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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 ...
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 ...
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 ...
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