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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Theory of Elasticity and Plasticity

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Code Completion Credits Range
W11A005 ZK 60
Lecturer:
Dušan Gabriel, Miroslav Španiel (guarantor)
Tutor:
Dušan Gabriel, Miroslav Španiel (guarantor)
Supervisor:
Department of Mechanics, Biomechanics and Mechatronics
Synopsis:

Subject is focused as a general introduction to linear and nonlinear solid mechanics with a special view to not only basic principles, but modern elasto-plasticity solutions as well.

Requirements:

Physical causes of elastic and plastic deformations,

Model of continuum,

Stress and strain tensors,

Index notation,

Deviatoric decomposition,

Hooke?s law,

Differential equilibrium equations,

Virtual work principle,

Tensile diagrams,

Constitutive relations,

Yield conditions,

Stress-strain curves,

Flow theories,

Hardening rules,

Residual stresses,

Plasticity in design and metal-forming processes,

FEM simulations and principles.

Syllabus of lectures:

Outline and Sylabus:

Physical causes of elastic and plastic deformations,

Model of continuum,

Stress and strain tensors,

Index notation,

Deviatoric decomposition,

Hooke?s law,

Differential equilibrium equations,

Virtual work principle,

Tensile diagrams,

Constitutive relations,

Yield conditions,

Stress-strain curves,

Flow theories,

Hardening rules,

Residual stresses,

Plasticity in design and metal-forming processes,

FEM simulations and principles.

Syllabus of tutorials:

Introduction to modern elasto-plasticity theory

Study Objective:
Study materials:

Dunne, F., Petrinic, N. Introduction to Computational Plasticity, Oxford University Press, 2005.

Khan, A.S., Huang, S., Continuum Theory of Plasticity, Wiley & Sons, 1995.

Bathe, K.J. Finite Element Procedures, Prentice-Hall, 1996.

Belytschko, T. et al. Nonlinear Finite Elements for Continua and Structures. Wiley & Sons, 2001.

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 2019-10-16
For updated information see http://bilakniha.cvut.cz/en/predmet10870002.html