EXCEPTIONAL WAVES IN A CONSTRAINED ELASTIC BODY

DOI10.1093/qjmam/39.2.309zbMath0582.73031OpenAlexW2061347106MaRDI QIDQ3704987

Peter Chadwick, A. M. Whitworth

Publication date: 1986

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/39.2.309

zbMATH Keywords

elastodynamicsincompressibilitysmall amplitudetransversely isotropicinextensibilityhomogeneous plane wavestransverse waveabundanceexceptional waveenhancedhomogeneous plane elastic wavehomogeneous pre-strainleaves unchanged the traction acting on a family of parallel planesnon-heat-conducting elastic bodyprincipal waves in a pre-strained incompressible, isotropic elastic bodysingly- constrained bodysystem of internal constraintstransmitting bodyunstrained inextensible body

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Waves in solid mechanics (74J99) Theory of constitutive functions in solid mechanics (74A20)

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An asymptotic analysis of the dispersion relation of a prestressed incompressible elastic plate ⋮ Interfacial waves in an inextensible elastic composite ⋮ On small amplitude vibrations of pre-stressed laminates ⋮ On the existence of surface waves and the propagation of plate waves in pre-stressed fibre-reinforced composites ⋮ Aspects of energy propagation in highly anisotropic elastic solids ⋮ Harmonic wave propagation along a non-principal direction in a pre-stressed elastic plate

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