非连续变形计算力学模型的粘弹性分析方法Ⅰ:基本理论

基于粘弹性广义有限单元和接触力元，发展了适用于多体相互作用系统非连续变形分析的粘弹性数值分析方法，通过虚功原理，给出了其分区参变量最小势能原理，从而阐明了其理论基础。粘弹性广义有限单元的本构关系可由粘弹性退化为弹性或刚性，因此本文所提出的方法可对由刚体、弹性体和粘弹性体所构成的复杂多体系统在外荷载作用下的力学行为进行数值模拟，同时能够比本文精确地直接得到多体之间的接触应力。

Viscoelastic analysis method of discontinuous deformation computational mechanics modelⅠ:fundamental theory

Based on generalized finite element with viscoelatic behavior and contact-force element, developed in this paper is a method of viscoelastic numerical analysis of discontinuous deformation computational mechanics which is capable to simulate the discontinuous deformation behavior of multi-body interaction system. The divisional parametric principle of minimum potential energy is established by virtual work principle and then the theoretical basis of the method is illustrated. Because that constitutive relation of the viscoelastic generalized finite element may display different features including viscoelastic to elastic or rigid, numerical simulations of complex behavior of multi-body system composed of rigid bodies, elastic bodies and viscoelastic bodies subjected to external loading can be practiced by the proposed method. Relatively accurate estimations of contact stresses among bodies can be achieved directly.