Variational Principles in Continuum and Structural Mechanics

Kód předmětu: 132VPCM
Garant předmětu: prof. Ing. Milan Jirásek, DrSc.
Zakončení předmětu: Z,ZK
Počet kreditů: 5 kred.
Rozsah výuky: 2+1

Anotace	(semestr B232)
Students will be guided to explore the general structure of discrete, continuum and discretized models used in linear and nonlinear statics and dynamics of structures (beams, frames, plates) and solid bodies. Emphasis will be placed on the universal nature of the underlying fundamental principles, such as the principle of virtual work (or power) and variational principles (Lagrange, Castigliano, Hellinger-Reissner, Hu-Washizu, Hashin-Shtrikman, Hamilton), and on the duality between static and kinematic equations/operators. Tensorial notation will be introduced and used throughout the course.
Obsah
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Literatura
[1] Lecture notes prepared by the instructor [2] M. Jirásek, Z. P. Bažant: Inelastic Analysis of Structures, Wiley 2002 [3] M. Itskov: Tensor Algebra and Tensor Analysis for Engineers, Springer 2013
Návaznosti
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Studijní plány
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