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On a continuum thermodynamics formulation and computational aspects of finite growth in soft tissues

Boumediene Nedjar 1 
1 msa - Matériaux et Structures Architecturés
navier umr 8205 - Laboratoire Navier
Abstract : In this paper, we try to settle the bases of a concise modelling of growth within the unified framework of continuum thermodynamics. Special emphasis is placed on the modelling of soft biological tissues at finite strains. For this, we adopt the nowadays well-known kinematic assumption of a multiplicative decomposition of the deformation gradient into an elastic part and a growth part. It is shown how continuum thermodynamics is crucial in setting convenient forms for the coupling between stress and growth in general. The particularization to isotropy simplifies considerably the growth modelling from both the theoretical and the numerical points of view. Simple growth constitutive equations are proposed and embedded into a finite element context. Finally, representative numerical examples examining stress-dependent growth and residual stress arising from growth and resorption close this study.
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Soumis le : mercredi 8 février 2012 - 21:41:53
Dernière modification le : samedi 15 janvier 2022 - 03:50:33
Archivage à long terme le : : mercredi 9 mai 2012 - 02:51:23


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Boumediene Nedjar. On a continuum thermodynamics formulation and computational aspects of finite growth in soft tissues. International Journal for Numerical Methods in Biomedical Engineering, John Wiley and Sons, 2011, 27, pp.1850-1866. ⟨10.1002/cnm.1448⟩. ⟨hal-00668026⟩



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