Variant of the description of the intense-deformed state of the planewith the semi-infinite flaw on the basis of the concept of the stratum of interaction at the normal separation
Abstract:
The flaw is considered as a physical slit, and a material lying on continuation of a slit, shapes an interaction stratum between its coast sides. The given approach, unlike the concept of a mathematical slit, allows to establish laws of change of voltages and strains in deadlock field. It gives the chance to specify the values of exterior loadings corresponding to transition of a stratum in a plastic state. On the bases of a postulate on the linear distribution law of a field of travels on a thickness of a stratum the system of the integro-differential equations concerning travels of its boundaries is gained. The variant of the numerical solution of a task in view is viewed, comparison of effects for a special case with the known asymptotic solution is given.
Key words:characteristic size, boundary integrated equation, linear elasticity.