Determining the Thermo-Electro-Magneto-Elastic State of Multiply Connected Piecewise-Homogeneous Piezoelectric Plates
S. A. Kaloerov, E. S. Glushankov
Vasyl' Stus Donetsk National University, Donetsk, 83001, Ukraine
Keywords: линейный тепловой поток, пьезопластина, включения, температурные напряжения, напряженности и индукции электромагнитного поля, обобщенный метод наименьших квадратов, linear heat flux, piezoelectric plate, inclusions, temperature stresses, stresses and inductions of the electromagnetic field, generalized least squares method
Abstract
A method for studying the thermo-electro-magneto-elastic state of a multiply connected piecewise-homogeneous piezoelectric plate under the action of a linear heat flux is proposed. The solution of a problem using complex potentials and the generalized least squares method is reduced to solving a system of linear algebraic equations with respect to unknown expansion coefficients of functions into Laurent series and Faber polynomials. For the case of a plate with one inclusion, an exact analytical solution of the problem is obtained. The results of the numerical studies, which determine the effect of the electric and magnetic properties of the plate materials and inclusions and their location on the main characteristics of the thermo-electro-magneto-elastic state are described.
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