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Mesoscale plastic flow instability in a solid under high-rate deformation


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Abstract

Here we consider high-rate deformation in solids in the context of a nonlocal transport theory, present a dynamic stress-strain diagram with elastic and plastic portions defined from a single standpoint, determine the conditions for pulse stress accumulation, and propose a mathematical model of momentum and energy exchange between scales and an instability criterion for transient plastic flow under shock loading. Phe instability criterion for high-rate deformation is verified by the example of shock loading of high-strength 30CrNi4Mo steel.

About the authors

T. A. Khantuleva

Saint Petersburg University

Author for correspondence.
Email: khan47@mail.ru
Russian Federation, St. Petersburg, 199034

Yu. I. Meshcheryakov

Institute of Problems of Mechanical Engineering

Email: khan47@mail.ru
Russian Federation, St. Petersburg, 199178

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