Journal
WAVE MOTION
Volume 86, Issue -, Pages 195-202Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.wavemoti.2018.12.004
Keywords
Quasi-linear viscoelasticity (QLV); Fung; Yeoh model; Shear motions; Travelling waves; Kink-waves; Riccati equation
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The quasi-linear model of viscoelasticity is a constitutive law widely used to investigate the time dependent behaviour of soft tissues and bio-materials. For this model, we study the shearing motion and discuss the existence of kink-type wave solutions. In particular, we derive a nonlinear second-order ordinary differential equation which allows to widen the class of solutions given by Samsonov (1995). When the stress relaxation function is a Prony series, kink-wave solutions can exist for strongly elliptic strain energy functions, except for the Mooney-Rivlin model. We provide numerical simulations for the Yeoh model. (C) 2018 Elsevier B.V. All rights reserved.
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