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| A generalized finite element method without extra degrees of freedom for large deformation analysis of three-dimensional elastoplastic solids |
| Received:January 14, 2024 Revised:February 29, 2024 |
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| DOI：10.7511/jslx20240114001 |
| KeyWord:generalized finite element method extra degrees of freedom nonlinear analysis elastoplasticity large deformation |
| Author | Institution |
| 马今伟 |
中国工程物理研究院高性能数值模拟软件中心, 北京 ;北京应用物理与计算数学研究所, 北京 ;大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 白铭 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 段庆林 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 ;大连理工大学 大连理工大学白俄罗斯国立大学联合学院, 大连 |
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| Abstract: |
| The generalized finite element method(GFEM)without extra degrees of freedom eliminates the issues of the increased scale of a linear system and linear dependence,while preserving the standard high-order interpolation characteristics.This results in advantages such as high computational accuracy and good convergence compared with traditional finite element methods in elastic analysis of elasticity problems.Simultaneously,it demonstrates promising potential in the nonlinear analysis of planar problems.The extension and application of this method to large deformation analysis of three-dimensional elastoplastic solids allow for further exploration of its performance in nonlinear analysis and broaden the application of GFEM in the field of nonlinear problems.In the large deformation analysis of nonlinear elastic and elastoplastic materials,this method is compared with traditional finite element methods and commercial software.The computational results demonstrate superiority of this method in terms of accuracy. |