C.K. Chao1, A. Wikarta2
CMES-Computer Modeling in Engineering & Sciences, Vol.93, No.3, pp. 167-186, 2013, DOI:10.3970/cmes.2013.093.167
Abstract In this paper a crack interacting with tri-material composite under a remote uniform tensile load is solved in plane elasticity. An edge dislocation distribution along the prospective site of the crack together with the principle of superposition is used to model a crack. The resulting singular integral equation with logarithmic singular kernels for a line crack is then established. The singular integral equation is solved numerically by modeling a crack in place of several segments. Linear interpolation formulae with undetermined coefficients are applied to approximate the dislocation distribution along the elements, except at vicinity of crack tip where the dislocation… More >