THE STRESS-STRAIN STATE IN NEAR CRACK TOP FOR NONHOLONOMIC PLASTICITY UNDER CONDITIONS OF PLANE STRESS

Nifagin V.A., Candidate of Physical and Mathematical Sciences, Head of the Department “Engineering Mathematics”, Belarusian National Technical University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.
Hundzina M.A., Teaching Assistant of the Department “Engineering Mathematics”, Belarusian National Technical University, Minsk, Republic of Belarus

The stress-strain state of elastic-plastic material in a neighborhood of the top of arbitrary oriented straight-line crack with determening relations of the flow theory with hardening under plane stress is investigated. Based on the variant of a method of asymptotic expansion taking into account nonholonomicity of the resolving equations and the singularity of fields of stresses and deformations, the problem is reduced to a recurrent sequence of two-point boundary problems, that are solved numerically-analytically. The analysis of stresses and deformations and local characteristics of damage in the area surrounding singular point has been done.

elastic-plastic body, crack of general form, stress-strain state, method of asymptotic expansions

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