Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity. (25th June 2014)

• Record Type: Journal Article
• Authors: Davoli, Elisa
• Is Part Of: ESAIM. Volume 20:Number 3(2014:Jul.)
• Page Start: 725
• Page End: 747
• Publication Date: 2014-06-25
• Subjects: System analysis -- Periodicals; Calculus of variations -- Periodicals; Mathematical analysis -- Periodicals; Mathematical optimization -- Periodicals; Control theory -- Periodicals; 515.64
• DOI: 10.1051/cocv/2013081
• Languages: English
• ISSNs: 1292-8119

Abstract

<abstract abstract-type="normal" xml:lang="en"> <title> <x content-type="archive" xml:space="preserve">Abstract</x> </title> <p>The subject of this paper is the rigorous derivation of reduced models for a thin plate by means of <italic>Γ</italic>-convergence, in the framework of finite plasticity. Denoting by <italic>ε</italic> the thickness of the plate, we analyse the case where the scaling factor of the elasto-plastic energy per unit volume is of order <italic>ε</italic>^{2<italic>α</italic>−2}, with <italic>α</italic> ≥ 3. According to the value of <italic>α</italic>, partially or fully linearized models are deduced, which correspond, in the absence of plastic deformation, to the Von Kármán plate theory and the linearized plate theory. </p> </abstract>