Quasi-static and dynamic analysis of viscoelastic plates

Abstract

In this study, the quasi-static and dynamic behavior of viscoelastic Kirchhoff plates is studied numerically by using the mixed finite element method in transformed Laplace–Carson space. In the transformed Laplace–Carson space, a new functional has been constructed for viscoelastic Kirchhoff plates through a systematic procedure based on the Gâteaux differential. For numerical inversion, the Maximum Degree of Precision (MDOP), Dubner and Abate’s, and Durbin’s transform techniques are employed. The developed solution technique is applied to several quasi-static and dynamic example problems.