The Eigenspectrum Approach and T-stress at the Mixed-mode Crack Tip for a Stress-state-dependent Material☆

Abstract Asymptotic stress, strain, and displacement distributions in the vicinity of the mixed-mode crack for the stress-state sensitive elastic materials are considered and a nontrivial solution with the eigenvalue s = 1 in the displacement series is found explicitly. For this solution, a remote shear loading is demonstrated to lead to a volume change at the crack tip as a consequence of inherent interrelation between shear and volume deformation processes in the given materials.