Propagation of one-dimensional shock waves in an elastoviscoplastic medium under finite deformations

DOI10.1007/BF00887665zbMath0682.73020OpenAlexW2021555015MaRDI QIDQ4732173

N. D. Vervejko, I. Yu. Marinina

Publication date: 1987

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00887665

zbMATH Keywords

equations of motionLagrangian formulationray methodwave solutionsone-dimensional deformationquasilinear system of equationsequations for the compatibility of the velocity fields and deformation fieldsequations of plastic deformation

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Shocks and singularities for hyperbolic equations (35L67) Plastic materials, materials of stress-rate and internal-variable type (74C99) Impact in solid mechanics (74M20) Nonlinear constitutive equations for materials with memory (74D10) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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