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| Consistent high order element-free Galerkin method for elastoplastic large deformation analysis |
| Received:June 07, 2018 Revised:August 15, 2018 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20180607003 |
| KeyWord:meshfree/element-free elastoplasticity large deformation numerical integration nonlinear |
| Author | Institution |
| 段庆林 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 庞志佳 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 马今伟 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 王冰冰 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| In this paper,the element-free Galerkin (EFG) method is employed to solve elastoplastic large deformation problems.By taking full advantage of the merit that the EFG method is convenient to construct high order approximation functions,second order moving least-squares approximation of the displacement is employed.In the framework of the updated Lagrangian method,through the linearization of the weak form of the governing equation,the expression of the rate of the internal force is established and it is divided into material part and geometrical part.Hughes-Winget algorithm is employed to update the stress.The consistent tangent stiffness matrix is established,which is required in the Newton-Raphson iteration.The Quadratically Consistent 3-point (QC3) integration scheme,which is recently developed for small deformation analysis,is employed to numerically evaluate the stiffness matrix.Numerical results demonstrate the validity and superiority of the developed method in solving elastoplastic large deformation problems. |
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