Nonlinear mechanics

Lecturer:

Tutor:

Supervisor:

Department of Mechanics

Synopsis:

Limit states of rigid-plastic structures

and their applications. Methods for systems of non-linear

finite element equations.Plasticity and damage based material

models, algorithms for finite steps, treatment of strain

localization. Specific discretization problems and models for

plates and shells.

Requirements:

none

Syllabus of lectures:

1. Introduction

2. Plastic limit states principles, rigid-plastic analysis

3. Rigid-plastic analysis applications

4. Non-linear finite element analysis, stiffness matrices, Newton-Raphson iteration

5. Non-linear dynamic problems, transient loads, explicit time integration and its application to quasi-static problems.

6. Path-finding algorithms, limit and bifurcation points

7. Plasticity material models in FEM solutions

8. Some plasticity models, return mapping

9. Damage material models in FEM solutions

10. Concrete material models

11. Quasi-brittle materials, strain localization

12. Mindlin hypothesis and layer models of plates and shells

13. Lateral shear failure in layer models of concrete plate and shells

14. Integral cross-section models for steel shells

Syllabus of tutorials:

Study Objective:

Students will acquire the minimum background for the use of non-linear finite element codes.

Study materials:

1. Bathe, K.J.: Finite element procedures, Prentice Hall, New Jersey, 1996., 2. Jirásek, M., Bažant, Z.: Inelastic analysis of structures, John 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: