Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 30, Number 1, September10 2008 , pages 119-129 DOI: https://doi.org/10.12989/sem.2008.30.1.119 |
|
|
|
The elastoplastic formulation of polygonal element method based on triangular finite meshes |
||
Yong-chang Cai, He-hua Zhu and Sheng-yong Guo
|
||
| Abstract | ||
|
A small strain and elastoplastic formulation of Polygonal Element Method (PEM) is developed for efficient analysis of elastoplastic solids. In this work, the polygonal elements are constructed based on traditional triangular finite meshes. The construction method of polygonal mesh can directly utilize the sophisticated triangularization algorithm and reduce the difficulty in generating polygonal elements. The Wachspress rational finite element basis function is used to construct the approximations of polygonal elements. The incremental variational form and a von Mises type model are used for non-linear elastoplastic analysis. Several small strain elastoplastic numerical examples are presented to verify the advantages and the accuracy of the numerical formulation. | ||
| Key Words | ||
| elastoplasticity; polygonal finite element method; Wachspress basis functions; meshless methods. | ||
| Address | ||
| Yong-chang Cai and He-hua Zhu: Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Department of Geotechnical Engineering, Tongji University, 200092, P.R. China Sheng-yong Guo: Ertan Hydropower Development Company, Ltd., 98 Shuanglin Road, Chengdu, 610021, P.R. China | ||