Computational semi-analytic code for stress singularity analysis

Problems of stress singularities in single or multi-material corners have been addressed by many authors over the years. Most presented closed-form corner-eigenequations for special cases, and often there is no easy way to check if solution correct. In this work, we present a general computational tool that can solve different cases singularity problems under generalized plane strain. The semi-analytic code based on matrix formalism Mantič et al. (1997, 2014); Barroso (2003); Herrera-Garrido (2022) developed MATLAB. following boundary conditions are implemented: stress-free, fixed, some restricted allowed direction displacements (defined either reference frame aligned with cylindrical coordinate system an inclined frame), frictional sliding. interface condition between two consecutive materials perfectly bonded, frictionless analyze both open closed (periodic) corners, composed one multiple isotropic, transversely isotropic orthotropic (with any orientation) constitutive laws. has proven be reliable, very accurate, robust easy-to-use tool, which verified comparing results computed those obtained other authors. A summary corner solved presented. analysis further used prediction crack onset at tip Coupled Criterion Finite Fracture Mechanics FEM, see García Leguillon (2012) references therein.