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Simulation of the Concrete Crack Propagation Process with the Extended Finite Element Method
Engineering Mechanics (2013)
  • Xiaodong Zhang, China Merchant Chongqing Communications Research and Design Institute
  • Yong Ding, Ningbo University
  • Xuchun Ren, Georgia Southern University
Abstract
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.

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。
Keywords
  • extended finite element method,
  • XFEM,
  • crack propogation,
  • fictitious crack model,
  • nonlinear fracture,
  • numerical simulation
Publication Date
July, 2013
DOI
10.6052/j.issn.1000-4750.2012.03.0206
Citation Information
Xiaodong Zhang, Yong Ding and Xuchun Ren. "Simulation of the Concrete Crack Propagation Process with the Extended Finite Element Method" Engineering Mechanics Vol. 30 Iss. 7 (2013) p. 14 - 27 ISSN: 1000-4750
Available at: http://works.bepress.com/xuchun_ren/21/