Anisotropic NonlinearPiezo-electro-chemo-thermo-viscoelasticity:Characterization, Simulations, ProbabilisticFailures And Structural Integrity

The generalized nonlinear three dimensional large deformation theory of anisotropic piezo-electro-chemo-thermo-viscoelasticity is formulated and represents the confluence of anisotropic elasticity and thermo-viscoelasticity, nonho-mogeneous layered media and piezoelectricity. In addition to piezoelectric contributions, the anisotropic nonlinear viscoelastic constitutive relations also include thermal expansions, and curing and aging effects. The individual responses of the structure, piezo devices and their bonding agents are considered by the inclusion of distinct viscoelastic constitutive relations for each of these parts. For linear materials and small deformations, a piezoelastic/piezo-viscoelastic analogy is estab-lished in terms of integral Fourier and Laplace transforms. These developments are used in the present paper to evaluate the dynamic interactions between viscoelastic material damping and piezoelectric effects on voltage generation and structural control. These problems are solved analytically and numerically using fast Fourier transforms and Schapery’s approximate inversion method. A cantilever beam and a circular plate both with piezoelectric upper and lower surface strips are chosen as vehicles for such sensitivity analyses. Each model has three distinct viscoelastic properties, namely the beam itself, the strip rigidity and a viscoelastic-emf constitutive relation. It is shown that delamination failure probabilities can be signif-icantly reduced by piezoelectric viscoelastic control. Results of such an analysis permit the designer to properly select structural materials, such as composites, for prescribed life times based on preassigned probabilities of delamination.