Computer process for prescribing second-order tetrahedral elements during deformation simulation in the design analysis of structures

• US 6,697,770 B1
• Filed: 02/15/2000
• Issued: 02/24/2004
• Est. Priority Date: 06/05/1997
• Status: Expired due to Term

• Current Assignee: Dassault Systemes Americas Corp. (Dassault Systemes SA)
• Original Assignee: ABAQUS, Inc. (Dassault Systèmes Simulia Corp.)
• Inventors: Nagetgaal, Joop C.
• Primary Examiner(s): Jones, Hugh
• Assistant Examiner(s): THOMSON, WILLIAM D
• Application Number:
  US09/500,973
• Time in Patent Office: 1,470 Days
• Field of Search: 703/1, 703/2, 703/6, 703/7, 345/423
• US Class Current: 703/2
• CPC Class Codes: G06F 30/23 using finite element methods [FEM] or finite difference methods [FDM]

Abstract

A computer implemented process prescribes second-order tetrahedral elements during simulation in the design analysis of structure. The computer implemented process includes the steps of defining a finite element model for an element including at least one tetrahedral element, and defining the at least one tetrahedral element as a combination of hexahedral sub-elements. The computer implemented process also includes the steps of executing the simulation, and evaluating the structure for structural integrity responsive thereto.

Claims

1. A computer implemented process for prescribing second-order tetrahedral elements during simulation in the design analysis of structures by a user, comprising the steps of:

(a) defining, by the user, a finite element model for an element including at least one tetrahedral element;

(b) defining, by the user, at least ten nodes of the at least one tetrahedral element;

(c) defining, by the computer implemented process, the at least one tetrahedral element as a combination of four hexahedral sub-elements and defining at least four sub-element nodes of the four hexahedral sub-elements using the at least ten nodes defined by the user;

(d) executing the simulation using the combination of hexahedral sub-elements; and

(e) evaluating the structure with respect to said executing step (d) for structural integrity.

2. A computer implemented process according to claim 1, wherein said evaluating step (e) provides information usable to assist in a redesign of the structure with respect to structural integrity.

3. A computer implemented process according to claim 1, wherein said executing step (d) comprises the step of executing a deformation simulation.

4. A computer implemented process according to claim 1, wherein said executing step (d) comprises the step of executing the simulation resulting in substantially uniform contact forces and pressures experienced by the at least one tetrahedral element.

5. A computer implemented process according to claim 1, wherein said executing step (d) comprises the step of executing the simulation resulting in substantially minimal shear and volumetric locking.

6. A computer implemented process according to claim 1, wherein said executing step (d) comprises the step of executing the simulation resulting in the at least one tetrahedral element providing a substantially robust simulation during small or finite deformation.

7. A computer implemented process according to claim 1, wherein said defining step (a) comprises the step of defining the finite element model for the element including at least one tetrahedral element for three-dimensional analysis.

8. A computer implemented process according to claim 1, wherein said defining step (a) comprises the step of defining the finite element model for the element including at least one hybrid version of the at least one tetrahedral element for use with incompressible and substantially incompressible constitutive finite element models.

9. A computer implemented process according to claim 1, wherein said defining step (b) comprises the step of defining the at least one tetrahedral element as a combination of the hexahedral sub-elements, wherein the user specifies nodes of the tetrahedral element, and wherein said defining step (c) comprises the step of the computer implemented process generating nodes of the hexahedral sub-elements and a midbody node of the hexahedral sub-elements for the simulation.

10. A computer implemented process according to claim 9, wherein the computer implemented process generates the nodes of the hexahedral sub-elements as substantially midface nodes of the at least one tetrahedral element.

11. A computer implemented process according to claim 9, wherein the user specified nodes and the midbody node of the tetrahedral element are substantially unconstrained during the simulation to facilitate convergence.

12. A computer implemented process according to claim 9, wherein the midface nodes of the tetrahedral element are substantially constrained during the simulation to facilitate convergence.

13. A computer implemented process according to claim 9, wherein the midbody node of the tetrahedral element is substantially controlled using an hourglass control during the simulation to facilitate convergence.

14. A computer implemented process according to claim 1, wherein said executing step (d) comprises the step of executing the simulation including constructing a mass matrix to apply uniform nodal masses to the at least one tetrahedral element during the simulation.

15. A computer implemented process according to claim 9, wherein the computer implemented process condenses the degrees of freedom of the midbody node for the tetrahedral element to promote computational efficiency.

16. A computer readable tangible medium storing instructions for implementing a process driven by a computer, the instructions controlling the computer to perform the process of prescribing second-order tetrahedral elements during simulation in the design analysis of structures, said computer readable tangible medium storing the instructions controlling the computer to implement the following:

(a) defining a finite element model for an element including at least one tetrahedral element;

(b) defining the at least one tetrahedral element as a combination of hexahedral sub-elements by defining nodes including at least four corner nodes, a midbody node, four midface nodes and six midedge nodes of the tetrahedral element;

(c) executing the simulation and substantially constraining the midface node of the tetrahedral element during the simulation to facilitate convergence; and

(d) evaluating the structure with respect to said executing step (c) for structural integrity.

17. A computer readable tangible medium according to claim 16, wherein said defining step (b) comprises the step of defining the at least one tetrahedral element as the combination of the hexahedral sub-elements, wherein a user specifies the nodes of the tetrahedral element and the process generates the midface nodes and the midbody node of the tetrahedral element for the simulation.

18. A computer readable tangible medium according to claim 16, wherein the process generates the nodes of the hexahedral sub-elements using the corner nodes, the midedge nodes, substantially midface nodes, and substantially midbody nodes of the at least one tetrahedral element.

19. A computer readable tangible medium according to claim 16, wherein the corner, midedge and midbody nodes of the tetrahedral element are substantially unconstrained during the simulation to facilitate convergence.

20. A computer readable tangible medium according to claim 16, wherein the midface nodes of the tetrahedral element are substantially constrained during the simulation to facilitate convergence.

21. A computer readable tangible medium according to claim 16, wherein the midbody node of the tetrahedral element is substantially controlled using an hourglass control during the simulation to facilitate convergence.

22. A computer readable tangible medium according to claim 21, wherein the midbody node of the tetrahedral element that is substantially constrained using the hourglass control during the simulation to facilitate convergence is transparent to a user.

23. A computer readable tangible medium according to claim 16, wherein the midbody and midface nodes of the tetrahedral element defining the combination of the hexahedral sub-elements are transparent to a user.