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Based on the Talreja’s damage model with tensor valued internal state variables and the classical geometric nonlinear theory, the constitutive relations of the composite uni-ply plate with damage are derived. Then the nonlinear dynamic equations of the piezoelastic laminated plates considering damage effects are obtained. By using the finite difference method and the Newmark scheme, these equations...
By introducing the Heaviside step function into the assumed displacement components and using the Rayleigh–Ritz method for minimizing the total potential energy, a set of dynamic governing equations for the delaminated cylindrical shells is derived. Then, the dynamic governing equations are written as the Mathieu-type equations to describe the parametric vibrating behavior of the shells, and these...
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