document: The exact solution of coupled thermoelectroelastic behavior of piezoelectric laminates Exact solutions for static analysis of thermoelectroelastic laminated plates are presented . In this analysis , a new concise procedure for the analytical solution of composite laminated plates with piezoelectric layers is developed . A simple eigenvalue formula in real number form is directly developed from the basic coupled piezoelectric differential equations and the difficulty of treating imaginary eigenvalues is avoided . The solution is defined in the trigonometric series and can be applied to thin and thick plates . Numerical studies are conducted on a five-layer piezoelectric plate and the complexity of stresses and deformations under combined loading is illustrated . The results could be used as a benchmark for assessing any numerical solution by approximate approaches such as the finite element method while also providing useful physical insight into the behavior of piezoelectric plates in a thermal environment
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