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| A second order cone complementarity approach for Drucker-Prager plasticity problems |
| Received:September 19, 2012 Revised:March 14, 2013 |
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| DOI：10.7511/jslx201403007 |
| KeyWord:elastoplasticity conic programming Drucker-Prager plasticity second order cone complementarity |
| Author | Institution |
| 李建宇 |
天津科技大学 机械工程学院, 天津 |
| 张洪武 |
大连理工大学 工业装备结构分析国家重点实验室 运载工程与力学学部, 大连 |
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| Abstract: |
| In this paper we present a new approach for solving Drucker-Prager elastoplastic problems as second order cone complementarity problems (SOCCPs).Firstly,the classical Drucker-Prager elastoplastic constitutive equations with associative or non-associative flow rules are equivalently reformulated as second order cone complementarity conditions.Secondly,by employing parametric variational principle and the finite element method,we obtain a standard SOCCP formulation for the Drucker-Prager plasticity analysis,which can be solved efficiently by a class of semismooth Newton algorithm developed in the field of mathematical programming.Numerical results of a classical plasticity benchmark problem confirm the effectiveness and robustness of the proposal approach. |