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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Continuum Mechanics

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Code Completion Credits Range
W11F003 ZK 60
Lecturer:
Jiří Plešek (guarantor)
Tutor:
Jiří Plešek (guarantor)
Supervisor:
Department of Mechanics, Biomechanics and Mechatronics
Synopsis:

Elementar continuum mechanics-kinematics and fundamental laws. Mechanics of solids-thermoelasticity, hypoelasticity, objective rates. Inviscid and viscous fluids flow, shock waves. Examples.

Requirements:

Elementar courses of mechanics, elasticity and strength of materials, fluid dynamics and thermodynamics. Mathematics-analysis, tensor calculus.

Syllabus of lectures:

-Kinematics: Lagrangean and Eulerean descriptions, deformation gradient, multiplicative decomposition, strain tensors, material derivative, velocity gradient.

-Fundamental laws: mass conservation, balance of linear and angular momentum, balance of energy, entropy, Clausius-Duhem inequality, dissipation inequality.

-Mechanics of solids:coupled problem of thermo-elasticity and heat conduction under finite strains, hypo-elasticity, objective rates (Jaumann, Green-Naghdi, Oldroyd).

-Mechanics of fluids: inviscid flow (Euler), shock waves (Hugoniot), viscous flow (Newton-Stokes, Navier-Stokes, Reynolds).

-More than 120 worked out examples.

Syllabus of tutorials:

Introduction of continuum mechanics as general frame for description of mechanical response of bodies. Formulation of basic laws and their application on particular problems of solid and fluid dynamics.

Study Objective:
Study materials:

[1]Chandrasekharaiah, D.S., Lokenath Debnath: Continuum Mechanics. Academic Press, San Diego 1994.

[2] Gurtin, M.E.: An Introduction to Continuum Mechanics. Academic Press, San Diego 1981

Note:
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2019-12-06
For updated information see http://bilakniha.cvut.cz/en/predmet10870402.html