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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 , "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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