Effective two dimensional theories for multi-layered plates / Miguel de Benito Delgado.

Format:

Book

Author/Creator:

de Benito Delgado, Miguel, author.

Series:

Augsburger Shriften zur Mathematik, Physik und Informatik

Language:

English

Subjects (All):

Mathematics.

Physical Description:

1 online resource (147 pages) : illustrations, charts; digital file(s).

Place of Publication:

Berlin/Germany Logos Verlag Berlin 2019

Berlin, Germany : Logos Verlag Berlin GmbH, [2019]

Language Note:

In English.

System Details:

text file

Summary:

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.

Notes:

Author's doctoral thesis, Universität Augsburg -- page [1].

Includes bibliographical references.

CC BY-NC-ND

Description based on e-publication, viewed on August 5, 2021

Other Format:

Print version:

ISBN:

9783832549848

OCLC:

1226215216

Publisher Number:

https://doi.org/10.30819/4984

Access Restriction:

Open access Unrestricted online access