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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024
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Mechanics and Thermodynamics of Solids

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Code Completion Credits Range Language
D02MTK ZK Czech
Garant předmětu:
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:

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

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 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-05-29
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