Singular stress field near tip of V-notch with anti-symmetric deformation in orthotropic materials

In the general solutions of two-dimensional linear elasticity for orthotropic materials, the displacement and stress fields can be expressed in terms of two quasi-harmonic functions ψi(x, y)(i=1, 2). Adopting coordinate transformation, the quasi-harmonic functions are transformed into the corresponding harmonic functions. The related displacement and singular stress fields near the tip of a V-notch with antisymmetric defomation in orthotropic materials are obtained subsequently, and verified by comparing the numerical results with theoretical ones. It is found that the stress singularity depends on both V-notch angle and elastic constants.