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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2009 Volume 2, Issue 3, Pages 336–351 (Mi jsfu81)

This article is cited in 3 papers

Viscoplastic Flows and Strain Localization in a Damageable Medium under Impact Loading

Vladimir A. Petushkov

A. A. Blagonravov Mechanical Engineering Institute RAS, Moscow, Russia

Abstract: On the basis of experimentally observable phenomena a generalized model of nonlinear interconnected deformation and fracture of damaged polycrystalline media at high-speed shock action was developed. The geometric nonlinearity caused by finite nonlinear deformations depending on the loading speed, the behavior of materials with a changeable microstructure, the anisotropic hardening and the Baushinger effect are considered. The corresponding nonlinear boundary value problems are stated and solved by means of efficient numerical methods. Nonlinear wave processes and localization of deformations in spatial bodies under the influence of explosion and high-speed collision with an obstacle are studied.

Keywords: nonlinearly deformed media, impact loading, damageability, strain localization, fracture, mathematical simulation.

UDC: 539.3+519.6

Received: 17.02.2009
Received in revised form: 20.05.2009
Accepted: 10.06.2009



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