ELECTROMECHANICAL WAVES IN CERAMICS——NUMERICAL SIMULATION

Abstract

Abstract: A simple one-dimensional model is used to simulate numerically the propagation of linear and nonlinear waves in a deformable ceramic. The nummrical scheme used provides the response in stress or strain and electric field within the sample and the voltage at a resistive external circuit connecting the two faces of the sample. Space-time diagrams of the propagation are obtained for various mechanical loads. The voltage response obtained agrees well with experimental results in the linear regime. In the nonlinear one, the steepening of the electromechanical wave yielding a shock wave is exhibited.

Key words: asymptotically nonexpansive mapping, nonexpansive mapping, fixed point, iterative approximation

Gerard A. MAUGIN;Bemard COLLET;Jo&#;l POUGET. ELECTROMECHANICAL WAVES IN CERAMICS——NUMERICAL SIMULATION. Applied Mathematics and Mechanics (English Edition), 1985, 6(12): 1129-1139.

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References

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