Abstract
Piezoelectric materials have become very popular in dynamic sensing, actuation and control of active structural and mechanical systems in recent years. This paper sets out to provide a comprehensive thermo-electromechanical theory of anisotropic piezoelectric thin shell laminates subjected to mechanical, electric and temperature excitations. Piezothermoelastic constitutive equations of anisotropic piezoelectric materials are defined, and governing thermo-electromechanical equations and boundary conditions are derived using Hamilton’s principle. In general, the resultant forces/moments and electric displacements have three components, contributed by the elastic, electric and thermal fields, respectively; they interact in the system thermo-electromechanical equations and boundary conditions. Applications of the theory to dynamic sensing and control are also discussed. Due to the generalities of the material and geometry, the derived theory can be widely used in many piezoelectric materials, e.g., piezoceramics, piezo-polymers, etc., and also geometries, e.g., shells, plates, rings, beams, etc. Application examples are given in case studies.
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