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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 108
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Paper 202

Visco-Hyperelasticity for Incompressible Anisotropic Materials

M. Latorre and F.J. Montáns

Escuela Técnica Superior de Ingeniería Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Spain

Full Bibliographic Reference for this paper
, "Visco-Hyperelasticity for Incompressible Anisotropic Materials", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 202, 2015. doi:10.4203/ccp.108.202
Keywords: viscoelasticity, hyperelasticity, logarithmic strains, anisotropy, living tissues, polymers.

Summary
Polymers and biological materials are often considered hyperelastic isochoric materials with a relevant viscous behavior. The behavior of these materials is often anisotropic due to reinforcing components laid up during manufacturing or by nature. In this paper we present and compare two different formulations developed for anisotropic materials which sustain large strains and contain a viscous dissipative behavior. We use a phenomenological, continuum-based approach. These formulations are valid for large deviations from thermodynamic equilibrium and can be coupled with any available anisotropic large-strain stored energy. Even though one formulation is based on the Sidoroff multiplicative decomposition and the other on a reversed decomposition, a parallelism between both formulations is apparent. Furthermore, for the case of moderate large strains, anisotropic hyperelasticity and isotropic viscosity, we show that we obtain similar predictions in the given examples.

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