ELASTIC AND ELASTOPLASTIC ANALYSIS METHODS OF DISCONTINUOUS DEFORMATION FOR MULTI-BODY SYSTEM(I)-- FUNDAMENTALS
多体系统非连续变形的弹性及弹塑性分析方法(I)——基本原理

Discontinuous deformation is a fundamental character of multi-body system. For the general plane problem,divisional parameter principle of minimum potential energy is employed to establish the computational model for discontinuous deformation analysis of multi-body system in this paper. Mathematical formulations of global controlling equations of elastic and elastoplastic analysis of discontinuous deformation of multi-body system are presented and the numerical solution approach is developed. The mothod can not only perform both static and dynamic coupling analysis,but also conduct step-by-step simulation and prediction of deformations and stresses of multi-body system together with complex nonlinear process such as contact stress and relative movement along contact interfaces. The theoretical basis is established for numerical model of discontinuous deformation computational mechanics.