弹性接触颗粒状周期性结构材料力学分析的均匀化方法(Ⅰ)——局部RVE分析

HOMOGENIZATION METHOD FOR THE ANALYSIS OF ASSEMBLAGE OF ELASTIC CONTACT GRAINS PART ONE: LOCAL RVE ANALYSIS

研究工作目的是建立弹性接触颗粒状组成周期性结构材料力学分析的均匀化模型。首先对具有周期性构造的弹性接触颗粒材料力学的微观 (小尺度 )与宏观两级均匀化方法的研究现状进行了简要回顾 ,进而发展了问题局部 RVE分析的有限元求解技术 ,该方法考虑了弹性接触体的粘着界面特性 ,并基于参变量变分原理提出了问题求解的参数二次规划算法 。

This work attempts to find a new homogenization method for the analysis of assemblage of elastic contact bodies. A brief review of existing works for both micro or local analysis level and macro analysis level of the problem is given. The finite element method for the local RVE analysis is presented. An important feature of this work is the quasi static cohesive frictional contact analysis of RVE, i.e. the local composed of deformable elastic bodies, by means of the parametric quadratic programming principle and its corresponding algorithmic implementation. The work presented in this paper is a fundamental study for the homogenization analysis of the problem.