Effective two dimensional theories for multi-layered plates / / Miguel de Benito Delgado.
This work introduces a family of effective plate theories for multilayered materials with internal misfit. This is done for scaling laws ranging from Kirchhoff's theory to the linearised von Kármán one. An intermediate von Kármán-like theory is introduced to play a central interpolating role wi...
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Place / Publishing House: | Berlin, Germany : : Logos Verlag Berlin GmbH,, [2019] ©2019 |
Year of Publication: | 2019 |
Language: | English |
Series: | Augsburger Shriften zur Mathematik, Physik und Informatik
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Physical Description: | 1 online resource (147 pages) :; illustrations, charts; digital file(s). |
Notes: | Author's doctoral thesis, Universität Augsburg -- page [1]. |
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(CKB)4100000011479713 (oapen)https://directory.doabooks.org/handle/20.500.12854/64424 (OCoLC)1226215216 (ScCtBLL)e1dc8fef-5597-4d21-a2ab-0b830abca8af (EXLCZ)994100000011479713 |
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de Benito Delgado, Miguel, author. Effective two dimensional theories for multi-layered plates / Miguel de Benito Delgado. Berlin/Germany Logos Verlag Berlin 2019 Berlin, Germany : Logos Verlag Berlin GmbH, [2019] ©2019 1 online resource (147 pages) : illustrations, charts; digital file(s). text txt rdacontent computer c rdamedia online resource cr rdacarrier text file rda Augsburger Shriften zur Mathematik, Physik und Informatik Author's doctoral thesis, Universität Augsburg -- page [1]. Includes bibliographical references. Also available in print form. In English. Description based on e-publication, viewed on August 5, 2021 This work introduces a family of effective plate theories for multilayered materials with internal misfit. This is done for scaling laws ranging from Kirchhoff's theory to the linearised von Kármán one. An intermediate von Kármán-like theory is introduced to play a central interpolating role with a new parameter which switches between the adjacent regimes. After proving the necessary Gamma-convergence and compactness results, minimising configurations are characterised. Finally, the interpolating theory is numerically approximated using a discrete gradient flow and the relevant Gamma-convergence and compactness results for the discretisation are proved. This provides empirical evidence for the existence of a critical region of the parameter around which minimisers experience a stark qualitative change. CC BY-NC-ND Mathematics. elastic plates effective model hierarchy gamma convergence non-conforming penalty method Kirchhoff Print version: 3832549846 |
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de Benito Delgado, Miguel, |
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de Benito Delgado, Miguel, Effective two dimensional theories for multi-layered plates / Augsburger Shriften zur Mathematik, Physik und Informatik |
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de Benito Delgado, Miguel, |
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de Benito Delgado, Miguel, |
title |
Effective two dimensional theories for multi-layered plates / |
title_full |
Effective two dimensional theories for multi-layered plates / Miguel de Benito Delgado. |
title_fullStr |
Effective two dimensional theories for multi-layered plates / Miguel de Benito Delgado. |
title_full_unstemmed |
Effective two dimensional theories for multi-layered plates / Miguel de Benito Delgado. |
title_auth |
Effective two dimensional theories for multi-layered plates / |
title_new |
Effective two dimensional theories for multi-layered plates / |
title_sort |
effective two dimensional theories for multi-layered plates / |
series |
Augsburger Shriften zur Mathematik, Physik und Informatik |
series2 |
Augsburger Shriften zur Mathematik, Physik und Informatik |
publisher |
Logos Verlag Berlin Logos Verlag Berlin GmbH, |
publishDate |
2019 |
physical |
1 online resource (147 pages) : illustrations, charts; digital file(s). Also available in print form. |
isbn |
9783832549848 3832549846 |
illustrated |
Illustrated |
oclc_num |
1226215216 |
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AT debenitodelgadomiguel effectivetwodimensionaltheoriesformultilayeredplates |
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c |
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(CKB)4100000011479713 (oapen)https://directory.doabooks.org/handle/20.500.12854/64424 (OCoLC)1226215216 (ScCtBLL)e1dc8fef-5597-4d21-a2ab-0b830abca8af (EXLCZ)994100000011479713 |
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Effective two dimensional theories for multi-layered plates / |
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1796648803850256385 |
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