Abstract
Based on the Hamiltonian governing equations of plane elasticity for sectorial domain, the variable separation and eigenfunction expansion techniques were employed to develop a novel analytical finite element for the fictitious crack model in fracture mechanics of concrete. The new analytical element can be implemented into FEM program systems to solve fictitious crack propagation problems for concrete cracked plates with arbitrary shapes and loads. Numerical results indicate that the method is more efficient and accurate than ordinary finite element method.
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Communicated by ZHONG Wan-xie
Foundation items: the Doctorial Foundation of Education Ministry of China (20010141024); the National Natural Science Foundtion of China (10372019)
Biographies: WANG Cheng-qiang (1975 ∼); ZHENG Chang-liang
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Cheng-qiang, W., Chang-liang, Z. Semi-analytical finite element method for fictitious crack model in fracture mechanics of concrete. Appl Math Mech 25, 1265–1270 (2004). https://doi.org/10.1007/BF02438282
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DOI: https://doi.org/10.1007/BF02438282