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Basic mathematical methods for analysis of boundary-initial-value problems arising in mechanics and thermomechanics of solids.
Last update: T_MUUK (14.05.2013)
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To present at least a bit from Mathematical Methods in Solid State Continuum Mechanics Last update: T_MUUK (14.05.2013)
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The exam is oral and the students are granted time for preparation. Last update: Šmíd Dalibor, Mgr., Ph.D. (14.06.2019)
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Mielke, A. and T. Roubíček (2015). Rate-independent systems, Volume 193 of Applied Mathematical Sciences. Springer, New York. Theory and application.
Roubíček, T. (2013). Nonlinear partial differential equations with applications (Second ed.), Volume 153 of International Series of Numerical Mathematics. Birkhäuser/Springer Basel AG, Basel.
Nečas, J. and I. Hlaváček (1980). Mathematical theory of elastic and elasto-plastic bodies: an introduction, Volume 3 of Studies in Applied Mechanics. Amsterdam: Elsevier Scientific Publishing Co. Last update: T_MUUK (28.04.2016)
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Lectures Last update: T_MUUK (14.05.2013)
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Evolution problems at small deformations, viscous materials with rheology of Kelvin, Maxwell, or Poynting-Thompson type, materials with internal parameters (Halphen-Nguyen generalized standard materials), activated inelastic processes, a-priori estimates and existence of weak solutions, quasi-static activated rate-independent processes (plasiticity, martensitic transformation, damage, etc.), definition and existence of energetic solutions. Special evolution problems at large strains. Thermodynamics of viscoelastic matarials and selected inelastic processes, a-priori estimates of thermally coupled systems. Last update: T_MUUK (14.05.2013)
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