Record link: 
http://hdl.handle.net/20.500.12708/209199
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Title: 
Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure
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Citation: 
Bužančić, M., Davoli, E., & Velčić, I. (2024). Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure. Calculus of Variations and Partial Differential Equations, 63(4), Article 93. https://doi.org/10.1007/s00526-024-02693-w
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Publisher DOI: 
10.1007/s00526-024-02693-w
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Bužančić, Marin 
Davoli, Elisa 
Velčić, Igor 
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Organisational Unit: 
E101-01-3 - Forschungsgruppe Mehrskalen Variationsrechnung 
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Journal: 
Calculus of Variations and Partial Differential Equations 
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ISSN: 
0944-2669
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Date (published): 
May-2024
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Number of Pages: 
56
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Publisher: 
SPRINGER HEIDELBERG
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Peer reviewed: 
Yes
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Keywords: 
quasistatic evolution; perfect plasticity; dimension reduction; homogenization
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Abstract: 
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.
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Research Areas: 
Mathematical and Algorithmic Foundations: 100%
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Science Branch: 
1010 - Mathematik: 100%
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