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- W3166355356 abstract "The principal relations of the refined Maxwell electromagnetic theory of piezoceramic bodies demonstrating a piezoeffect are presented. The chapter also includes the principal relations of linear electroelasticity theory composed of equations describing a mechanical component of the piezoeffect (the relations being valid for any linear medium, appearing from the energy conservation law, as well as from the geometric connections needed) and equations of the forced electrostatics of dielectrics describing electrical phenomena in a medium presented in a curvilinear coordinate system. The connection between the variables of the equations of the two kinds is defined by physical relations presented by the equations of the piezoeffect. If the function of electrical enthalpy is chosen as homogeneous square forms of the independent thermodynamic variables (electrical and mechanical), these equations become linear. The symmetrical tensors of stresses and strains present mechanical variables, while the vectors of electrical induction and the strength of the electric field present the electrical variables. The appropriate state equations are derived accounting for the symmetry of properties of the preliminary polarized piezoceramic material. This symmetry corresponds to the symmetry of the crystals of the 6mm class. The closed systems of electroelasticity equations are written and applied to cylindrical and spherical coordinate systems. The boundary conditions for mechanical and electrical components of the coupled field on the surfaces of the piezoceramic body and on the interface of layers in the case of the piecewise-inhomogeneous material are stated. The efficient numerical–analytical discretely continual approach to studying the dynamical behavior of homogeneous and inhomogeneous piezoceramic cylinders and spheres is outlined in the following chapters." @default.
- W3166355356 created "2021-06-22" @default.
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- W3166355356 date "2021-01-01" @default.
- W3166355356 modified "2023-10-18" @default.
- W3166355356 title "Basic Relations of Linear Electroelasticity Theory" @default.
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- W3166355356 doi "https://doi.org/10.1007/978-3-030-74199-0_1" @default.
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