Numerical solutions for a branch crack in a half-plane

The branch crack subjected to a remote stress in a half-plane of elasticity is modeled using singular integral equations (SIE) based on the distributed dislocation and complex potential method.  Numerical solution to the obtained SIE is discovered using the appropriate quadrature formulas.  Numerical works exhibit the nature of stress intensity factors (SIF) for each branch.

Keywords:

singular integral equation , branch crack problem , complex potential method , stress intensity factors , half-plane elasticity