Quasi-static and dynamic analysis of viscoelastic plates

Ahmet Yalçın Aköz; Fethi Kadıoğlu; Gülçin Tekin

doi:10.1007/s11043-015-9274-8

Quasi-static and dynamic analysis of viscoelastic plates

Ahmet Yalçın Aköz
, Fethi Kadıoğlu^*
, Gülçin Tekin

^*Corresponding author for this work

Department of Civil Engineering

Maltepe University
Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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.

Original language	English
Pages (from-to)	483-503
Number of pages	21
Journal	Mechanics of Time-Dependent Materials
Volume	19
Issue number	4
DOIs	https://doi.org/10.1007/s11043-015-9274-8
Publication status	Published - 1 Nov 2015

Bibliographical note

Publisher Copyright:
© 2015, Springer Science+Business Media Dordrecht.

Funding

This research is supported by the Scientific and Technological Research Council of Turkey under the grant number 213M332 and by the Research Foundation of Istanbul Technical University (ITU) under grant number 37961. The authors gratefully acknowledge this support.

Funders	Funder number
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu	213M332
Istanbul Teknik Üniversitesi	37961

Keywords

Inverse Laplace transform
Laplace–Carson transform
Mixed finite element
Viscoelastic plate

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10.1007/s11043-015-9274-8

Cite this

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AU - Aköz, Ahmet Yalçın

AU - Kadıoğlu, Fethi

AU - Tekin, Gülçin

PY - 2015/11/1

Y1 - 2015/11/1

N2 - 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.

AB - 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.

KW - Inverse Laplace transform

KW - Laplace–Carson transform

KW - Mixed finite element

KW - Viscoelastic plate

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JO - Mechanics of Time-Dependent Materials

JF - Mechanics of Time-Dependent Materials

IS - 4

ER -

Quasi-static and dynamic analysis of viscoelastic plates

Abstract

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Keywords

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