On the nucleation of cracks near stress sources with weak singularities

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Abstract

Analytical expressions are obtained for the configuration force and the value of elastic energy relaxation at the nucleation of a microcrack in a small neighborhood of an arbitrary singular stress source. When analyzing the conditions of crack nucleation at sources with weak divergences of the stress fields, ideas about the instantaneous nucleation of a crack of finite length are used. Simultaneous fulfillment of stress and energy conditions is considered as a criterion for the nucleation of such a crack. Within the framework of these representations, in the configuration space of the system parameters (geometric characteristics and strength of mesodefects, the value of external stress), the regions in which crack nucleation is possible in the case of a combined mesodefect, which is a superposition of the dipole of wedge disclinations and planar shear mesodefect, are determined. It is shown that the nucleation of the crack is significantly facilitated by the instability of the shear mesodefect.

About the authors

S. V. Kirikov

The Federal research center Institute of Applied Physics of the Russian Academy of Sciences

Email: pupynin.as@gmail.com
Nizhny Novgorod, 603024 Russia

V. N. Perevezentsev

The Federal research center Institute of Applied Physics of the Russian Academy of Sciences; National Research Lobachevsky State University of Nizhny Novgorod

Email: pupynin.as@gmail.com
Nizhny Novgorod, 603024 Russia; Nizhny Novgorod, 603022 Russia

A. S. Pupynin

The Federal research center Institute of Applied Physics of the Russian Academy of Sciences

Author for correspondence.
Email: pupynin.as@gmail.com
Nizhny Novgorod, 603024 Russia

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