| Title:
|
Path-following the static contact problem with Coulomb friction (English) |
| Author:
|
Haslinger, Jaroslav |
| Author:
|
Janovský, Vladimír |
| Author:
|
Kučera, Radek |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2013 |
| Volume:
|
Proceedings. Prague, May 15-17, 2013 |
| Issue:
|
2013 |
| Year:
|
|
| Pages:
|
104-116 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Consider contact problem with Coulomb friction on two planar domains. In order to find non-unique solutions we propose a new path following algorithm: Given a linear loading path we approximate the corresponding solution path. It consists of oriented piecewise linear branches connected by transition points. We developed a) predictor-corrector algorithm to follow oriented linear branches, b) branching and orientation indicators to detect transition points. The techniques incorporate semi-smooth Newton iterations and inactive/active set strategy on the contact zone. (English) |
| Keyword:
|
contact |
| Keyword:
|
Coulomb friction |
| Keyword:
|
Signorini problem |
| Keyword:
|
finite element method |
| Keyword:
|
projection |
| Keyword:
|
semi-smooth Newton method |
| Keyword:
|
path-following algorithm |
| MSC:
|
65N30 |
| MSC:
|
74M10 |
| MSC:
|
74M15 |
| MSC:
|
74S05 |
| idZBL:
|
Zbl 1340.74071 |
| idMR:
|
MR3204435 |
| . |
| Date available:
|
2017-02-14T09:15:43Z |
| Last updated:
|
2017-03-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702936 |
| . |
