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Course, academic year 2023/2024
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Thermodynamics and Mechanics of Solids - NMMO404
Title: Termodynamika a mechanika pevných látek
Guaranteed by: Mathematical Institute of Charles University (32-MUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2022
Semester: summer
E-Credits: 5
Hours per week, examination: summer s.:2/1, C+Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
Virtual mobility / capacity: no
State of the course: taught
Language: English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Martin Kružík, Ph.D., DSc.
RNDr. Ondřej Souček, Ph.D.
Class: M Mgr. MOD
M Mgr. MOD > Povinné
Classification: Mathematics > Mathematical Modeling in Physics
Incompatibility : NMOD040
Interchangeability : NMOD040
Is interchangeable with: NMOD040
Annotation -
Last update: T_MUUK (14.05.2013)
Basic mathematical methods for analysis of boundary- and initial-value problems arising in mechanics of solids.
Course completion requirements -
Last update: RNDr. Ondřej Souček, Ph.D. (30.04.2020)

The credits for tutorials must be obtained before the exam takes place and are given based on successful solution of the homeworks.

The exam will be possible in two variants:

1) Presence variant: The exam is oral and the students are granted time for preparation.

2) Distance variant: The exam tasks are sent to students by email, they send back the solution after a given time. This is followed by discussion via zoom, skype, etc, with possible additional questions.

Literature -
Last update: T_MUUK (27.04.2016)

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.

Syllabus -
Last update: prof. RNDr. Martin Kružík, Ph.D., DSc. (06.01.2014)

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

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