Journal Tittle: Acta Mechanica Sinica
Article Tittle: A study on boundary integral equations for dynamic elastoplastic analysis for the plane problem by TD-BEM
Author: Hongjun Li, Weidong Lei, Rui Chen, Qiang Hu
Novelty/impact/significance
1. The equivalent stress fundamental solution for the elastoplastic dynamic plane strain problem is proposed.
2. The boundary integral equations for dynamic elastoplastic analysis for the plane strain problem are established.
Scientific question
The effects of the plastic strain at the third direction for the plane strain problem are analyzed.
Key of how
The virtual work of the third direction is considered by the equivalent stress fundamental solution. The time domain boundary integral equation for elastoplastic dynamics is obtained by replacing the stress fundamental solution with the equivalent stress fundamental solution.
Major points
1. Even for the plane strain problem, the plastic strain at the third direction might not be zero.
2. The stress at the third direction potentially produces the virtual work during the establishment of the boundary integral equations by Betti reciprocal theorem.
3. The virtual work of the third direction should be considered in the boundary integral equations.
Funding of the work
1. Science and Technology Research Project for Hebei University, No. QN2020135.
2. National Key R&D Program of China, No.s 2019YFC1511105 and 2019YFC1511104.
3. National Natural Science Foundation of China, No. 51778193.
Please go to the website to read this article: http://ams.cstam.org.cn/EN/abstract/abstract157361.shtml