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| Efficient high order meshfree method for geometrically non-linear analysis |
| Received:March 05, 2020 Revised:May 22, 2020 |
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| DOI：10.7511/jslx20200305002 |
| KeyWord:meshfree geometrical non-linearity numerical integration element-free Galerkin method derivatives correction |
| Author | Institution |
| 陈嵩涛 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 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 |
| 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 |
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| Abstract: |
| An accurate and efficient treatment of geometrical non-linearity is crucial to the numerical analysis of a large deformation process such as material failure.In view of the merits of meshfree methods such as their convenience to construct high order approximation functions,this paper presents the high order meshfree method for geometrically nonlinear analysis.The configuration converged in the last loading step is employed as the reference configuration.The essential boundary condition in displacement is enforced by the penalty method.To improve the computational efficiency,the quadratically consistent 3-point (QC3) integration scheme which is originally developed for linear problems is extended to geometrically non-linear analysis where the change in configuration must be considered.As a consequence,the number of quadrature points required for domain integration is dramatically reduced.Numerical results show that the proposed high order meshfree method is able to deal with geometrically non-linear problems accurately and exhibits remarkable superiorities in computational efficiency,accuracy and smoothness of the resulting stress fields. |