| bibtype |
J -
Journal Article
|
| ARLID |
0458557 |
| utime |
20240103212133.4 |
| mtime |
20160412235959.9 |
| WOS |
000371228400014 |
| SCOPUS |
84960366725 |
| DOI |
10.1137/15M1019647 |
| title
(primary) (eng) |
Perfect plasticity with damage and healing at small strains, its modeling, analysis, and computer implementation |
| specification |
| page_count |
27 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0255070 |
| ISSN |
0036-1399 |
| title
|
Siam Journal on Applied Mathematics |
| volume_id |
76 |
| volume |
1 (2016) |
| page_num |
314-340 |
| publisher |
| name |
SIAM Society for Industrial and Applied Mathematics |
|
|
| keyword |
Prandtl-Reuss perfect plasticity |
| keyword |
bounded-deformation space |
| keyword |
incomplete damage |
| author
(primary) |
| ARLID |
cav_un_auth*0243096 |
| name1 |
Roubíček |
| name2 |
Tomáš |
| full_dept (cz) |
D 2 - Termodynamika |
| full_dept (eng) |
D 2 - Thermodynamics |
| institution |
UT-L |
| full_dept |
D2 – Thermodynamics |
| fullinstit |
Ústav termomechaniky AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0292941 |
| name1 |
Valdman |
| name2 |
Jan |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GA13-18652S |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0292653 |
|
| project |
| project_id |
GA14-15264S |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0304434 |
|
| abstract
(eng) |
The quasistatic, Prandtl-Reuss perfect plasticity at small strains is combined with a gradient, reversible (i.e., admitting healing) damage which influences both the elastic moduli and the yield stress. Existence of weak solutions of the resulting system of variational inequalities is proved by a suitable fractional-step discretization in time with guaranteed numerical stability and convergence. After finite-element approximation, this scheme is computationally implemented and illustrative two-dimensional simulations are performed. The model allows, e.g., for application in geophysical modeling of reoccurring rupture of lithospheric faults. Resulting incremental problems are solved in MATLAB by quasi-Newton method to resolve the elastoplasticity component of the solution, while the damage component is obtained by solving a quadratic programming problem. |
| reportyear |
2017 |
| RIV |
BA |
| mrcbC52 |
4 A hod 4ah 20231122141631.3 |
| inst_support |
RVO:67985556 |
| inst_support |
RVO:61388998 |
| permalink |
http://hdl.handle.net/11104/0258816 |
| mrcbC64 |
1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED |
| confidential |
S |
| mrcbC86 |
1* Article Mathematics Applied |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-j |
1.091 |
| mrcbT16-s |
1.068 |
| mrcbT16-4 |
Q2 |
| mrcbT16-B |
82.769 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1 |
| arlyear |
2016 |
| mrcbTft |
\nSoubory v repozitáři: valdman-0458557.pdf |
| mrcbU14 |
84960366725 SCOPUS |
| mrcbU34 |
000371228400014 WOS |
| mrcbU63 |
cav_un_epca*0255070 Siam Journal on Applied Mathematics 0036-1399 1095-712X Roč. 76 č. 1 2016 314 340 SIAM Society for Industrial and Applied Mathematics |
|