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Course, academic year 2023/2024
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Mathematical Methods in Solid State Continuum Mechanics 1 - NMOD040
Title: Matematické metody v mechanice kontinua tuhých látek 1
Guaranteed by: Mathematical Institute of Charles University (32-MUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Martin Kružík, Ph.D., DSc.
Classification: Mathematics > Mathematical Modeling in Physics
Interchangeability : NMMO404
Is incompatible with: NMMO404
Is interchangeable with: NMMO404
Annotation -
Last update: T_MUUK (24.05.2006)
Basic mathematical methods for analysis of boundary- and initial-value problems arising in mechanics of solids.
Syllabus -
Last update: Mgr. Josef Kružík, Ph.D. (30.04.2007)

Large strains, hyperelasticity, Cauchyho, Piola-Kirchhoff and Kirchhoff stress, static boundary-value problems and their weak formulations, existence of weak solutions for materials with polyconvex or quasiconvex energies (e.g. Ogden or Mooney-Rivlin materials), non-quasiconvex materials (e.g. Saint-Venant-Kirchhoff type) and creation of microstructures.

Special case of small deformations, Korn's inequality.

 
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