Abstract
In this paper, a novel approximation method is presented for the large deformation analysis of moderately thick fiber-reinforced composite plates based on elasticity responses at asymptotic times. The displacement vector is approximated using separation of variables, by two functions of geometrical parameters and one function of time parameter with unknown coefficients. The unknown coefficients of the time function are determined employing the least squares optimization and the Lagrange multipliers methods. It is shown that the geometrically nonlinear responses of time-dependent composite plates can be obtained by finding the optimum coefficients of the time function with low computational cost and high precision.
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