A general analysis of transonic states in an anisotropic elastic body

DOI10.1098/rspa.1985.0095zbMath0583.73028OpenAlexW2020926507MaRDI QIDQ3706573

Peter Chadwick

Publication date: 1985

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1985.0095

zbMATH Keywords

limiting wavepoint of contactNecessary and sufficient conditions for the existence4 combinations of exceptional transonic states can occurat most 2 transonic states can be exceptionalbasic characteristicshomogeneous plane wavematerials with hexagonal symmetrypositive definite linear elasticity tensorsets of parallel tangents to a centred section of the slowness surfacetransonic states

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Surface waves in solid mechanics (74J15)

Related Items (12)

Zero curvature transonic states and free surface waves in anisotropic elastic media ⋮ Elastic waves in anisotropic plates: short-wavelength asymptotics of the dispersion branches \(v_n(k)\) ⋮ Super high-velocity leaky waves guided by a layer inserted into piezoelectric crystals ⋮ Explicit conditions for the existence of exceptional body waves and subsonic surface waves in anisotropic elastic solids ⋮ Existence of anti-plane shear surface waves in anisotropic elastic half-space with depth-dependent material properties ⋮ Surface Waves, Limiting Waves and Exceptional Waves: David Barnett's Role in the Development of the Theory ⋮ Conditions admitting the existence of type 3 transonic states in stable anisotropic linear elastic media ⋮ Dynamics of multilayers: elastic waves in an anisotropic graded or stratified plate ⋮ Simple reflection and leaky waves in the vicinity of a line of exceptional bulk waves. ⋮ On the theory of plane inhomogeneous waves in anisotropic elastic media. ⋮ Wave propagation in an incompressible transversely isotropic fibre-reinforced elastic media ⋮ The elastic wave resonance reflection from a thin solid layer in a crystal

This page was built for publication: A general analysis of transonic states in an anisotropic elastic body