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A variational constitutive model for soft biological tissues

Authors
Journal
Journal of Biomechanics
0021-9290
Publisher
Elsevier
Publication Date
Volume
41
Issue
7
Identifiers
DOI: 10.1016/j.jbiomech.2008.02.023
Keywords
  • Biological Tissues
  • Variational
  • Ogden
  • Plasticity
  • Shear
  • Volumetric Damage
  • Finite Strain
  • Cavitation
  • Genetic Algorithms
  • Hyper Elasticity
  • Viscosity
  • Microinertia
Disciplines
  • Biology
  • Computer Science

Abstract

Abstract In this paper, a fully variational constitutive model of soft biological tissues is formulated in the finite strain regime. The model includes Ogden-type hyperelasticity, finite viscosity, deviatoric and volumetric plasticity, rate and microinertia effects. Variational updates are obtained via time discretization and pre-minimization of a suitable objective function with respect to internal variables. Genetic algorithms are used for model parameter identification due to their suitability for non-convex, high dimensional optimization problems. The material behavior predicted by the model is compared to available tests on swine and human brain tissue. The ability of the model to predict a wide range of experimentally observed behavior, including hysteresis, cyclic softening, rate effects, and plastic deformation is demonstrated.

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