bibtype |
J -
Journal Article
|
ARLID |
0388861 |
utime |
20240103202136.9 |
mtime |
20130207235959.9 |
WOS |
000312737100002 |
DOI |
10.3934/dcdsb.2013.18.283 |
title
(primary) (eng) |
Modelling of Wheat-Flour Dough Mixing as an Open-Loop Hysteretic Process |
specification |
|
serial |
ARLID |
cav_un_epca*0257845 |
ISSN |
1531-3492 |
title
|
Discrete and Continuous Dynamical Systems-Series B |
volume_id |
18 |
volume |
2 (2013) |
page_num |
283-293 |
publisher |
|
|
keyword |
Dissipation |
keyword |
Dough mixing |
keyword |
Rate-independent systems |
author
(primary) |
ARLID |
cav_un_auth*0289083 |
name1 |
Anderssen |
name2 |
R. |
country |
AU |
|
author
|
ARLID |
cav_un_auth*0101142 |
name1 |
Kružík |
name2 |
Martin |
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 |
IAA100750802 |
agency |
GA AV ČR |
ARLID |
cav_un_auth*0241214 |
|
abstract
(eng) |
Motivated by the fact that various experimental results yield strong confirmatory support for the hypothesis that "the mixing of a wheat-flour dough is essentially a rate-independent process", this paper examines how the mixing can be modelled using the rigorous mathematical framework developed to model an incremental time evolving deformation of an elasto-plastic material. Initially, for the time evolution of a rate-independent elastic process, the concept is introduced of an /emph{„energetic solution“} /cite{mtl} as the characterization for the rate-independent deformations occurring. The framework in which it is defined is formulated in terms of a polyconvex stored energy density and a multiplicative decomposition of large deformations into elastic and nonelastic components. The mixing of a dough to peak dough development is then modelled as a sequence of incremental elasto-nonelastic deformations. For such incremental processes, the existence of Sobolev solutions is guaranteed. |
reportyear |
2013 |
RIV |
BA |
num_of_auth |
2 |
permalink |
http://hdl.handle.net/11104/0217941 |
mrcbT16-e |
MATHEMATICSAPPLIED |
mrcbT16-f |
0.937 |
mrcbT16-g |
0.206 |
mrcbT16-h |
5.0 |
mrcbT16-i |
0.00627 |
mrcbT16-j |
0.665 |
mrcbT16-k |
962 |
mrcbT16-l |
131 |
mrcbT16-s |
0.847 |
mrcbT16-z |
ScienceCitationIndex |
mrcbT16-4 |
Q2 |
mrcbT16-B |
54.739 |
mrcbT16-C |
33.665 |
mrcbT16-D |
Q2 |
mrcbT16-E |
Q2 |
arlyear |
2013 |
mrcbU34 |
000312737100002 WOS |
mrcbU63 |
cav_un_epca*0257845 Discrete and Continuous Dynamical Systems-Series B 1531-3492 1553-524X Roč. 18 č. 2 2013 283 293 AIMS Press |
|