Quasi-static and dynamic analysis of viscoelastic plates


Akoz A. Y. , Kadıoğlu F., Tekin G.

MECHANICS OF TIME-DEPENDENT MATERIALS, vol.19, no.4, pp.483-503, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 4
  • Publication Date: 2015
  • Doi Number: 10.1007/s11043-015-9274-8
  • Journal Name: MECHANICS OF TIME-DEPENDENT MATERIALS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.483-503
  • Keywords: Viscoelastic plate, Laplace-Carson transform, Mixed finite element, Inverse Laplace transform, FINITE-ELEMENT-METHOD, NUMERICAL INVERSION, LAPLACE TRANSFORMS

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 GA cent teaux 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.