منابع مشابه
Elastic Waves Induced by Surface Heating in a Half-Space
Rapid surface heating will induce waves in an elastic material. Closed form solutions for the resulting longitudinal and transverse thermal stresses are derived using Laplace Transforms. The model is one-dimensional, consisting of a half-space subjected to a step change in the surface heating. The transverse stress at the wave peak is found to exceed the surface stress for short times, while fo...
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This paper is concerned with the effect of pure shear on the reflection from a plane boundary of infinitesimal plane waves propagating in a half-space of incompressible isotropic elastic material. For a special class of constitutive laws it is shown that an incident plane harmonic wave propagating in the considered plane gives rise to a surface wave in addition to a reflected wave (with angle o...
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The propagation of magneto-thermoelastic disturbances in an elastic half-space caused by the application of a thermal shock on the stress-free bounding surface in contact with vacuum is investigated. The theory of thermoelasticity III proposed by Green and Naghdi is used to study the interaction between elastic, thermal, and magnetic fields. Small-time approximations of solutions for displaceme...
متن کاملAntiplane surface acoustic waves propagating in elastic half-space coated with an anisotropic laminate
Dispersion relation of antiplane surface acoustic waves (SAWs) propagating in elastic half-space coated with an anisotropic laminate was determined explicitly by means of Stroh’s formalism within the subsonic range, where there is no energy leakage into the substrate. During the procedure, the governing dynamic equation in each anisotropic layer and the displacement–traction continuity at inter...
متن کاملRayleigh Surface Waves In A Transversely Isotropic Microstretch Elastic Solid Half Space
The linear governing equations of a transversely isotropic microstretch elastic solid medium are formulated and solved for surface wave solutions. The appropriate solutions satisfying the radiation conditions are applied to the required boundary conditions at the free surface of the halfspace of the medium. A frequency equation is obtained for Rayleigh surface wave in the medium. The non-dimens...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1978
ISSN: 0022-0396
DOI: 10.1016/0022-0396(78)90050-5