On modelling viscoelasticity of fibred biological tissues
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Autores: Benjamín Calvo Pérez
, Estefanía Peña Baquedano
- Localización: Ninth international conference Zaragoza-Pau on applied mathematics and statistics: Jaca (Spain). September 19-21, 2005 / coord. por Monique Madaune-Tort , 2006, ISBN 84-7733-871-X, págs. 177-184
- Idioma: inglés
- Enlaces
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Resumen
The main goal of this paper is to present a fully three-dimensional finite strain anisotropic viscohyperelastic model for soft biological tissues. The structural model is formulated by employing Simos constitutive framework based on irreversible thermodynamics with internal variables. This model is based in a local additive decomposition of the stress tensor into initial and non-equilibrium part (Kelvin-Voight generalized model) where we consider different viscoelastic behavior of the matrix material and families of the fibers. To describe the constitutive behavior of biological soft tissue, we consider a material constructed from two family fibers continuously distributed in a compliant solid isotropic matrix. Since the mechanical response of biological tissues is almost isochoric, we employ uncoupled volumetric and deviatoric response over any range of deformation.
This is achieved by a local multiplicative decomposition of the deformation gradient into volume-preserving and dilatational parts that permits to model the incompressible properties of soft biological tissues
