Abstract
In this study, it is aimed to analyze the quasi-static response of viscoelastic Kirchhoff plates with mixed finite element formulation based on the Gateaux differential. Although the static response of elastic plate, beam and shell structures is a widely studied topic, there are few studies that exist in the literature pertaining to the analysis of the viscoelastic structural elements especially with complex geometries, loading conditions and constitutive relations. The developed mixed finite element model in transformed Laplace-Carson space has four unknowns as displacement, bending and twisting moments in addition to the dynamic and geometric boundary condition terms. Four-parameter solid model is employed for modelling the viscoelastic behaviour. For transformation of the solutions obtained in the Laplace-Carson domain to the time domain, different numerical inverse transform techniques are employed. The developed solution technique is applied to several quasi-static example problems for the verification of the suggested numerical procedure.
| Original language | English |
|---|---|
| Article number | 04004 |
| Journal | MATEC Web of Conferences |
| Volume | 43 |
| DOIs | |
| Publication status | Published - 19 Feb 2016 |
| Event | 4th International Conference on Nano and Materials Science, ICNMS 2016 - New York, United States Duration: 7 Jan 2016 → 9 Jan 2016 |
Bibliographical note
Publisher Copyright:© Owned by the authors, published by EDP Sciences, 2016.