| Title:
|
Implicit constitutive solution scheme for Mohr-Coulomb plasticity (English) |
| Author:
|
Sysala, Stanislav |
| Author:
|
Čermák, Martin |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Janov nad Nisou, June 19-24, 2016 |
| Issue:
|
2016 |
| Year:
|
|
| Pages:
|
120-129 |
| . |
| Category:
|
math |
| . |
| Summary:
|
This contribution summarizes an implicit constitutive solution scheme of the elastoplastic problem containing the Mohr-Coulomb yield criterion, a nonassociative flow rule, and a nonlinear isotropic hardening. The presented scheme builds upon the subdifferential formulation of the flow rule leading to several improvements. Mainly, it is possible to detect a position of the unknown stress tensor on the Mohr-Coulomb pyramid without blind guesswork. Further, a simplified construction of the consistent tangent operator is introduced. The presented results are important for an efficient solution of incremental boundary value elastoplastic problems. (English) |
| Keyword:
|
Mohr-Coulomb plasticity |
| Keyword:
|
implicit constitutive solution scheme |
| Keyword:
|
consistent tangent operator |
| MSC:
|
34L10 |
| MSC:
|
74C05 |
| MSC:
|
74D10 |
| MSC:
|
74L10 |
| MSC:
|
90C25 |
| DOI:
|
10.21136/panm.2016.15 |
| . |
| Date available:
|
2017-06-20T13:04:07Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703006 |
| . |