SubjectsSubjects(version: 850)
Course, academic year 2019/2020
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Themodynamics and Mechanics of Solids - NMMO404
Title in English: Termodynamika a mechanika pevných látek
Guaranteed by: Mathematical Institute of Charles University (32-MUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2014 to 2019
Semester: summer
E-Credits: 5
Hours per week, examination: summer s.:2/1 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: doc. 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
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. (12.06.2019)

The credit for tutorials must be obtained before the exam takes place and it is given based on active participation in the tutorials and successful solution of the homeworks. The exam is oral and the students are granted time for preparation.

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: doc. 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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