Abstract
ABSTRACTIn this article, an exact solution is obtained to the time-dependent problem of a laminated orthotropic elastic cylindrical shell bonded to piezoelectric actuator and sensor incorporating interfacial diffusion and sliding subjected to electromechanical loadings. The state-space method is employed to solve this problem. Both the direct and the inverse piezoelectric effects of the piezoelectric material are investigated. The relaxation times and the transient electroelastic fields of displacements, stresses, and electric potential are calculated for three-layered and five-layered smart cylindrical shells. It is found that interfacial diffusion and sliding can effectively reduce the initial high stress concentrations as the evolution time is long enough. The derived solution can be used as benchmark results for various approximate shell theories and numerical methods.
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