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A VARIATIONAL APPROACH FOR FIBER REINFORCED VISCOELASTIC MATERIALS SUBJECT TO DAMAGE

Fancello, E. A.; Vassoler, J. M.; Selke, A. E.; Stainier, L.;

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A variational approach for fiber reinforced viscoelastic materials subject to damage The mechanical properties of soft biological tissues vary depending on how the internal structure is organized. Classical examples of tissues are ligaments, tendons, skin, arteries, and annulus fibrous. The main element of such tissues is the fibers which are responsible for the tissue resistance and the main mechanical characteristic is their viscoelastic anisotropic behavior. The objective of this paper is to extend an existing model for viscoelastic materials with (anisotropic) reinforcement of fibers in order to include damage that arises when strains assumes values greater than some physiological range. The model is based on a variational framework in which its mechanical behavior is described by a free energy incremental potential whose local minimization provides the constraints for the internal variable updates for each load increment. Among the advantages of these variational approaches we should mention the ability to represent different material models depending on the choice of suitable potential functions and the obtention of symmetric constitutive tangent matrices. Some numerical examples are shown in order to evaluate the performance of the proposed model

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Palavras-chave: Viscoelasticity, Damage, Finite strains,

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DOI: 10.5151/meceng-wccm2012-19735

Referências bibliográficas
  • [1] Holzapfel G, Gasser TC. A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications. Computer Methods in Applied Mechanics and Engineering 2001; 190(34):4379–4403.
  • [2] Limbert G, Taylor M, Middleton J. Three-dimensional finite element modelling of the human acl: simulation of passive knee flexion with a stressed and stress-free acl. Journal of Biomechanics 2004; 37(11):1723–1731.
  • [3] Calvo B, Peña E, Martinez MA, Doblar´e M. An uncoupled directional damage model for fibred biological soft tissues. Formulation and computational aspects. International Journal for Numerical Methods in Engineering 2007; 69(10):2036–2057.
  • [4] Peña E, Calvo B, Martinez MA, Doblar´e M. On finite-strain damage of viscoelasticfibred materials. Application to soft biological tissues. International Journal for Numerical Methods in Engineering 2008; 74(7):1198–1218.
  • [5] Rodriguez JF, Alustre V, Doblar´e M. Finite element implementation of a stochastic three dimensional finite-strain damage model for fibrous soft tissue. Application to soft biological tissues. Computer Methods in Applied Mechanics and Engineering 2008; 197(9- 120:946–958.
  • [6] Peña E. Damage functions of the internal variables for soft biological fibred tissues. Mechanics Research Communications 2008; 38(8):610–615.
  • [7] Vassoler JM, Reips L, Fancello EA. A variational framework for fiber-reinforced viscoelastic soft tissues. International Journal for Numerical Methods in Engineering 2012; 89(13):1691–1706.
  • [8] Ortiz M, Stainier L. The variational formulation of viscoplastic constitutive updates. Computer Methods in Applied Mechanics and Engineering 1999; 171(3–4):419–444.
  • [9] Holzapfel GA. Nonlinear solid mechanics: a continuum approach for engineering Wiley, 2000.
  • [10] Fancello EA, Ponthot JP, Stainier L. A variational formulation of constitutive models and updates in nonlinear finite viscoelasticity. International Journal for Numerical Methods in Engineering 2006; 65(11):1831–1864.
  • [11] Anand L, Weber G. Finite deformations constitutive equations and a time integration procedure for isotropic hyperelastic-viscoplastic solids. Computer Methods in Applied Mechanics and Engineering 1990; 79(2):173–202.
  • [12] Ogden RW, Roxburgh DG. A pseudo-elastic model for the Mullins effect in filled rubber. Proceedings: Mathematical, Physical and Engineering Sciences 1999; 455(1988):2861–2877.
Como citar:

Fancello, E. A.; Vassoler, J. M.; Selke, A. E.; Stainier, L.; "A VARIATIONAL APPROACH FOR FIBER REINFORCED VISCOELASTIC MATERIALS SUBJECT TO DAMAGE", p. 4085-4097 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19735

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