Thermoelastic wave propagation in inhomogeneous media |
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| Authors: | A Berezovski J Engelbrecht G A Maugin |
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| Institution: | (1) Department of Mechanics and Applied Mathematics, Institute of Cybernetics at Tallinn Technical University, Akadeemia tee 21, 12618 Tallinn, Estonia, EE;(2) Université Pierre et Marie Curie, Laboratoire de Modélisation en Mécanique, UMR 7607, Tour 66, 4 Place Jussieu, Case 162, F-75252 Paris Cédex 05, France, FR |
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| Abstract: | Summary A novel approach to the modeling of thermoelastic wave propagation is presented, based on the thermodynamics of discrete
systems. The first novelty includes the representation of integral balance laws for thermoelasticity in terms of contact quantities
that describe the nonequilibrium state of elements. The next new aspect is a modification of the recently proposed wave-propagation
algorithm, which is used as a tool for determining the contact quantities in a finite-volume scheme for the numerical simulation
of two-dimensional thermoelastic wave propagation in inhomogeneous media. Such a modification is needed to provide the satisfaction
of the thermodynamic consistency conditions between adjacent discrete elements. Results of computations for certain test problems
show the efficiency and physical consistency of the algorithm.
Received 11 November 1999; accepted for publication 2 May 2000 |
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| Keywords: | Thermoelastic wave numerical simulation discrete system |
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