Circularly polarized wave propagation in a class of bodies defined by a new class of implicit constitutive relations Academic Article

abstract

• 2013, Springer Basel. In this paper, we show that circularly polarized transverse stress waves, standing shear stress waves, and oscillatory shear stress waves can propagate in a new class of viscoelastic solid bodies which are a subclass of bodies described by implicit constitutive theories. The class of models that is being considered includes as sub-classes, the classical KelvinVoigt model, the new models introduced by Rajagopal wherein the CauchyGreen tensor is a non-linear function of the stress, and the NavierStokes fluid model. The solutions established in this paper are generalizations of solutions that have been established within the context of nonlinear elasticity by Carroll, and Destrade and Saccomandi, to the new class of elastic and viscoelastic bodies that are being considered.

authors

• Rajagopal, Kumbakonam

published proceedings

• ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

author list (cited authors)

• Rajagopal, K. R., & Saccomandi, G.

citation count

• 12

complete list of authors

• Rajagopal, KR||Saccomandi, Giuseppe

publication date

• October 2014

publisher

• Springer Nature  Publisher

published in

• Zeitschrift fuer Angewandte Mathematik und Physik  Journal

keywords

• Circularly Polarized Waves
• Implicit Elastic Models
• Shear Waves
• Viscoelasticity

Digital Object Identifier (DOI)

• 10.1007/s00033-013-0362-9

start page

• 1003

end page

• 1010

volume

• 65

issue

• 5

URL

• http://dx.doi.org/10.1007/s00033-013-0362-9