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On the constitutive modelling of biological soft connective tissues. A general theoretical framework for strongly anisotropic fiber-reinforced composites at finite strain

On the constitutive modelling of biological soft connective tissues. A general theoretical framework for strongly anisotropic fiber-reinforced composites at finite strain
On the constitutive modelling of biological soft connective tissues. A general theoretical framework for strongly anisotropic fiber-reinforced composites at finite strain
This research describes a general theoretical framework for the constitutive modeling of biological soft connective tissues. The approach is based on the theory of continuum fiber-reinforced composites at finite strain. Explicit expressions of the stress tensors in the material and spatial configurations are first established in the general case, without precluding any assumption regarding possible kinematic constraints or any particular mechanical symmetry of the material. Original expressions of the elasticity tensors in the material and spatial configurations are derived and new coupling terms, characterizing the interactions between the constituents of the continuum composite material, are isolated and their biological significance highlighted. Further to this, expressions of the elasticity tensors are degenerated in order to take into account special type of material symmetries. Kinematic constraints and constitutive requirements are also briefly discussed.
hyperelasticity, anisotropy, fiber-reinforced composite, elasticity tensor, biological soft tissue, ligament, tendon
0020-7683
2343-2358
Limbert, G.
a1b88cb4-c5d9-4c6e-b6c9-7f4c4aa1c2ec
Taylor, M.
e368bda3-6ca5-4178-80e9-41a689badeeb
Limbert, G.
a1b88cb4-c5d9-4c6e-b6c9-7f4c4aa1c2ec
Taylor, M.
e368bda3-6ca5-4178-80e9-41a689badeeb

Limbert, G. and Taylor, M. (2002) On the constitutive modelling of biological soft connective tissues. A general theoretical framework for strongly anisotropic fiber-reinforced composites at finite strain. International Journal of Solids and Structures, 39 (8), 2343-2358. (doi:10.1016/S0020-7683(02)00084-7).

Record type: Article

Abstract

This research describes a general theoretical framework for the constitutive modeling of biological soft connective tissues. The approach is based on the theory of continuum fiber-reinforced composites at finite strain. Explicit expressions of the stress tensors in the material and spatial configurations are first established in the general case, without precluding any assumption regarding possible kinematic constraints or any particular mechanical symmetry of the material. Original expressions of the elasticity tensors in the material and spatial configurations are derived and new coupling terms, characterizing the interactions between the constituents of the continuum composite material, are isolated and their biological significance highlighted. Further to this, expressions of the elasticity tensors are degenerated in order to take into account special type of material symmetries. Kinematic constraints and constitutive requirements are also briefly discussed.

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More information

Published date: 2002
Keywords: hyperelasticity, anisotropy, fiber-reinforced composite, elasticity tensor, biological soft tissue, ligament, tendon

Identifiers

Local EPrints ID: 22034
URI: http://eprints.soton.ac.uk/id/eprint/22034
ISSN: 0020-7683
PURE UUID: 7b481af4-afe1-417f-b9bb-76f1c380fe72

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Date deposited: 14 Mar 2006
Last modified: 15 Jul 2019 19:23

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