Mechanics of Solids

Critical States of a Damaged Non-linearly Deformed Medium During High-speed Collision with an Obstacle

V. A. Petushkov

A. A. Blagonravov Mechanical Engineering Institute RAS. Laboratory of Mathematical Simulation

Abstract: Generalized model of the nonlinear interconnected deformation and fracture of a damaged polycrystalline media is presented at high-speed shock influence conditions. Geometrical non-linearity caused by finite non-linear deformations depending on speed, behavior of materials with variable micro structure, anisotropic hardening and Baushinger-effect are considered. Particular attention is paid to problems of damage localization, progression and final fracture of non-linearity deformed bodies. Justification of the proposed model is implemented and nonlinear wave processes in a thin-walled shell are studied at high-speed collision condition with an obstacle.

Keywords: nonlinear deformable medium, damaging, shells, shock loading, fracture, mathematical simulation.

UDC: 539.374

MSC: 74K25, 74S20, 37M05

Original article submitted 02/I/2009
revision submitted – 16/II/2009

DOI: 10.14498/vsgtu659

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