Skip to main content
Skip header
Ukončeno v akademickém roce 2014/2015

Mechanics of Continuum

Type of study Doctoral
Language of instruction Czech
Code 339-0920/02
Abbreviation MK
Course title Mechanics of Continuum
Credits 10
Coordinating department Department of Mechanics of Materials
Course coordinator prof. Ing. Jiří Lenert, CSc.

Osnova předmětu

Specifically, the following issues are discussed : stress and strain tensor ,
transformation tensor components , the main components of a tensor, determining the principal planes ,
invariants of the stress tensor and deformation. Mohr's circle for stress and strain .
Physical linear equations elastomechaniky orthotropic material , isotropic
material , plane strain condition , plane stress state , energy principles ,
work and potential energy , complementary energy principle of virtual work ,
boundary conditions. Equilibrium equations, compatibility conditions , equilibrium equations
feeds in folders , folders solutions through feeds . some problems
planar and spatial elastomechaniky . Torsion bars with constant circular
section, bending of prismatic bars , center of shear , bending stress plates,
torsion of prismatic rods of non-circular cross-section , membrane analogy , the function
voltage , the voltage distribution in the rotationally symmetrical bodies , the circular cylinder,
rotating ring strain of rotationally symmetric plates , thermal stresses.
Fundamentals of mechanics of materials komozitních . Types of material , homogeneous,
heterogeneous , anisotropic and isotropic , anisotropic , orthotropic material
material response , cutting composite materials , lamina , laminate , basic
lamina properties , degree of anisotropy of elastic behavior unidirectional lamina,
dependence of stress and strain , relations between the elastic constants and physical
constants , transformation tensor components of stress and strain , elastic behavior
multidirectional composite laminate layers constitutive equation , force and torque
resultant laminate layer symmetric laminate.

Povinná literatura

[1] TIMOSHENKO, S. P.-GOODIER, J. N.: Theory of elasticity. New York-Toronto-
London: Mc Graw-Hill, 1951, 3.ed.1970.
[2] LEIPHOLZ, H.:Theory of elasticity. Noordhoff International Publishing Leyden, 1974. ISBN 90 286 0193 7

Doporučená literatura

[1] TIMOSHENKO, S. P.-GOODIER, J. N.: Theory of elasticity. New York-Toronto-
London: Mc Graw-Hill, 1951, 3.ed.1970.
[2] LEIPHOLZ, H.:Theory of elasticity. Noordhoff International Publishing Leyden, 1974. ISBN 90 286 0193 7