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A quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence Mora, Maria Giovanna
Description
In this talk we shall discuss the rigorous derivation of a quasistatic evolution model for a linearly elastic - perfectly plastic thin plate. As the thickness of the plate tends to zero, we shall prove via Gamma-convergence techniques that solutions to the three-dimensional quasistatic evolution problem of Prandtl-Reuss elastoplasticity converge to a quasistatic evolution of a suitable limiting model. Such a model has a genuinely three-dimensional nature, unless specific data are prescribed. In particular, the stretching and bending components of the stress decouple only in the equilibrium condition, while the whole stress is involved in the stress constraint and in the flow rule.\\r\\nThis is based on a joint work with Elisa Davoli (Carnegie Mellon University).
Item Metadata
Title |
A quasistatic evolution model for perfectly plastic plates derived by Gamma-convergence
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2013-07-18
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Description |
In this talk we shall discuss the rigorous derivation of a quasistatic evolution model for a linearly elastic - perfectly plastic thin plate. As the thickness of the plate tends to zero, we shall prove via Gamma-convergence techniques that solutions to the three-dimensional quasistatic evolution problem of Prandtl-Reuss elastoplasticity converge to a quasistatic evolution of a suitable limiting model. Such a model has a genuinely three-dimensional nature, unless specific data are prescribed. In particular, the stretching and bending components of the stress decouple only in the equilibrium condition, while the whole stress is involved in the stress constraint and in the flow rule.\\r\\nThis is based on a joint work with Elisa Davoli (Carnegie Mellon University).
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Extent |
41 minutes
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Università degli Studi di Pavia
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Series | |
Date Available |
2014-08-06
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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DOI |
10.14288/1.0056630
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada