Mechanics and Thermodynamics of Solids

Code	Completion	Credits	Range	Language
D02MTK	ZK			Czech

Course guarantor:

Martin Kružík

Lecturer:

Martin Kružík

Tutor:

Supervisor:

Department of Physics

Synopsis:

We will study models used in mechanics of solids. This includes constitutive laws, incompressible materials and linearized models. We will also concentrate on hyperelasticity, Various stress and strain measures will be introduced.

In particular, we will discuss:

Isotropic functions, objective functions, frame-indifference principle, elastic materials in large-/small-strain theory, hyperelasticity, the role of determinant, materials models in hyperelasticity, Piola-Kirchhoff stress tenzors

Rheological models, Kelvin's-Voigt's material, Maxwell's material, viscoelastic materials, heat conduction in viscous materials, Calusius-Duhem inequality

Requirements:

Basics of mechanics

Syllabus of lectures:

Rheological models, Kelvin's-Voigt's material, Maxwell's material, viscoelastic materials, heat conduction in viscous materials, Calusius-Duhem inequality

Syllabus of tutorials:

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Study Objective:

The aim of the course is to introduce students into elasticity and rheological models in thermomechanics.

Study materials:

Ciarlet, P. G. (1988). Mathematical elasticity. Vol. I, Volume 20 of

Studies in Mathematics and its Applications. Amsterdam:

North-Holland Publishing Co. Three-dimensional elasticity.

Gurtin, M. E., E. Fried, and L. Anand (2010). The mechanics and

thermodynamics of continua. Cambridge: Cambridge

University Press.

Šilhavý, M. (1997). The mechanics and thermodynamics of continuous

media. Texts and Monographs in Physics. Berlin: Springer-Verlag.

Note:

Further information:

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Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans: