Critical States of a Damaged Non-linearly Deformed Medium During High-speed Collision with an Obstacle
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 47-60

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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, mathematical simulation.
Mots-clés : fracture
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V. A. Petushkov. Critical States of a Damaged Non-linearly Deformed Medium During High-speed Collision with an Obstacle. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 47-60. http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a5/