Mathematics: linear algebra, matrix notation, functions of one and more variables, calculus, ordinary and partial differential equations. Basic knowledge of static (especially equations of static equilibrium and free body diagrams) and mechanics of materials (stress and strain tensors, elasticity theory of bars, plasticity criteria).
Vyučující
Ing. Michel MAYA, Ph.D.
Stručná anotace předmětu
An advanced course of stress-strain analyses., including the elastic and plastic deformation of materials, strength limits, brittle fracture criterion and elements of fracture mechanics and fatigue: basic material characteristics, basic methods of fatigue analysis. General theory of elasticity - stress, strain and displacement of an element of continuum.
Osnova předmětu
General theory of elasticity - stress, strain and displacement of an element of continuum. Equations of equilibrium, compatibility, constitutive equations and boundary conditions. Closed form solutions of elementary problems: thick walled cylinder, rotating disc, axisymmetrical plate, cylindrical shell with bending, axisymmetrical membrane shell. Introduction to numerical analysis of elastic bodies by the FEM. Experimental methods - overview.
Studijní literatura a studijní pomůcky
Literatura - základní:
1. M. BELLET P. MONTMITONNET E. MASSONI J.L. CHENOT Séminaire de plasticité et mise en forme des métaux. C.E.M.E.F. 1990
2. M. BOIVIN Cours de plasticité. I.N.S.A. LYON.1983-1984
3. Timoshenko,S.P., Goodier,J.N.: Theory of Elasticity,McGraw-Hill, New York, 1970
4. Timoshenko,S.P., Woinowsky-Krieger,S.: Theory of Plates and Shells,McGraw-Hill, New York, 1959