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The Stability Condition and Energy Estimate for Nonstationary Problems of Coupled Electroelasticity

Department of Mathematics and Computing, University of Southern Queensland, QLD 4350, Australia

In this article, a coupled problem of dynamic electroelasticity is investigated using the variational approach and the concept of generalized solutions. The author derives a numerical procedure directly from the definition of the generalized solution of the problem and proves the convergence of the numer- ical scheme (with the second order in space-time) to the solution of the original problem from a class of generalized solutions. The stability condition is obtained from an energy estimate. It is shown that such a condition is the Courant-Friederichs-Lewy-type stability condition, being dependant of the velocity mixed electroelastic waves. Coupling effects are discussed with a numerical example.

Mathematics and Mechanics of Solids, Vol. 2, No. 2, 153-180 (1997)
DOI: 10.1177/108128659700200204


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