Theory of Plasticity of Finite Strains

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Mechanics, Biomechanics and Mechatronics

Synopsis:

Subject is focused as a general introduction nonlinear solid mechanics with a special view to modern plasticity problem solution.

Requirements:

Model of continua - basic principles,

Lagrangean and Eulerian description,

Deformation gradient - multiplicative decomposition,

Strain tensors,

Stress tensors,

Material derivative,

Velocity gradient,

Objective derivatives (Jaumann, Green-Naghdi, Oldroyd),

Tensile diagrams,

Constitutive relations,

Yield conditions,

Stress-strain curves,

Flow theories,

Hardening rules,

Non-linear FEM.

Syllabus of lectures:

Model of continua - basic principles,

Lagrangean and Eulerian description,

Deformation gradient - multiplicative decomposition,

Strain tensors,

Stress tensors,

Material derivative,

Velocity gradient,

Objective derivatives (Jaumann, Green-Naghdi, Oldroyd),

Tensile diagrams,

Constitutive relations,

Yield conditions,

Stress-strain curves,

Flow theories,

Hardening rules,

Non-linear FEM.

Syllabus of tutorials:

Introduction to modern plasticity of finite strains.

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: