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Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity
(Elsevier, 2015-12)
In this paper we investigate traveling wave solutions of a non-linear differential equation describing the behaviour of one-dimensional viscoelastic medium with implicit constitutive relations. We focus on a subclass of ...
A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity
(Springer Nature, 2020-05-28)
We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the ...
Dispersive transverse waves for a strain-limiting continuum model
(Sage, 2023-10)
It is well known that propagation of waves in homogeneous linearized elastic materials of infinite extent is not dispersive. Motivated by the work of Rubin, Rosenau, and Gottlieb, we develop a generalized continuum model ...
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