coordinates of the target nodes x1, x2, and x3 after the deformation of the object 210 can be obtained from the second coordinates of the node of state (b).
For example, when the change amount of the x1 coordinate is set to w in the transformation from state (a) to state (b), the x1 coordinate of state (b) adds the change amount w to the x1 coordinate of state (a). Can be obtained.

  The change amount w can be calculated from the second coordinates of each selected node and the previously calculated 0.25, 0.5, and 0.75. Table 2 shows the coordinates of the target node of state (b) calculated in this way.

  The tracking unit 130 can generate a flow diagram by connecting the target nodes x1, x2, and x3 of state (b) derived in this way with lines.

  To summarize the example of FIG. 11, the selected nodes used for generating the flow diagram in the simulation apparatus of the present invention can include first coordinates from which a selection value can be derived. At this time, the simulation apparatus can form a flow state diagram with a virtual line or a virtual plane connecting the selection values.

FIG. 12 is a flowchart showing the simulation method of the present invention.
First, a plurality of nodes are set in the simulation object 210, and the coordinate information of each node is included in each node as a fixed value (S510). By the operation performed by the setting unit 110, the setting unit 110 can set the node used by the tracking unit 130 separately from the node used by the deformation unit 150. At this time, the node set by the setting unit 110 may include the coordinate information of the node at the first time point as a fixed value.

  When inputting a selection value or a selection condition, each node can be analyzed to extract a selection node having coordinate information matched with the selection value or the selection condition (S520). As in the embodiment of FIG. 11, a node provided with coordinate information capable of deriving a selection value or a selection condition can be extracted as a selection node. Through the operation performed by the tracking unit 130, a flow state diagram can be generated using the selected nodes.

  As an example, a plastic flow diagram or a plastic flow diagram can be generated using a virtual line or a virtual plane connecting selected nodes or selected values (S530).

  When the initial values of the initial coordinates of the nodes are maintained as they are, each coordinate is treated as a state variable such as the effective deformation rate and applied to numerical analysis, so plastic flow regardless of element network reconstruction (resetting the nodes) It is possible to trace the diagram. Of course, since the initial coordinates of the nodes are constant, it is not necessary to change and calculate the initial coordinates of the nodes in the analysis step in which the element network is not reconstructed.

  However, in the analysis step in which the element network is reconstructed, mapping of the initial coordinate of the node to the new node is required. Since this operation is the same as the mapping of the state variables such as the effective deformation rate, the calculation time can be ignored, which is advantageous from the viewpoint of calculation efficiency. The user does not need to perform a separate input operation, and finally the plastic flow diagram can be freely viewed in an arbitrary plane, so that the convenience and generality of the user are also guaranteed. In addition, it is not necessary to input complicated related information in the 2D / 3D linkage analysis.

  The above-described technique can be used independently for each of an analysis element network or an element network for plastic flow line tracking (hereinafter, a plastic flow line element network). That is, the flow state diagram generation technique by interpolation may be calculated with an analysis element network or a plastic flow line element network.

  On the other hand, when the analysis element network and the plastic flow line element network are used simultaneously, the analysis element network and the plastic flow line element network are used separately (that is, two element networks are used). Can have complementary functions. In the analysis process, the simulation apparatus can store both the initial coordinates at the nodes of the analysis element network and the initial position coordinates at the plastic flow line element network. The tracking unit 130 stores the initial coordinates of the analysis element network or the initial position coordinates of the plastic flow line element network.

  The analysis element network or the plastic flow line element network can be improved for each analysis step or whenever necessary. The initial position coordinates for the analysis element network can be obtained from the latest plastic flow line element network and stored only when the analysis result is stored. On the contrary, the initial position coordinates for the plastic flow line element network may be obtained from the analysis element network and stored.

Improved work comprising reconstituted analysis component networks or plastic flow line element network (re-m e sh) can greatly reduce the computational load by utilizing the element number or local coordinates. That is, in order to minimize the calculation time, the analysis element network or the plastic flow line element network can be traced immediately before storing or outputting the analysis result and before and after reconfiguration of the element network.

  If the quality of the analysis element network or plastic flow line element network falls below a certain level during tracking, reconfiguration of the analysis element network or plastic flow line element network may be required. In this case, the analysis element network or the plastic flow line element network is reconstructed, but the initial node coordinate values in the new element network can be calculated from the information of the old element network.

  Specifically, a new node that is different from the old element network can be set in the current analysis element network or plastic flow line element network newly created by reconfiguration of the element network. At this time, the initial coordinate value of the newly set current node may not be known.

  FIG. 13 is a conceptual diagram for explaining the setting of the initial coordinate values of the reconfigured element network.

  Hereinafter, for convenience of explanation, the element network includes at least one of an analysis element network and a plastic flow line element network.

  The element network can be reconfigured with nodes 1, 2, 3, and 4 defined in the old element network (old). Thus, new nodes 5, 6, 7, and 8 can be defined in the current element network (new). However, in the case of nodes 1, 2, 3, and 4, the initial coordinate values are given. On the other hand, new nodes 5, 6, 7, and 8 are given initial coordinate values at the time of old. It may be in a state that is not.

  In order to obtain the initial coordinate values defined by the nodes 5, 6, 7, and 8 of the current element network (new), the tracking unit determines what number of the old element network (old) the corresponding nodes 5, 6, 7, and 8 are. It can be grasped whether it belongs to the element of. That is, the element number can be grasped.

  As an example, the tracking unit can grasp that the node 5 is mapped to a square element including the nodes 1, 2, 3, and 4 by mapping the node 5 to the old element network (old). At this time, the element number regarding which element belongs to the rectangular element formed by 1, 2, 3, 4 may be given by the setting unit or the tracking unit. According to this, as an example, the node 5 can be defined as belonging to the first element corresponding to the element number 1.

  Thus, after grasping that the current corresponding node 5 corresponds to the first element, the coordinates of the node 5 in the old element network state, that is, the initial coordinates of the node 5 can be grasped using the local coordinates. . The local coordinates can mean the position coordinates of the corresponding node calculated in the coordinate system defined in the corresponding element number.

As an example, referring to FIG. 13, a local position separated by x1 in the x-axis direction and y1 in the y-axis direction with respect to the node 3 as the first element can be defined as the initial position of the node 5.
If the initial coordinate of the node 3 is (x3, y3), the initial coordinate of the node 5 is (x3 + x1, y3 + y1).

  In short, the tracking unit may calculate the element number regarding which element corresponds to the element number and the local coordinate at that element, and interpolate the initial coordinate value already given to the node of node 5. it can.

  On the other hand, numerical smoothing may occur when the element network is reconfigured. In order to solve such a problem, the following method can be additionally used while using the basic approach method described above as it is.

  That is, since numerical smoothing of initial coordinate values may occur and the accuracy of the result may be greatly impaired, an element density is given in consideration of the curvature of a plastic flow diagram (forge flow line). be able to.

  Unlike the method of tracking the initial coordinate value in the forward direction described above, the initial coordinate value of the node obtained from the analysis result and recorded only in the current coordinate or the node in the flow diagram target element network is back-tracked to perform the initial tracking. Coordinate values can be predicted and the current flow diagram can be generated in the same way.

  In the reverse direction, the initial position can be given to the node of the predicted analysis element network or plastic flow line element network after the end of the analysis.

  Finally, the plastic flow line can be visualized in various ways using the initial node value information stored at the nodes of the analysis element network.

  FIG. 10 is a schematic diagram showing a flow state diagram.

  As shown in the figure, the plastic flow diagram can be visualized on the entire surface, and the plastic flow diagram can also be traced in the cross section. By this method, problems such as inaccuracy, inefficient calculation time, lack of generality, and the like that existing methods have can be solved at the same time. In the existing node tracking technique and the like, there are cases where the contour line is located outside the material region, but the new technique does not have such a defective element at all.

  While the embodiments of the present invention have been described above, this is merely exemplary. Those having ordinary skill in the art will appreciate that various modifications and equivalent ranges can be made from these examples. Therefore, the true technical protection scope of the present invention should be determined by the claims.

110 Setting unit 130 Tracking unit 150 Deformation unit 210 Object

Claims (3)

A setting unit for setting a node corresponding to a boundary of each element of an element network including an analysis element network or a plastic flow line element network as an object to be simulated; and a tracking unit for generating a flow state diagram of the object by tracking the node ; the a simulation apparatus including plastic deformation object,
The node includes characteristic information of a part corresponding to the node in the object, and the characteristic information includes a first coordinate which is coordinate information of the node at a first time point as a fixed value,
Each element of the element network is given an element number,
When the tracking unit reconstructs the element network and generates a new element network, the tracking value of the node of the new element network belongs to the first time point, and the node of the new element network belongs to the first time point. Interpolating using the element number of the element network element and the local coordinate value of the node of the new element network within the element network element belonging at the first time point, and calculating the node number of the new element network A simulation apparatus, wherein the flow state diagram is generated using the coordinate value at the first time point and the coordinate value at the current time point . The node includes a second coordinate which is coordinate information of the node at a second time point,
The simulation apparatus according to claim 1, wherein the second time point is a current time point. A plurality of the nodes are set;
The tracking unit extracts a selected node including a first coordinate selected from the plurality of nodes at a second time point, and generates the flow state diagram by connecting the selected nodes. The simulation apparatus according to claim 1.