Abstract
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 advantages of the XFEM for hydraulic fracturing analysis are displayed.
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Supported by the National Natural Science Foundation of China (Grant Nos. 50539030, 50609004) and the National Basic Research Program of China (“973” Program) (Grant No. 2007CB714104)
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Ren, Q., Dong, Y. & Yu, T. Numerical modeling of concrete hydraulic fracturing with extended finite element method. Sci. China Ser. E-Technol. Sci. 52, 559–565 (2009). https://doi.org/10.1007/s11431-009-0058-8
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DOI: https://doi.org/10.1007/s11431-009-0058-8