2015-Sustainable Industrial Processing Summit
SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics
| Editors: | Kongoli F, Bordas S, Estrin Y |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2015 |
| Pages: | 300 pages |
| ISBN: | 978-1-987820-24-9 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
< CD shopping page
Elasto-Plastic Model of Quasi-Brittle Material Based on Gauge and Phase Transition Theories
Chengzhi Qi1;1BEIJING UNIVERSITY OF CIVIL ENGINEERING AND ARCHITECTURE, Beijing, China;
Type of Paper: Invited
Id Paper: 58
Topic: 1
Abstract:
In this paper the gauge and phase transition theories are used to construct the elasto-plastic model of quasi-brittle material with dissipation. Displacements, plastic distortion tensor are selected as the independent variables. The initial Lagrangian is constructed by the requirement of invariance of the Lagrangian with respect to translation transformation. In order to take into account the phase transition effect of plastic deformation fourth and sixth power terms of distortion tensor are added to the initial Lagrangian. The differential motion equations of the material are obtained by Euler-Lagrange equation with dissipation.The generalized HookĄ¯s laws are obtained on the basis of kinematic variational principle.Several special cese are discussed.