| Title:
|
Reliable computation and local mesh adaptivity in limit analysis (English) |
| Author:
|
Sysala, Stanislav |
| Author:
|
Haslinger, Jaroslav |
| Author:
|
Repin, Sergey |
| Language:
|
English |
| Journal:
|
Programs and Algorithms of Numerical Mathematics |
| Volume:
|
Proceedings of Seminar. Hejnice, June 24-29, 2018 |
| Issue:
|
2018 |
| Year:
|
|
| Pages:
|
149-158 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The contribution is devoted to computations of the limit load for a perfectly plastic model with the von Mises yield criterion. The limit factor of a prescribed load is defined by a specific variational problem, the so-called limit analysis problem. This problem is solved in terms of deformation fields by a penalization, the finite element and the semismooth Newton methods. From the numerical solution, we derive a guaranteed upper bound of the limit factor. To achieve more accurate results, a local mesh adaptivity is used. (English) |
| Keyword:
|
limit analysis |
| Keyword:
|
von Mises yield criterion |
| Keyword:
|
penalization |
| Keyword:
|
finite element method |
| Keyword:
|
Newton-like method |
| Keyword:
|
local mesh adaptivity |
| MSC:
|
49M15 |
| MSC:
|
74C05 |
| MSC:
|
74S05 |
| MSC:
|
90C25 |
| DOI:
|
10.21136/panm.2018.16 |
| . |
| Date available:
|
2019-04-29T13:38:32Z |
| Last updated:
|
2023-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703077 |
| . |
