Interaction between Periodic System of Rigid Inclusions and Rectilinear Cohesive Cracks in an Isotropic Medium under Transverse Shear

2014 Acta Polytechnica Hungarica  
We consider a plane problem of fracture mechanics for an isotropic medium with a periodic system of circular holes filled with absolutely rigid inclusions soldered along the contour and weakened by rectilinear cracks with interfacial bonds at the end zones collinear to the abscissa and ordinate axes of unequal length under transverse shear. The problem on equilibrium of isotropic composite medium with cohesive cracks is reduced to the solution of the system of nonlinear singular
more » ... lar integro-differential equations with Cauchy type kernel. The tangential forces at the end zones of the cracks are found from the solution of this system of equations. The crack propagation condition is stated with regard to ultimate stretching of the material bonds.
doi:10.12700/aph.11.05.2014.05.10 fatcat:lo7derk2ffbnfcy3m44kdvufcu