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Approximate analytical solution for the problem of an inclusion in a viscoelastic solid under finite strains

Approximate analytical solution for the problem of an inclusion in a viscoelastic solid under... Abstract The approximate analytical solution of a quasi-static plane problem of the theory of viscoelasticity is obtained under finite strains. This is the problem of the stress–strain state in an infinite body with circular viscoelastic inclusion. The perturbation technique, Laplace transform, and complex Kolosov–Muskhelishvili’s potentials are used for the solution. The numerical results are presented. The nonlinear effects and the effects of viscosity are estimated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mechanics of Time-Dependent Materials Springer Journals

Approximate analytical solution for the problem of an inclusion in a viscoelastic solid under finite strains

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References (27)

Publisher
Springer Journals
Copyright
2015 Springer Science+Business Media Dordrecht
ISSN
1385-2000
eISSN
1573-2738
DOI
10.1007/s11043-015-9288-2
Publisher site
See Article on Publisher Site

Abstract

Abstract The approximate analytical solution of a quasi-static plane problem of the theory of viscoelasticity is obtained under finite strains. This is the problem of the stress–strain state in an infinite body with circular viscoelastic inclusion. The perturbation technique, Laplace transform, and complex Kolosov–Muskhelishvili’s potentials are used for the solution. The numerical results are presented. The nonlinear effects and the effects of viscosity are estimated.

Journal

Mechanics of Time-Dependent MaterialsSpringer Journals

Published: Jun 1, 2016

Keywords: Solid Mechanics; Classical Mechanics; Characterization and Evaluation of Materials; Polymer Sciences

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