混凝土裂纹扩展过程模拟的扩展有限元法研究  

SIMULATION OF THE CONCRETE CRACK PROPAGATION PROCESS WITH THE EXTENDED FINITE ELEMENT METHOD

作　　者：张晓东[1] 丁勇[2] 任旭春[3] 

机构地区：[1]重庆交通科研设计院结构动力工程所,桥梁工程结构动力学国家重点实验室,重庆400067 [2]宁波大学土木工程系,浙江宁波315211 [3]爱荷华大学机械工程系

出　　处：《工程力学》2013年第7期14-21,27,共9页Engineering Mechanics

基　　金：重庆市自然科学基金项目(CSTC2010BB6019);近海冲击与安全工程浙江省重中之重学科开放基金项目(ZJ1109);浙江省自然科学基金项目(Y1110548)

摘　　要：扩展有限元法(the extended Finite Element Method,XFEM)为数值模拟结构裂纹扩展过程提供了一条有效途径。该文介绍了用扩展有限元法对混凝土结构裂纹扩展过程进行数值模拟的实现方法。采用虚拟裂缝模型模拟混凝土非线性断裂行为,针对二维四边形单元推导了详细的有限元列式。采用3种方案对非线性方程系统进行求解,分析了其求解思路并概括了其求解步骤。通过对带初始边缘裂纹的单向拉伸混凝土板的数值模拟,对3种求解方案的计算结果进行了分析和讨论。The extended finite element method （XFEM） provides an effective way for the numerical simulation of the crack propagation process of structures. The implementation method for the numerical simulation of the crack propagation process of concrete structures with the extended finite element method is introduced. The fictitious crack model is adopted to simulate the concrete nonlinear fracture behaviour. The detailed formulations of a two-dimensional quadrilateral element for the finite element analysis are derived. Three schemes are employed to solve the nonlinear system of equations and their implementation procedures are analyzed and summarized. The numerical simulation of an edge-cracked uniaxial tensile concrete plate is conducted and the corresponding results are analyzed.

关 键 词：扩展有限元法 裂纹扩展 虚拟裂缝模型 非线性断裂 数值模拟 

分 类 号：TV313[水利工程—水工结构工程]