A plane dynamical problem of coupled electroelasticity. (Russian, English) Zbl 1183.74092

Prikl. Mat. Mekh. 72, No. 5, 842-851 (2008); translation in J. Appl. Math. Mech. 72, No. 5, 611-618 (2008).
The authors discuss a method for the solution of two-dimensional internal and external boundary-value problems of coupled electroelasticity with allowance for finite velocity of propagation of thermal impulses. The method is based on the construction of fundamental solutions to appropriate equations. In the framework of the stated problems, coupling of thermomechanical fields is estimated and hyperbolic and parabolic heat conductivity models are compared.


74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
74F05 Thermal effects in solid mechanics


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