Numerical solution of a Dugdale-type crack problem for two cracks in series

• We provide a numerical solution of Dugdale-type crack problem for two cracks in series.
• We solve the problem with usage of the singular integral equation.
• The problem is reduced to simultaneous nonlinear equations with unknowns defined by lengths of cohesive zones.
• We provide numerical solution for cohesive zones and the crack tip opening displacements.

This paper provides a numerical solution of a Dugdale-type crack problem for two cracks in series. Two cracks in an infinite plate with remote tension are applied by the yield stress along the cohesive force zones. After using the principle of superposition, the original problem can be reduced to a uniform tension field and two particular problems. Both problems can be solved by using the singular integral equation method. Further, the problem is reduced to simultaneous nonlinear equations for lengths of cohesive force zones. Computed results for the cohesive force zones and the crack tip opening displacements are provided.