Effective two dimensional theories for multi-layered plates

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DC Field	Value	Language
dc.contributor.author	de Benito Delgado, Miguel (auth)	-
dc.date.accessioned	2024-10-18T11:10:01Z	-
dc.date.available	2024-10-18T11:10:01Z	-
dc.date.issued	2019	-
dc.identifier.isbn	9783832549848	-
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/1755	-
dc.description	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.	en_US
dc.publisher	Logos Verlag Berlin 2019	en_US
dc.subject	Mathematics	en_US
dc.title	Effective two dimensional theories for multi-layered plates	en_US
dc.type	Book	en_US
Appears in Collections:	School of Mathematics

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