Basic theory of small-amplitude waves in a constrained elastic body

DOI10.1007/BF00250918zbMath0588.73042MaRDI QIDQ1073605

A. M. Whitworth, Piotr Borejko, Peter Chadwick

Publication date: 1985

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

zbMATH Keywords

acceleration wavesgroup velocityhomogeneous plane wavesslowness surfacearbitrary profileenergy relationssmall-amplitude motionsarbitrary homogeneous pre-strainelastic non-conductor of heatenergy changesgeneral system of internal constraintsindividual conservation equationslinearized dynamicspartitioning of energy flux and total energy into interaction and incremental componentsray velocitysmall- amplitude disturbances

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Wave scattering in solid mechanics (74J20)

Related Items (16)

Singly constrained elastic wave propagation and the limit of two constraints ⋮ Wave propagation in sheared rubber ⋮ Surface waves in a deformed isotropic hyperelastic material subject to an isotropic internal constraint ⋮ Stability in constrained temperature-rate-dependent thermoelasticity ⋮ Geometry of constraint manifolds and wave propagation in internally constrained elastic bodies ⋮ Connections between deformation-temperature and deformation-entropy constraints and near-constraints in thermoelasticity ⋮ Aspects of energy propagation in highly anisotropic elastic solids ⋮ A multi-constrained elastic wave problem ⋮ Wave propagation in exceptional directions in multi-constrained elastic solids ⋮ Energy flux and dissipation of inhomogeneous plane waves in hereditary viscoelasticity ⋮ Scattering on a square lattice from a crack with a damage zone ⋮ Plane waves in twinned crystals modelled as multi-constrained and nearly constrained elastic materials ⋮ Two-dimensional motion in a Bell-constrained plate ⋮ On formulas for the Rayleigh wave velocity in pre-strained elastic materials subject to an isotropic internal constraint ⋮ Energy and dissipation of inhomogeneous plane waves in thermoelasticity ⋮ Existence of longitudinal waves in anisotropic poroelastic solids

Cites Work

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• Acceleration waves in constrained elastic materials
• The propagation and growth of acceleration waves in heat-conducting elastic materials
• Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
• SIMPLE WAVES IN CONSTRAINED ELASTIC MATERIALS
• Steady State Problems in Anisotropic Elasticity
• SMALL VIBRATIONS OF A FIBRE-REINFORCED COMPOSITE

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