The evolution laws of dilatational spherical and cylindrical weak nonlinear shock waves in elastic non-conductors

DOI10.1007/BF01055751zbMath0691.73017OpenAlexW2026249794MaRDI QIDQ582961

Jianyong Qiao, Sumit K. Garg

Publication date: 1989

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01055751

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Shock waves and blast waves in fluid mechanics (76L05) Impact in solid mechanics (74M20) Perturbations in context of PDEs (35B20) Waves in solid mechanics (74J99) Geometric optics (78A05)

Related Items (5)

Acoustic black hole in a hyperelastic rod ⋮ Calculation of shocks using solutions of systems of ordinary differential equations ⋮ Methods for solving one-dimensional boundary value problems in a nonlinear elastic medium ⋮ The transition from acceleration wave to shock wave ⋮ Propagation of simple waves and shock waves in a rod of slowly varying cross-sectional area

Cites Work

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• Weak shock waves in non-heat conducting thermoelastic materials - variation of amplitude of the weak shocks
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• Acceleration waves in constrained elastic materials
• Weakly nonlinear high frequency waves
• THE EVOLUTION LAW OF ONE-DIMENSIONAL WEAK NONLINEAR SHOCK WAVES IN ELASTIC NON-CONDUCTORS
• Non-linear, High Frequency Sound Waves
• Lagrangian description of transport equations for shock waves in three- dimensional elastic solids

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