Anisotropic piezo-electro-thermo-viscoelasticity theory with applications to composites

摘要

The general nonlinear 3-D large deformation theory of anisotropic piezo-electro-thermo-viscoelasticity is formulated and represents the confluence of anisotropic elasticity and thermo-viscoelasticity, nonhomogeneous layered media andpiezoelectricity. In addition to piezoelectric contributions, the anisotropic nonlinear viscoelastic constitutive relations also included thermal expansion, curing and aging effects. For linear materials and small deformations, apiezoe1astie/piez-viscoelastic analogy is established in terms of integral Fourier and Laplace transforms. In order to demonstrate the effectiveness of the above piezo-viscoelastic constitutive relation derivations, piezo-elastic examples of beamsolutions have been re-formulated in terms of piezo-viscoelastic constitutive relations and solved analytically and numerically using viscoelastic finite element analyses. Comparisons with piezo-elastic solutions are made and visco elastic influences ongenerated voltages and structural control are discussed.