Shell Structure Analysis Based on the Convected Particle Domain Interpolation

WANG Changsheng; YU Chuanze; ZHANG Xiangkui

doi:10.21656/1000-0887.440286

Volume 45 Issue 9

Sep. 2024

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WANG Changsheng, YU Chuanze, ZHANG Xiangkui. Shell Structure Analysis Based on the Convected Particle Domain Interpolation[J]. Applied Mathematics and Mechanics, 2024, 45(9): 1147-1156. doi: 10.21656/1000-0887.440286

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Shell Structure Analysis Based on the Convected Particle Domain Interpolation

doi: 10.21656/1000-0887.440286

1.
School of Mechanical Engineering, Dalian University of Technology, Dalian, Liaoning 116023, P.R.China
2.
Ningbo Institute, Dalian University of Technology, Ningbo, Zhejiang 315016, P.R.China
3.
School of Control Science and Engineering, Dalian University of Technology, Dalian, Liaoning 116023, P.R.China

Received Date: 2023-09-20
Rev Recd Date: 2024-01-15
Publish Date: 2024-09-01

Abstract

Abstract

The material point method (MPM) adopts the dual description of Lagrangian particles and Euler grids, so it can deal with large deformation and contact problems conveniently. The large deformation problem of thin shell structures was analyzed based on the framework of the convected particle domain interpolation material point method (CPDIMPM). The quadrilateral mesh was used to discretize the shell structure. The basis function was calculated by the double mapping from the material point to the shell element node and then to the background grid node. The momentum equation was solved on the background grid, and the internal force of the material point was updated based on the Belytschko-Tsay (BT) shell element theory. In the numerical example, the comparison of large deformations of the shell structure with reference solutions verifies the accuracy of the proposed method.
- CPDIMPM,
- BT shell element,
- hyperelastic material,
- nonlinear large deformation

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References(25)

References

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