Modeling non-linear viscoelastic behavior under large deformations

International Journal of Non-Linear Mechanics, Volume 57,  2013, Pages 154-162.

Esteban del-Castillo, Luis Basanez, Ernest Gil.

Department of Electronic, Electrical, and Automatic Control Engineering, Rovira i Virgili University, Av. Països Catalans 26, 43007 Tarragona Spain and

Institute of Industrial and Control Engineering, Polytechnic University of Catalonia, Diagonal, 647, 11th floor, 08028 Barcelona, Spain.

Abstract

This paper addresses the accurate modeling of the behavior of a thin layer of natural rubber subjected to large deformations. Such a system presents a non-linear viscoelastic behavior similar to many biological soft tissues. The proposed model uses an spring-mass system, and considers a non-linear evolution of the reaction forces of the membrane, as well as viscous and Coulomb friction. In the model, the elasticity coefficient of the springs has an exponential dependence of its elongation. Three experimental tests validate the proposed model, which reaches a real-time performance using an implicit integrator.

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Modeling non-linear viscoelastic behavior under large deformations. Advances in Engineering

 

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