Nearly Incompressible Elasto-Plastic Analysis of Extra-DOF-Free Generalized Finite Elements

MA Jinwei; DUAN Qinglin

doi:10.21656/1000-0887.440067

Volume 45 Issue 2

Feb. 2024

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MA Jinwei, DUAN Qinglin. Nearly Incompressible Elasto-Plastic Analysis of Extra-DOF-Free Generalized Finite Elements[J]. Applied Mathematics and Mechanics, 2024, 45(2): 220-226. doi: 10.21656/1000-0887.440067

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Nearly Incompressible Elasto-Plastic Analysis of Extra-DOF-Free Generalized Finite Elements

doi: 10.21656/1000-0887.440067

MA Jinwei^{1, 2
,},
DUAN Qinglin^{1, 2
,
,}

1.
State Key Laboratory of Structural Analysis, Optimization and CAE Software for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China
2.
DUT-BSU Joint Institute, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China

Received Date: 2023-03-15
Rev Recd Date: 2023-06-13
Publish Date: 2024-02-01

Abstract

Abstract

The volumetric locking of the conventional finite element method (FEM) was investigated through the nearly incompressible elasto-plastic analysis, and the extra-DOF-free reinforcement function was introduced in the framework of the generalized finite element method (GFEM) for improvement of this problem. Through the introduction of the reinforcement function, a richer approximation space was obtained for the interpolation function, of which the ability of correctly reflecting structural deformations was promoted under the approximate volumetric invariance constraint. Furthermore, the construction of the reinforcement function is independent of the extra degrees of freedom, which eliminates the linear dependency in the traditional GFEM. Different triggering conditions and manifestations of volumetric locking of the conventional FEM were found in linear elastic, hyperelastic, and plastic analyses. Three classical numerical examples show that, the extra-DOF-free GFEM can effectively alleviate the volumetric locking in all analyses, and obtain accurate and reasonable results.
- generalized finite element,
- extra degree of freedom,
- nearly incompressible,
- volumetric locking,
- elastoplasticity,
- hyperelasticity

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References(17)

References

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