基于扩展有限元方法的界面接触算法  

A CONTACT ALGORITHM BASED ON EXTENDED FINITE ELEMENT METHOD

作　　者：喻葭临[1] 于玉贞[1] 张丙印[1] 吕禾[1] 

机构地区：[1]清华大学水沙科学与水利水电工程国家重点实验室,北京100084

出　　处：《工程力学》2011年第4期13-17,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(50779024;50879039;50639060)

摘　　要：该文构建了适用于扩展有限元法(XFEM)的界面接触算法,该算法具备模拟界面上粘连、滑动和分离状态的能力。对平面摩擦问题的计算结果表明,该方法对于界面接触行为的描述能力与常规接触面单元十分接近。对平面应变压剪试样中剪切带问题的模拟分析表明,该算法合理地反映了摩擦接触的耗散机制,从而避免了零能耗散现象,能够较准确地描述平面应变压剪试样中的局部化变形现象。A contact algorithm based on an extended finite element method（XFEM） is established,which is able to simulate the adhesion,slide and separation of a contact interface.The results of an example for a plane frictional problem demonstrate that the performance on describing the contact behavior of this algorithm is almost identical to that of a conventional interface element.The results of an example on the shear band in a plane strain sample demonstrate that this algorithm can reflect the dissipation mechanism of a frictional contact reasonably and therefore avoid the phenomenon of zero energy dissipation and then be able to describe the strain localization in the plane strain sample.

关 键 词：接触算法 扩展有限元法 粘聚裂纹模型 Willner连续摩擦定律 剪切带 

分 类 号：O343.3[理学—固体力学]