Doubly-periodic array of cracks in an infinite isotropic medium

Research paper by N. I. Ioakimidis, P. S. Theocaris

Indexed on: 01 Apr '78Published on: 01 Apr '78Published in: Journal of Elasticity


The problem of a doubly-periodle array of curvilinear cracks in an infinite isotropic medium under conditions of generalized plane stress or plane strain is reduced, by using the method of complex potentials of Muskhelishvili [1], to a complex Cauchy-type singular integral equation on one of the cracks, which can be further numerically solved by reduction to a system of two real Cauchy-type singular integral equations and application of the Gauss or Lobatto-Chebyshev method of numerical solution of such equations.