Journal ArticleDOI
Intrinsically characterized acceleration waves in heat-conducting elastic materials
P. Chadwick,P. K. Currie +1 more
- Vol. 76, Iss: 2, pp 481-491
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The article was published on 1974-09-01. It has received 7 citations till now. The article focuses on the topics: Acoustic emission & Acceleration.read more
Citations
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Basic properties of plane harmonic waves in a prestressed heat-conducting elastic material
TL;DR: In this paper, the authors considered the propagation of plane harmonic waves of small amplitude in a heat-conducting elastic body of unrestricted symmetry that is not stress free in its undisturbed state, and derived a derivation of the secular equation in a form that makes transparent the association of low and high frequency behavior with isentropic and isothermal conditions.
Journal ArticleDOI
Degeneracies in the theory of plane harmonic wave propagation in anisotropic heat–conducting elastic media
A. L. Shuvalov,P. M. Chadwick +1 more
TL;DR: In this article, a hierarchy of degeneracies in the linear theory of thermoelasticity is explored, where the underlying degeneracy is either removed by the perturbation or divided into one or two pairs of thermomechanical degeneracies.
Journal ArticleDOI
Propagation of mechanical and temperature acceleration waves in thermoelastic materials
K. A. Lindsay,B. Straughan +1 more
TL;DR: The behavior of acceleration waves in the nonlinear theory of thermoelasticity of Green and Lindsay [1] is investigated systematically in this paper, where it is shown that two coupled waves may propagate with different finite wave speeds.
Journal ArticleDOI
Acceleration wave propagation in an inhomogeneous heat conducting elastic rod of slowly varying cross-section
Y. B. Fu,Nigel Scott +1 more
TL;DR: In this paper, the acceleration wave propagation in an inhomogeneous, heat-conducting elastic rod of slowly varying cross-sectional area is treated as a problem in one-dimensional wave propagation.
Journal ArticleDOI
On the propagation of generalized transverse waves in heat-conducting elastic materials
P. Chadwick,P. K. Currie +1 more
TL;DR: In this paper, it is shown that in any given plane there is at least one direction in which a generalized transverse wave may propagate, and the existence is also proved that a pair of generalized transversal waves may travel.
References
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Journal ArticleDOI
A theorem of tensor calculus and its application to isotropic elasticity
P. M. Chadwick,Ray W. Ogden +1 more
Journal ArticleDOI
Existence of Longitudinal Waves
TL;DR: Hadamard as discussed by the authors showed that at a point of a strained elastic body where the elasticity operator is strongly elliptic, the squared wavespeed corresponding to any possible real amplitude is positive.
Journal ArticleDOI
The propagation and growth of acceleration waves in heat-conducting elastic materials
TL;DR: The FRESNEL-HADAMARO theorem as discussed by the authors requires the acceleration amplitude of a wave travelling in a given direction to be a right proper vector of a certain tensor, called the acoustical tensor.