Theory of Elasticity and Plasticity

Course guarantor:

Lecturer:

Tutor:

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:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: