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Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (2): 145-152.

• 论文 • 上一篇    下一篇

THE APPLICATION OF COMPATIBLE STRESS ITERATIVE METHOD IN DYNAMIC FINITE ELEMENT ANALYSIS OF HIGH VELOCITY IMPACT

宋顺成   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai; Inner Mongolia Institute of Metallic Materials, Baotou
  • 收稿日期:1988-02-12 出版日期:1989-02-18 发布日期:1989-02-18

THE APPLICATION OF COMPATIBLE STRESS ITERATIVE METHOD IN DYNAMIC FINITE ELEMENT ANALYSIS OF HIGH VELOCITY IMPACT

Song Shun-cheng   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai; Inner Mongolia Institute of Metallic Materials, Baotou
  • Received:1988-02-12 Online:1989-02-18 Published:1989-02-18

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摘要： There is a common difficulty in elastic-plastic impact codes such as EPIC[2,3] NONSAP[4], etc.. Most of these codes use the simple linear functions usually taken from static problem to represent the displacement components. In such finite element formulation, the stress components are constant in each element and they are discontinuous in any two neighboring elements. Therefore, the bases of using the virtual work principle in such elements are unreliable. In this paper, we introduce a new method, namely, the compatible stress iterative method, to eliminate the above-said difficulty. The calculated examples show that the calculation using the new method in dynamic finite element analysis of high velocity impact is valid and stable, and the element stiffness can be somewhat reduced.

Abstract: There is a common difficulty in elastic-plastic impact codes such as EPIC[2,3] NONSAP[4], etc.. Most of these codes use the simple linear functions usually taken from static problem to represent the displacement components. In such finite element formulation, the stress components are constant in each element and they are discontinuous in any two neighboring elements. Therefore, the bases of using the virtual work principle in such elements are unreliable. In this paper, we introduce a new method, namely, the compatible stress iterative method, to eliminate the above-said difficulty. The calculated examples show that the calculation using the new method in dynamic finite element analysis of high velocity impact is valid and stable, and the element stiffness can be somewhat reduced.

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