0648729 20260415135353.520260415235959.9 001731812100001 10.1007/s00332-026-10254-y 32 s. P cav_un_epca*02539370938-897436Springer Gamma-convergence von Kármán theory Kirchhoff theory Pressure live loads Nonlinear elasticity Membranes cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0507663 Riva F. CZ K http://library.utia.cas.cz/separaty/2026/MTR/kruzik-0648729.pdf https://link.springer.com/article/10.1007/s00332-026-10254-y GA23-04766S GA ČR CZ cav_un_auth*0459138 8J24AT004 GA MŠk CZ cav_un_auth*0472831 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. WOS BA 10000 10100 10102 2027 RVO:67985556 https://hdl.handle.net/11104/0378097 cav_un_auth*0311018 Czech Technical University in Prague, Faculty of Civil Engineering ČVUT v Praze, FCE CZ cav_un_auth*0507664 Università Commerciale Luigi Bocconi, Dipartimento di Scienze delle Decisioni IT cav_un_auth*0507665 Charles University, Faculty of Mathematics and Physics, Department of Mathematical Analysis CZ S 37 C MATHEMATICS.APPLIED|MECHANICS|PHYSICS.MATHEMATICAL 2.9 0.7 6.4 0.00521 1.336 3183 70 1.272 45.57 2.54 819 Q1 2.500 113 Q1 77.7 1.05 Q1 90 2026 SCOPUS PUBMED 001731812100001 WOS cav_un_epca*0253937 Journal of Nonlinear Science Roč. 36 č. 2 2026 0938-8974 1432-1467 Springer