Methods for solving one-dimensional boundary value problems in a nonlinear elastic medium

DOI10.1007/BF01170395zbMath0872.73006MaRDI QIDQ1814917

Yury A. Rossikhin, Marina V. Shitikova

Publication date: 23 October 1997

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

elastic half-spacematched asymptotic expansionsray methodprestressed layerwaves of finite amplitude

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10)

Cites Work

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• The evolution laws of dilatational spherical and cylindrical weak nonlinear shock waves in elastic non-conductors
• On nonstationary vibrations of plates on an elastic foundation
• Note on wave propagation in linearly viscoelastic media
• One-dimensional problem of nonlinear elasticity theory with a structural shock wave
• Impact deformation of an incompressible elastic half-space
• One-dimensional shock waves in simple materials with memory

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