Creep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic solid

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dc.creatorDestrade, Michel
dc.creatorSaccomandi, Giuseppe
dc.date2007-12-03
dc.date.accessioned2026-07-07T08:46:51Z
dc.date.available2026-07-07T08:46:51Z
dc.descriptionWe present a constitutive model capturing some of the experimentally observed features of soft biological tissues: nonlinear viscoelasticity, nonlinear elastic anisotropy, and nonlinear viscous anisotropy. For this model we derive the equation governing rectilinear shear motion in the plane of the fiber reinforcement; it is a nonlinear partial differential equation for the shear strain. Specializing the equation to the quasi-static processes of creep and recovery, we find that usual (exponential-like) time growth and decay exist in general, but that for certain ranges of values for the material parameters and for the angle between the shearing direction and the fiber direction, some anomalous behaviors emerge. These include persistence of a nonzero strain in the recovery experiment, strain growth in recovery, strain decay in creep, disappearance of the solution after a finite time, and similar odd comportments. For the full dynamical equation of motion, we find kink (traveling wave) solutions which cannot reach their assigned asymptotic limit.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0712.0229
dc.identifierhttp://arxiv.org/abs/0712.0229
dc.identifierSIAM Journal on Applied Mathematics 68, 1 (2007) 80-97
dc.identifierdoi:10.1137/060664483
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143398
dc.subjectSoft Condensed Matter
dc.titleCreep, recovery, and waves in a nonlinear fiber-reinforced viscoelastic solid
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