TY - GEN
T1 - A Comparison of a nonlinear and quasilinear viscoelastic anisotropic model for fibrous tissues
AU - Nguyen, T. D.
PY - 2010
Y1 - 2010
N2 - This paper presents a nonlinear and quasilinear viscoelasticity model for the behavior of soft fibrous tissues that incorporates the effects of matrix and fiberlevel viscoelasticity. Both models treat the tissue as a composite of N fiber families in an isotropic matrix. For the nonlinear model, the anisotropic contribution of the fibers to the constitutive behavior of the tissue is developed by first defining the stress response and viscous flow response of the fiber families, then averaging by the fiber orientation. Similarly, the anisotropic contribution of the quasilinear model is developed from a hereditary integral formulation for the stress response of the fiber families. The stress relaxation response of the nonlinear and quasilinear models are compared for different applied strains. As expect, the time-dependent response of the two formulations are nearly identical for small strain, but they exhibit significant differences at large strain.
AB - This paper presents a nonlinear and quasilinear viscoelasticity model for the behavior of soft fibrous tissues that incorporates the effects of matrix and fiberlevel viscoelasticity. Both models treat the tissue as a composite of N fiber families in an isotropic matrix. For the nonlinear model, the anisotropic contribution of the fibers to the constitutive behavior of the tissue is developed by first defining the stress response and viscous flow response of the fiber families, then averaging by the fiber orientation. Similarly, the anisotropic contribution of the quasilinear model is developed from a hereditary integral formulation for the stress response of the fiber families. The stress relaxation response of the nonlinear and quasilinear models are compared for different applied strains. As expect, the time-dependent response of the two formulations are nearly identical for small strain, but they exhibit significant differences at large strain.
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U2 - 10.1007/978-90-481-3348-2_2
DO - 10.1007/978-90-481-3348-2_2
M3 - Conference contribution
AN - SCOPUS:84862583045
SN - 9789048133475
T3 - IUTAM Bookseries
SP - 19
EP - 29
BT - IUTAM Symposium on Cellular, Molecular and Tissue Mechanics - Proceedings of the IUTAM Symposium
T2 - IUTAM Symposium on Cellular, Molecular and Tissue Mechanics
Y2 - 18 June 2008 through 21 June 2008
ER -