Time-dependent static analysis of viscoelastic Mindlin plates by defining a time function

This paper presents a new method for bending analysis of moderately thick viscoelastic plates using elasticity responses at asymptotic times. The displacement vector is approximated utilizing two functions of geometrical parameters and one function of time parameter with an unknown coefficient. The unknown coefficient of time function is determined by solving an implicit equation having little computational cost. Numerical results are compared with other existing results to show the accuracy and efficiency of the present method. Also, the effects of geometrical parameters and material properties on the time-dependent central deflection of viscoelastic Mindlin plates are considered for the first time.