Advanced course on Modeling of Localized Inelastic Deformation taught by Milan Jirásek in Prague, Czech Republic, on 13-17 September 2004

The 2004 course was attended by 25 participants from Austria, Denmark, France, Germany, The Netherlands, Portugal, Spain, Sweden, Switzerland and the Czech Republic. On Wednesday evening we dined together in "Vojan's Yard" and the photograph below shows that everybody had a good time. 

click on the picture to enlarge it

Contents

• Introduction: classification of models for inelastic material behavior, notation, fundamentals of tensor algebra, principles of incremental-iterative nonlinear analysis.
• Elastoplasticity: physical motivation, basic equations in one dimension, extension to multiaxial stress, stress-return algorithms, algorithmic (consistent) stiffness tensor, multi-surface plasticity.
• Damage mechanics: physical motivation, basic equations in one dimension, isotropic damage models, smeared crack models, anisotropic damage models based on principle of energy equivalence, damage deactivation due to crack closure, combination of damage and plasticity.
• Strain localization: physical aspects, structural size effect, conditions of stability and uniqueness, discontinuous bifurcation, localization analysis based on acoustic tensor, loss of ellipticity and its mathematical and numerical consequences.
• Regularized continuum models: classification of enriched continuum theories, nonlocal formulations of the integral type, explicit and implicit gradient formulations, continua with microstructure, localization analysis, implementation aspects, application examples.
  
• Strong discontinuity models: constitutive description of a cohesive discontinuity, finite elements with incorporated discontinuities (embedded crack models, extended finite elements). Certain participants asked for the PDF file with the last presentation, so here it is.

Level

• The course is designed for graduate students on the doctoral level, but it can also be useful for motivated masters students, post-doctoral researchers, or senior researchers who are not specialists in this field. Similar courses were given by the lecturer at the Swiss Federal Institute of Technology in Lausanne (1998), Czech Technical University in Prague (1998), Universität Stuttgart (1998), Rheinisch-Westfälische Technische Hochschule in Aachen (1999), Universität der Bundeswehr in Munich (2000), and Universitat Politècnica de Catalunya in Barcelona (2002).
• Prerequisites: basics of elasticity and finite element methods.

Schedule

• Registration on Monday, September 13, from 8:15-9:00.
• Morning sessions 9:00-10:15 and 10:30-11:45.
• Afternoon sessions 14:00-15:15 and 15:30-16:45 (i.e., 2-3:15pm and 3:30-4:45pm).

Venue

• Here you can download simple maps showing the
• Faculty of Civil Engineering
• Czech Technical University
• City district Prague - Dejvice
• City of Prague