The Application of Compatible Stress Iterative Method in Dynamic Finite Element Analysis of High Velocity Impact

Song Shun-cheng

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(2): 137-143

Song Shun-cheng. The Application of Compatible Stress Iterative Method in Dynamic Finite Element Analysis of High Velocity Impact[J]. Applied Mathematics and Mechanics, 1989, 10(2): 137-143.

Citation:

Song Shun-cheng. The Application of Compatible Stress Iterative Method in Dynamic Finite Element Analysis of High Velocity Impact[J]. Applied Mathematics and Mechanics, 1989, 10(2): 137-143.

Citation:

Song Shun-cheng. The Application of Compatible Stress Iterative Method in Dynamic Finite Element Analysis of High Velocity Impact[J]. Applied Mathematics and Mechanics, 1989, 10(2): 137-143.

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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;
2.
Inner Mongolia Institute of Metallic Materials, Baotou

Received Date: 1988-02-12
Publish Date: 1989-02-15

Abstract

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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References(6)

References

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[2]	Johnson,G.R.,Analysis of elastic-plastic impact involving severe distortions,Journal of Applied Mechanics,Trans.ASME,43,3(1976),98.
[3]	Johnson,G.R.,High velocity impact calculations in three dimensions,Journal of Applied Mechanics,Trans.ASME.44. 1(1976),99.
[4]	Bath,K.J.and E.L.Nilson,NONSAP-A general finite element programme for nonlinear dynamic analysis of complex structure,Paper M3/1,Proc.2nd Int.Conf.Struct.Mech.Reactor Technology,Berlin(1973).
[5]	von Neumann,J.and R.D.Richtmyer,A method for the numerical calculation of hydrodynamics shocks,Journal of Applied Physics,21(1950).
[6]	Wilkins,M.L.,Calculation of elastic-plastic flow,Methods in Computational Physics,3. eds.,B.Alden,S.Fernbach and M.Rotenberg,Academic Press,New York(1964),211-263.