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Lecturer(s)
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Fürst Tomáš, RNDr. Ph.D.
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Vodák Rostislav, RNDr. Ph.D.
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Course content
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A. Elasticity primer: Elasticity in single space dimension Lame equations will be derived from physical principles in 1D Existence, uniqueness and stability of the solution several methods for numerical solution B. Linear elasticity in 3D Lame equations in 3D virtual work principle and the weak formulation proof of the existence, uniqueness and stability of the weak solution in 3D
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Learning activities and teaching methods
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Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
- Attendace
- 52 hours per semester
- Semestral Work
- 25 hours per semester
- Preparation for the Exam
- 45 hours per semester
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Learning outcomes
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Understand the mathematical tools for continuum description
Application Apply differential and intergral calculus of functions of several variables to flow modeling and elasticity.
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Prerequisites
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Classical calculus
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Assessment methods and criteria
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Oral exam, Seminar Work
Credit: course work. Exam (combined): written test - examples, oral exam.
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Recommended literature
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C. Truesdell. (1975). A first course in rational mechanics (v ruštině). Izdatelstvo Mir, Moskva.
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D. E. Carlson. (1972). Linear Thermoelasticity Encyclopedia of Physics VIa/2. Springer-Verlag Berlin.
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Feynmann R.P. (2003). Feynmannovy přednášky z fyziky I.-III.. Fragment.
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G. Duvaut, J. L. Lions. (1976). Inequalities in Mechanics and Physics. Springer, Berlin.
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J. Haslinger, I. Hlaváček, J. Nečas, J. Lovíšek. (1982). Riešenie variačných nerovností v mechanike. ALFA Bratislava.
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J. Kopáček. (2001). Matematická analýza pro fyziky III. Matfyzpress.
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J. Nečas, I. Hlaváček. (1983). Úvod do matematické teorie pružných a pružně plastických těles. SNTL, Praha.
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M. E. Gurtin. (1981). An Introduction to Continuum mechanics. Academic Press, New York.
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M. E. Gurtin. (1972). The linear theory of elasticity, Encyclopedia of Physics, VIa. Springer-Verlag, Berlin.
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P. G. Ciarlet. (1986). Mathematical Elasticity, Volume I.: Three-dimensional elasticity. Elsevier Amsterdam.
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P. G. Ciarlet. (1997). Mathematical Elasticity, Volume II.: Theory of plates. Elsevier Amsterdam.
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