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
page_count 11 s.
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
name AIMS Press
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
url http://library.utia.cas.cz/separaty/2013/MTR/kruzik-modelling of wheat-flour dough mixing as an open-loop hysteretic process.pdf
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
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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