Quasistatic nonlinear viscoelasticity and gradient flows

Article, Preprint English OPEN
Ball, J. M.; Şengül, Yasemin;
(2014)
  • Publisher: Springer Science+Business Media
  • Related identifiers: doi: 10.1007/s10884-014-9410-1
  • Subject: Nonlinear partial differential equations | Viscoelasticity | Mathematics - Analysis of PDEs | Gradient flows | Infinite-dimensional dynamical systems | 35A01, 35A02, 74D10, 82B26

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 this problem as a gradient flow, leading to ... View more
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