A Note on Nonbreaking Waves in Hyperelastic Materials

DOI10.1002/sapm1980632147zbMath0453.73029OpenAlexW2604212159MaRDI QIDQ3901070

Liviu Lustman

Publication date: 1980

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1980632147

zbMATH Keywords

evolution of waves on hyperelastic materialsinitial jump discontinuities in gradient of strain

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Waves in solid mechanics (74J99)

Related Items (1)

Exceptional waves in hyperelastic material under finite deformations

Cites Work

• Unnamed Item
• General and exact theory of waves in finite elastic strain
• Formation of shock waves in hyperelastic solids
• On the breakdown of a continuous multi-dimensional gasdynamic flow
• Wave propagation and breaking in multidimensional magnetogasdynamic flows
• The development of jump discontinuities in nonlinear hyperbolic systems of equations in two independent variables
• Formation of singularities in one-dimensional nonlinear wave propagation
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Plane elastic waves of finite amplitude. Hadamard materials and harmonic materials
• The Formation and Decay of Shock Waves

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