Super-singular integral equation method for free-edged half-planar crack problems

Semiplanar;  cracks;  super-singular integral equation;  Stress intensity factor

The crack problem of the free side semiplane parallel to the interface was studied. According to the basic solution of elasticity of free-edge semiplanar elastomer, the super-singular integral equation system describing the problem is obtained by using the work exchange law, displacement-strain relationship, Hooke’s law and crack-shore stress boundary conditions, and the corresponding numerical method is established in the sense of finite partial integral through integral transformation. The example of the average distribution force on the crack surface shows that near the free edge, even if the normal force or tangential force is applied separately on the crack surface, the stress intensity factors of type I and II also exist at the same time and change drastically.