Course code: wb1400
Course name: Theory of Plasticity

DUT creditpoints: 2
ECTS creditpoints: 3
Faculty of Mechanical Engineering and Marine Technology
Lecturer(s): Giessen, prof.dr.ir. E. van der Tel.: 015-278 6500
Catalog data:
Continuum mechanics, plasticity, thermoelasticity, creep, numerical aspects, fraction model, natural reference state		 Course year: 3, 4
Period: 0/0/0/2/2
Hours p/w: 2
Other hours: 2
Assessment: Exercises + oral examination
Assessm.period(s): by appointment
(see academic calendar)
Prerequisites: wb1410
Follow up: none
Detailed description of topics:
This course is concerned with the modelling of the inelastic behaviour of structural materials, in particular metals. The most important types of inelasticity are time-independent plasticity and creep. The emphasis in this course is on the (mathematical) modelling and its application in, for instance, finite element computational schemes.Within a general framework for such so-called constitutive models, the models are developed step-by-step, every time motivated by the pertinent fysical deformation mechanisms. A number of models for creep and plasticity that are relevant for the engineering applications are discussed in detail. The considerations are mainly for small deformations, but aspects of modelling for large deformations, such as during forming processes, are discussed briefly.
The main subjects are:
  • mathematical notation and recapitulation of continuum mechanics;
  • phenomenology, and physical aspects of plasticity and creep (in metals);
  • thermodynamic framework for constitutive models;
  • elementary constitutive models for plasticity (Von Mises, Tresca, Norton, isotropic hardening);
  • numerical aspects for application in finite element computations;
  • fraction models for an improved description (anisotropic hardening, relaxation);
  • introduction to large strain models.
Course material:
J.F. Besseling and E. van der Giessen, Mathematical Modelling of Inelastic Deformation, Chapman & Hall, 1993 (ISBN 0 412 45280 4)
References from literature:
J.F. Besseling and E. van der Giessen, Mathematical Modelling of Inelastic Deformation, Chapman & Hall, 1993 (ISBN 0 412 45280 4)
Remarks (specific information about assesment, entry requirements, etc.):
oral examination
Goals:
The purpose of this course is to provide a thorough understanding of and insight into the fundamentals of contemporary constitutive models for plasticity and creep, as well as of their application in numerical computations. Approaching the subject within a general continuum thermodynamic framework, the common features of the various available models are emphasized and put into perspective. A number of the more generally accepted models is treated in detail.
Computer use:
The course addresses in some depth the numerical aspects of the application of models of inelastic deformation in finite element computations. The exercises for the report are designed to stimulate the use of computers for solving the problems.
Laboratory project(s):
Design content: The course deals with methods for the analysis of engineering designs.
Percentage of design: 25%