Estimate of the limit displacement wave amplitude in the dynamic problem on an out-of-plane crack


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Abstract

The paper presents several results of structural fracture macromechanics used to study the integrity of continuum under impulse loading conditions. The dynamic problem on a semi-infinite steady-state crack of longitudinal shear is considered. Exact analytical expressions for the stress tensor and displacement vector components on the crack line are obtained. The values of the threshold displacement amplitude on the wave front are determined for several structural materials.

About the authors

Yu. V. Petrov

Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences

Author for correspondence.
Email: yp@yp1004.spb.edu
Russian Federation, Bol’shoy pr. 61, St. Petersburg, 199178

V. I. Smirnov

Emperor Alexander I St. Petersburg State Transport University

Email: yp@yp1004.spb.edu
Russian Federation, Moskovskii pr. 9, St. Petersburg, 190031

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