bibtype	J - Journal Article
ARLID	0648729
utime	20260415135353.5
mtime	20260415235959.9
WOS	001731812100001
DOI	10.1007/s00332-026-10254-y
title (primary) (eng)	The Effects of Pressure Loads in the Dimension Reduction of Elasticity Models
specification	page_count 32 s. media_type P
serial	ARLID cav_un_epca*0253937 ISSN 0938-8974 title Journal of Nonlinear Science volume_id 36 publisher name Springer
keyword	Gamma-convergence
keyword	von Kármán theory
keyword	Kirchhoff theory
keyword	Pressure live loads
keyword	Nonlinear elasticity
keyword	Membranes
author (primary)	ARLID cav_un_auth*0101142 name1 Kružík name2 Martin institution UTIA-B full_dept (cz) Matematická teorie rozhodování full_dept (eng) Department of Decision Making Theory department (cz) MTR department (eng) MTR full_dept Department of Decision Making Theory fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author	ARLID cav_un_auth*0507663 name1 Riva name2 F. country CZ garant K
source	url http://library.utia.cas.cz/separaty/2026/MTR/kruzik-0648729.pdf
source	url https://link.springer.com/article/10.1007/s00332-026-10254-y
cas_special	project project_id GA23-04766S agency GA ČR country CZ ARLID cav_un_auth*0459138 project project_id 8J24AT004 agency GA MŠk country CZ ARLID cav_un_auth*0472831 abstract (eng) We study the dimensional reduction from three to two dimensions in hyperelastic materials subject to a live load, modeled as a constant pressure force. Our results demonstrate that this loading has a significant impact in higher-order scaling regimes, namely those associated with von Kármán-type theories, where a nontrivial interplay between the elastic energy and the pressure term arises. In contrast, we rigorously show that in lower-order bending regimes, as described by Kirchhoff-type theories, the pressure load does not influence the minimizers. Finally, after identifying the corresponding Γ-limit, we conjecture that a similar independence from the pressure term persists in the most flexible membrane regimes. \n result_subspec WOS RIV BA FORD0 10000 FORD1 10100 FORD2 10102 reportyear 2027 inst_support RVO:67985556 permalink https://hdl.handle.net/11104/0378097 cooperation ARLID cav_un_auth*0311018 name Czech Technical University in Prague, Faculty of Civil Engineering institution ČVUT v Praze, FCE country CZ cooperation ARLID cav_un_auth*0507664 name Università Commerciale Luigi Bocconi, Dipartimento di Scienze delle Decisioni country IT cooperation ARLID cav_un_auth*0507665 name Charles University, Faculty of Mathematics and Physics, Department of Mathematical Analysis country CZ confidential S article_num 37 mrcbC91 C mrcbT16-e MATHEMATICS.APPLIED|MECHANICS|PHYSICS.MATHEMATICAL mrcbT16-f 2.9 mrcbT16-g 0.7 mrcbT16-h 6.4 mrcbT16-i 0.00521 mrcbT16-j 1.336 mrcbT16-k 3183 mrcbT16-q 70 mrcbT16-s 1.272 mrcbT16-y 45.57 mrcbT16-x 2.54 mrcbT16-3 819 mrcbT16-4 Q1 mrcbT16-5 2.500 mrcbT16-6 113 mrcbT16-7 Q1 mrcbT16-C 77.7 mrcbT16-M 1.05 mrcbT16-N Q1 mrcbT16-P 90 arlyear 2026 mrcbU14 SCOPUS mrcbU24 PUBMED mrcbU34 001731812100001 WOS mrcbU63 cav_un_epca*0253937 Journal of Nonlinear Science Roč. 36 č. 2 2026 0938-8974 1432-1467 Springer