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Mathematical Methods in Mechanics of Solids

Class at Faculty of Mathematics and Physics |
NMMO535

Syllabus

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.

Annotation

Basic mathematical methods for analysis of boundary-initial-value problems arising in mechanics and thermomechanics of solids.