مرکز منطقه ای اطلاع رساني علوم و فناوري - A MATHEMATICAL MODEL FOR ELECTRO-THERMOELASTIC ANALYSIS OF FIBER REINFORCED PIEZOELECTRIC COMPOSITES

Abstract :

This study aims to develop constitutive equations for linear thermoelastic analysis of a composite material having piezoelectric feature and reinforced by arbitrary a fiber family. Fiber-reinforced composite media are assumed to be of anisotropic nature and are considered to be compressible due to their piezoelectric properties. Besides, it is assumed that the fiber family is inextensible. In addition, since the composite material is insensitive to the directional change along the fiber, it is mathematically unaffected by the change B→−Bof fiber vector, so a symmetric a symmetric tensor, which is the outer product of the components of the fiber vector, is defined. The basis of this work is the equations of electro-thermomechanical equilibrium equations, fiber deformation geometry and kinematics. The use of constitutive axioms has shown that the stress potential is dependent on the Green deformation tensor, the fiber distribution tensor, the electric field vector and the absolute temperature, and the heat vector function is dependent on together with these magnitudes the gradient of the temperature field. Because of the anisotropic nature of the composite media, the stress potential and heat vector functions are found in approximate theories, and all of the interactions are considered as linear and series expansion is performed. Field equations are found as a result of substituting the expressions in equilibrium equations and the linear constitutive equations of symmetric stress, polarization and heat flux vector written in spatial coordinates.