Semi-Analytical Finite Element Method for Bilinear Cohesive Crack Model in Mode I Crack Propagation
Based on the Hamiltonian theory and method of elasticity, a ring and a circular hyper-analytical-elements are constructed and formulated. The hyper-analytical-elements give a precise description of the displacement and stress fields in the vicinity of crack tip for the bilinear cohesive crack model. The new analytical element can be implemented into finite element method program systems to solve crack propagation problems for plane structures with arbitrary shapes and loads. Numerical results for typical problems show that the method is simple, efficient and accurate.
M.H. Aliabadi, Qingfen Li, Li Li and F.-G. Buchholz
C. Q. Wang et al., "Semi-Analytical Finite Element Method for Bilinear Cohesive Crack Model in Mode I Crack Propagation", Key Engineering Materials, Vols. 324-325, pp. 755-758, 2006