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| Extra-dof-free generalized finite element method for non-linear analysis |
| Received:April 13, 2020 Revised:May 23, 2020 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20200413001 |
| KeyWord:generalized finite element method elastoplasticity large deformation nonlinearity extra degrees of freedom |
| Author | Institution |
| 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 |
| 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 |
| 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 |
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| Abstract: |
| In this paper,the extra-dof-free generalized finite element method (GFEM) is extended from linear elastic analysis to nonlinear elastoplastic large deformation analysis.The local enrichment functions rely on existing nodes without introducing extra degrees of freedom (dof) and hence the issue of linear dependence is removed.In the framework of the updated Lagrangian method,the rate form of the nodal internal force is obtained by the linearization of the weak form of the governing equation and it is divided into material and geometrical parts.Hyperelastic and hypo-elastoplastic material models are considered.The Newton-Raphson iteration is employed and the related consistent tangent stiffness matrix is provided.Three benchmark examples are analysed.Numerical results show that the developed nonlinear extra-dof-free GFEM is able to accurately solve hyperelastic and hypo-elastoplastic large deformation problems and it has higher accuracy than the traditional linear finite element method.This work broadens the range of the application fields of the extra-dof-free GFEM. |