A crack on a border between linear elastic medium and physically nonlinear one with properties dependent on stress state / N. V. Gaganova. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 2. P. 34-40 [Moscow Univ. Math. Bulletin. Vol. 67, N 2, 2012.].
A crack on the interface between a linear elastic medium and a stress-state dependent physically nonlinear medium is studied. A numerical method is proposed for the solution of such problems. Asymptotic distributions of stresses, deformations and displacements are obtained near the crack tip under the assumption that stresses and displacements are continuous on the interface.
Key words: crack, interface, hardening material, stress-state dependent material, asymptotic solution, numerical method.