非连续变形计算力学模型中的接触力元  

Contact Force Element of Discontinuous Deformation Computational Mechanics Model

作　　者：黎勇[1] 冯夏庭[1] 栾茂田[2] 王泳嘉[1] 

机构地区：[1]东北大学资源与土木工程学院，辽宁沈阳110004 [2]大连理工大学土木系及海岸和近海工程国家重点实验室，辽宁大连116024

出　　处：《东北大学学报（自然科学版）》2002年第11期1112-1115,共4页Journal of Northeastern University(Natural Science)

基　　金：教育部优秀青年教师奖励计划资助项目;霍英东教育基金资助项目(71048);国家自然科学基金资助项目(10172022)

摘　　要：阐述了多体系统中物体间的相对距离、接触的类型及其接触方式的判断法则,建立了物体间接触的力学控制方程及接触的传递与转换的实现方法·基于广义有限单元的物理覆盖的接触,以Coulomb摩擦接触准则为基础建立了接触力元,当非连续界面上的应力状态不违背Coulomb摩擦接触准则时,两侧的广义有限单元接触在一起,具有连续性;当非连续界面上的应力状态违背Coulomb摩擦接触准则时,两侧的广义有限单元具有非连续性,将产生相互滑移或脱离,分别相当于切向流动和法向流动·它可将连续性与非连续性有机地统一起来,为非连续变形计算力学模型合理地处理多体间的接触提供了力学分析方法·?Relation distance and contact types and their identification criterion among bodies were set forth. Control equations of contact mechanics among the bodies and transfer of the contact styles were established. Contact force element was set up on the basis of contact of physical covers of generalized finite elements and Coulomb frictional contact law. It is shown that bilateral generalized finite elements come into sliding and denoting each other with discontinuity and they respectively correspond to tangential flow and normal flow of plasticity. Therefore, the presented contact force element may organically integrate together continuity and discontinuity, and provides mechanics analysis method for that discontinuous deformation computational mechanics model is appropriately used to deal with contact problem among multibodies.

关 键 词：非连续变形 计算力学 多体系统 接触力元 界面 摩擦接触 广义有限单元 

分 类 号：O313.7[理学—一般力学与力学基础] O343.3[理学—力学]