Numerical Modelling

Lecturer:

Tutor:

Supervisor:

Department of Mechanics

Synopsis:

Modern numerical methods for the simulation

of structural response to severe loadings up to failure.

Basic constitutive frameworks (plasticity, damage mechanics,

smeared crack and microplane models) and their implementation

in finite element programs.

Nonlinear material behavior including softening effects due to

propagating microdefects.

Requirements:

none

Syllabus of lectures:

1. Review of continuum mechanics

2. Review of nonlinear finite element procedures

3. Plasticity theory

4. Computational plasticity

5. Isotropic damage mechanics

6. Anisotropic damage mechanics and smeared crack models

7. Microplane models

8. Strain localization and material stability

9. Nonlocal damage mechanics

10. Nonlocal plasticity

11. Gradient models

12. Cohesive crack models

13. Extended finite element methods

14. Meshless methods

Syllabus of tutorials:

Study Objective:

Students will get acquainted with modern numerical methods for the simulation of structural behaviour under severe loadings up to failure, based on plasticity, fracture and damage mechanics, smeared crack and microplane models.

Study materials:

1. M.Jirasek and Z.P.Bazant: Inelastic Analysis of Structures, Wiley 2001. 2. Z.P.Bazant and J.Planas: Fracture and Size Effect in Concrete and Other Quasibrittle Materials, CRC Press, 1998. 3. M.Jirasek: Numerical Modeling of Deformation and Failure of Materials, lecture notes 2002.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: