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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100 | 1 | |a de Benito Delgado, Miguel, |e author. | |
245 | 1 | 0 | |a Effective two dimensional theories for multi-layered plates / |c Miguel de Benito Delgado. |
260 | |a Berlin/Germany |b Logos Verlag Berlin |c 2019 | ||
264 | 1 | |a Berlin, Germany : |b Logos Verlag Berlin GmbH, |c [2019] | |
264 | 4 | |c ©2019 | |
300 | |a 1 online resource (147 pages) : |b illustrations, charts; digital file(s). | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |2 rda | ||
490 | 0 | |a Augsburger Shriften zur Mathematik, Physik und Informatik | |
500 | |a Author's doctoral thesis, Universität Augsburg -- page [1]. | ||
504 | |a Includes bibliographical references. | ||
530 | |a Also available in print form. | ||
546 | |a In English. | ||
588 | |a Description based on e-publication, viewed on August 5, 2021 | ||
520 | |a 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. | ||
540 | |f CC BY-NC-ND | ||
650 | 0 | |a Mathematics. | |
653 | |a elastic plates | ||
653 | |a effective model hierarchy | ||
653 | |a gamma convergence | ||
653 | |a non-conforming penalty method | ||
653 | |a Kirchhoff | ||
776 | 0 | 8 | |i Print version: |z 3832549846 |
ADM | |b 2024-02-08 04:28:28 Europe/Vienna |d 00 |f system |c marc21 |a 2020-10-03 22:18:00 Europe/Vienna |g false | ||
AVE | |i DOAB Directory of Open Access Books |P DOAB Directory of Open Access Books |x https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5338678390004498&Force_direct=true |Z 5338678390004498 |b Available |8 5338678390004498 | ||
AVE | |i DOAB Directory of Open Access Books |P DOAB Directory of Open Access Books |x https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5339665150004498&Force_direct=true |Z 5339665150004498 |b Available |8 5339665150004498 |