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Acceleration Waves in Thermoelastic Materials with Voids

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Synonyms

Acceleration waves

Overview

The theory of voids in nonlinear elastic materials is outlined. This is a theory capable of describing certain classes of porous media and is particularly suitable for dealing with the motion of nonlinear waves. This entry concentrates on the motion of nonlinear acceleration waves in elastic materials containing voids. A thermodynamic description is given of the theory of nonlinear elastic materials with voids, and then acceleration waves are defined and it is outlined how to obtain the wavespeeds and amplitudes. After this, more involved theories of elastic materials with voids are introduced which also allow propagation of a temperature wave in addition to the usual elastic and void waves.

Introduction

The object of this entry is to examine a class of theory which is believed capable of describing certain motions in porous media. This is the theory of elastic materials containing voids developed by Nunziato and Cowin [1]. This theory is...

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  • DOI: 10.1007/978-94-007-2739-7_938
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Acknowledgments

This research was supported by the Leverhulme Research grant “Tipping Points, Mathematics, Metaphors and Meanings.”

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Correspondence to Brian Straughan .

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Straughan, B. (2014). Acceleration Waves in Thermoelastic Materials with Voids. In: Hetnarski, R.B. (eds) Encyclopedia of Thermal Stresses. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2739-7_938

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