杂交应力元增量分析非线性橡胶类材料
Incremental Analysis for Nonlinear Rubber-Like Materials by Hybrid Stress Finite Element
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摘要: 本文基于增量Reissner变分原理,对不可压缩的Mooney型橡胶类材料,进行了非线性的有限元分析,给出了杂交应力元的计算列式.列式中考虑了不平衡力和不可压缩性偏差的修正项.算例计算与精确解符合得很好.Abstract: In this paper, on the basis of the incremental Reissner variational principle.a nonlinear finite element analysis has been accomplished and a formulation of hybrid stress element has been presented for incompressible Mooney rubber-like materials. The corrected terms of the non-equilibrium force and the incompressibility deviation are considered in the formulation. The computed values of numerical example agree very closely with the exact solution.
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[1] Oden,J.T.,Finite Element of Nonlinear Continua,McGraw-Hill(1972). [2] Spilker,R.L.,Improved hybrid-stress axisymmetric elements including behaviour for nearly incompressible materials,Int.J.Num.Meth.Engng.,17(1981). [3] Scharnhorst,T,and T.H H Pian,Finite element analysis of rubber-like materials by a mixed model,Int.J.Num.Meth.Engng.,12(1978). [4] 范家齐,增量原理有限元分析非线性橡胶类材料,全国第二次计算力学会议,论文033号,上海(1988). [5] 卞学锽.《有限元法论文选》,防工业出版社(1980). -
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