Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure

An effective model is identified for thin perfectly plastic plates whose microstructure consists of the periodic assembling of two elastoplastic phases, as the periodicity parameter converges to zero. Assuming that the thickness of the plates and the periodicity of the microstructure are comparably...

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2024-05, Vol.63 (4), Article 93
Main Authors: Bužančić, Marin, Davoli, Elisa, Velčić, Igor
Format: Article
Language:English
Subjects:
Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Convergence
Elastoplasticity
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Microstructure
Plastic plates
Systems Theory
Theoretical
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Summary:An effective model is identified for thin perfectly plastic plates whose microstructure consists of the periodic assembling of two elastoplastic phases, as the periodicity parameter converges to zero. Assuming that the thickness of the plates and the periodicity of the microstructure are comparably small, a limiting description is obtained in the quasistatic regime via simultaneous homogenization and dimension reduction by means of evolutionary Γ -convergence, two-scale convergence, and periodic unfolding.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-024-02693-w