The extended finite element method (XFEM) is a new numerical method for modeling discontinuity. Research about numerical modeling for concrete hydraulic fracturing by XFEM is explored. By building the virtual work pri...The extended finite element method (XFEM) is a new numerical method for modeling discontinuity. Research about numerical modeling for concrete hydraulic fracturing by XFEM is explored. By building the virtual work principle of the fracture problem considering water pressure on the crack surface, the governing equations of XFEM for hydraulic fracture modeling are derived. Implementation of the XFEM for hydraulic fracturing is presented. Finally, the method is verified by two examples and the advan- tages of the XFEM for hydraulic fracturing analysis are displayed.展开更多
裂纹的扩展是典型的材料不连续问题,传统的有限元方法难以实现裂纹扩展过程的仿真模拟。为了解决传统有限元在模拟裂纹扩展的不足,XFEM方法(extended Finite Element Method,XFEM)引入水平集函数描述裂纹形态,实现了裂纹在单元内部的扩...裂纹的扩展是典型的材料不连续问题,传统的有限元方法难以实现裂纹扩展过程的仿真模拟。为了解决传统有限元在模拟裂纹扩展的不足,XFEM方法(extended Finite Element Method,XFEM)引入水平集函数描述裂纹形态,实现了裂纹在单元内部的扩展,克服了传统方法只能依赖单元生死来模拟裂纹扩展的难题。以Abaqus为平台,应用Python脚本语言开发了一套裂纹自动扩展程序包,利用Abaqus固有的方法编写程序,通过扩展有限元功能实现裂纹的自动扩展,通过模拟I型边裂纹和三点弯梁的裂纹的扩展过程,验证了XFEM方法的有效性。同时,模拟了多裂纹的扩展过程。结果表明:方法不仅能够利用Abaqus软件的实现复杂的加载和边界模拟,同时又能体现XFEM在裂纹扩展模拟上的优势,为解决实际复杂问题提供了途径。展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos. 50539030, 50609004)the National Basic Research Program of China ("973" Program) (Grant No. 2007CB714104)
文摘The extended finite element method (XFEM) is a new numerical method for modeling discontinuity. Research about numerical modeling for concrete hydraulic fracturing by XFEM is explored. By building the virtual work principle of the fracture problem considering water pressure on the crack surface, the governing equations of XFEM for hydraulic fracture modeling are derived. Implementation of the XFEM for hydraulic fracturing is presented. Finally, the method is verified by two examples and the advan- tages of the XFEM for hydraulic fracturing analysis are displayed.
文摘裂纹的扩展是典型的材料不连续问题,传统的有限元方法难以实现裂纹扩展过程的仿真模拟。为了解决传统有限元在模拟裂纹扩展的不足,XFEM方法(extended Finite Element Method,XFEM)引入水平集函数描述裂纹形态,实现了裂纹在单元内部的扩展,克服了传统方法只能依赖单元生死来模拟裂纹扩展的难题。以Abaqus为平台,应用Python脚本语言开发了一套裂纹自动扩展程序包,利用Abaqus固有的方法编写程序,通过扩展有限元功能实现裂纹的自动扩展,通过模拟I型边裂纹和三点弯梁的裂纹的扩展过程,验证了XFEM方法的有效性。同时,模拟了多裂纹的扩展过程。结果表明:方法不仅能够利用Abaqus软件的实现复杂的加载和边界模拟,同时又能体现XFEM在裂纹扩展模拟上的优势,为解决实际复杂问题提供了途径。
