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

Elisa Davoli

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

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

Abstract

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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.

How to cite

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Davoli, 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 -

References

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