Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes

Abstract: We identify effective models for thin, linearly elastic and perfectly plastic plates exhibiting a microstructure resulting from the periodic alternation of two elastoplastic phases. We study here both the case in which the thickness of the plate converges to zero on a much faster scale than the periodicity parameter and the opposite scenario in which homogenization occurs on a much finer scale than dimension reduction. After performing a static analysis of the problem, we show convergence of the corresponding quasistatic evolutions. The methodology relies on two-scale convergence and periodic unfolding, combined with suitable measure-disintegration results and evolutionary Γ-convergence.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes ; volume:17 ; number:4 ; year:2024 ; pages:1399-1444 ; extent:46 ; Advances in calculus of variations ; 17, Heft 4 (2024), 1399-1444 (gesamt 46)

Contributors, Places and Time

• Creator: Bužančić, Marin ; Davoli, Elisa ; Velčić, Igor

Further information

• DOI: 10.1515/acv-2023-0020
• URN: urn:nbn:de:101:1-2410041540359.802038898349
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 15.08.2025, 7:23 AM CEST