Browsing Natural and Mathematical Sciences by Subject "Viscoelasticity"
Now showing items 1-4 of 4
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Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity
(Elsevier, 2020-11-15)In this work we prove local existence of strong solutions to the initial-value problem arising in one-dimensional strain-limiting viscoelasticity, which is based on a nonlinear constitutive relation between the linearized ... -
Quasistatic nonlinear viscoelasticity and gradient flows
(Springer Science+Business Media, 2014)We consider the equation of motion for one-dimensional nonlinear viscoelasticity of strain-rate type under the assumption that the stored-energy function is λ-convex, which allows for solid phase transformations. We formulate ... -
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 ... -
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 ...
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