Energy relations for acceleration waves in elastic materials

DOI10.1016/0165-2125(80)90015-3zbMath0459.73018OpenAlexW1992535874MaRDI QIDQ1152236

Piotr Borejko, Peter Chadwick

Publication date: 1980

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(80)90015-3

zbMATH Keywords

acceleration wavesgroup velocitykineticacoustic tensorraysslowness surfaceenergy relationsconstrained elasticityequality of jumps in second material time-derivativesinequality stating energy propagation velocity larger than local speed of wave frontinternal energy densitiesray speed

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Waves in solid mechanics (74J99) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (2)

The influence of constraints on the properties of acceleration waves in isotropic thermoelastic media ⋮ Basic theory of small-amplitude waves in a constrained elastic body

Cites Work

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• On wave propagation in inextensible elastic bodies
• Beschleunigungswellen in anisotropen hyperelastischen Stoffen
• Acceleration waves in constrained elastic materials
• Energy propagation in a deformed elastic material
• Acceleration waves in simple elastic materials
• Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
• Steady State Problems in Anisotropic Elasticity
• A NOTE ON PLANE WAVES IN LINEAR CONSERVATIVE SYSTEMS
• ACCELERATION WAVES IN INCOMPRESSIBLE ELASTIC SOLIDS
• SMALL VIBRATIONS OF A FIBRE-REINFORCED COMPOSITE
• A note on group velocity

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