Browsing Natural and Mathematical Sciences by OzU Authors "Şengül, Yasemin"
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An approach to nonlinear viscoelasticity via metric gradient flows
Mielke, A.; Ortner, C.; Şengül, Yasemin (SIAM, 2014)We formulate quasistatic nonlinear finite-strain viscoelasticity of rate type as a gradient system. Our focus is on nonlinear dissipation functionals and distances that are related to metrics on weak diffeomorphisms and ... -
Quasistatic nonlinear viscoelasticity and gradient flows
Ball, J. M.; Şengül, Yasemin (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 ... -
Traveling waves in one-dimensional non-linear models of strain-limiting viscoelasticity
Erbay, Hüsnü Ata; Şengül, Yasemin (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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