English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this study, a functional for the dynamic analysis of viscoelastic Kirchhoff plates is obtained through an efficient systematic procedure based on the Gâteaux Differential Method. For the solution of the derived functional, mixed finite element method in transformed Laplace-Carson space is used. In this functional, there exists four independent variables such as deflection (w), internal forces (Mx, My, Mxy) in addition to the dynamic and geometric boundary condition terms. For modeling the viscoelastic behavior, four parameter solid model is employed. For transformation of the solutions obtained in the LaplaceCarson domain to the time domain, different numerical inverse transform techniques are employed. The developed solution technique is applied to several dynamic example problems for the verification of the suggested numerical procedure. Keywords—dynamic analysis, viscoelastic plates, Gâteaux differential, mixed finite element method, Laplace-Carson transform

Viscoelastic Kirchhoff Plate Analysis via Mixed Finite Element Formulation