Corners in Plasticity - Koiter's Theory Revisited
Author
Summary, in English
A general theory for plastic loading at corners is presented that includes Koiter's theory as a special case. This theory is derived within a thermodynamic framework and includes non-associated as well as associated theory. The non-associated theory even allows the number of potential functions to differ from the number of yield functions. The properties of the matrix of plastic moduli as well as of another important matrix are discussed in detail and hardening, perfect and softening plasticity are concisely defined. The existence of limit points is also discussed.
The strain driven format turns out to be the most general. Moreover, consistent loading and unloading criteria are established for general non-associated plasticity. An explicit criterion for uniqueness is derived, and finally, some of the general findings are illustrated by means of specific plasticity formulations often encountered in practice.
The strain driven format turns out to be the most general. Moreover, consistent loading and unloading criteria are established for general non-associated plasticity. An explicit criterion for uniqueness is derived, and finally, some of the general findings are illustrated by means of specific plasticity formulations often encountered in practice.
Department/s
Publishing year
1996
Language
English
Pages
3697-3721
Publication/Series
International Journal of Solids and Structures
Volume
33
Issue
25
Document type
Journal article
Publisher
Elsevier
Topic
- Mechanical Engineering
Status
Published
ISBN/ISSN/Other
- ISSN: 0020-7683