# Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity

ESAIM: Control, Optimisation and Calculus of Variations (2014)

- Volume: 20, Issue: 3, page 725-747
- ISSN: 1292-8119

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topDavoli, Elisa. "Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity." ESAIM: Control, Optimisation and Calculus of Variations 20.3 (2014): 725-747. <http://eudml.org/doc/272819>.

@article{Davoli2014,

abstract = {The subject of this paper is the rigorous derivation of reduced models for a thin plate by means of Γ-convergence, in the framework of finite plasticity. Denoting by ε the thickness of the plate, we analyse the case where the scaling factor of the elasto-plastic energy per unit volume is of order ε2α−2, with α ≥ 3. According to the value of α, 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.},

author = {Davoli, Elisa},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {finite plasticity; thin plates; Γ-convergence; -convergence; compactness; minimizer; three-dimensional energy},

language = {eng},

number = {3},

pages = {725-747},

publisher = {EDP-Sciences},

title = {Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity},

url = {http://eudml.org/doc/272819},

volume = {20},

year = {2014},

}

TY - JOUR

AU - Davoli, Elisa

TI - Linearized plastic plate models as Γ-limits of 3D finite elastoplasticity

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2014

PB - EDP-Sciences

VL - 20

IS - 3

SP - 725

EP - 747

AB - The subject of this paper is the rigorous derivation of reduced models for a thin plate by means of Γ-convergence, in the framework of finite plasticity. Denoting by ε the thickness of the plate, we analyse the case where the scaling factor of the elasto-plastic energy per unit volume is of order ε2α−2, with α ≥ 3. According to the value of α, 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.

LA - eng

KW - finite plasticity; thin plates; Γ-convergence; -convergence; compactness; minimizer; three-dimensional energy

UR - http://eudml.org/doc/272819

ER -

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