Existence theory for linearly elastic shells

Philippe G. Ciarlet

doi:10.1007/BF02830891

Existence theory for linearly elastic shells

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

We review existence and uniqueness results, recently obtained for three of the most important linear two-dimensional shell models: Koiter's model, the bending model and the membrane model. They rely on a crucial lemma of J L Lions, used in an essential way for establishing in each case a generalized Korn's inequality, which is then combined with a generalized rigid displacement lemma of a geometrical nature. © 1994 Indian Academy of Science.

Original language	English
Pages (from-to)	269-278
Journal	Proceedings Mathematical Sciences
Volume	104
Issue number	1
DOIs	https://doi.org/10.1007/BF02830891
Publication status	Published - Feb 1994
Externally published	Yes

Research Keywords

bending shell model
Koiter's model
Linearly elastic shells
membrane shell model

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10.1007/BF02830891

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title = "Existence theory for linearly elastic shells",

abstract = "We review existence and uniqueness results, recently obtained for three of the most important linear two-dimensional shell models: Koiter's model, the bending model and the membrane model. They rely on a crucial lemma of J L Lions, used in an essential way for establishing in each case a generalized Korn's inequality, which is then combined with a generalized rigid displacement lemma of a geometrical nature. {\textcopyright} 1994 Indian Academy of Science.",

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AB - We review existence and uniqueness results, recently obtained for three of the most important linear two-dimensional shell models: Koiter's model, the bending model and the membrane model. They rely on a crucial lemma of J L Lions, used in an essential way for establishing in each case a generalized Korn's inequality, which is then combined with a generalized rigid displacement lemma of a geometrical nature. © 1994 Indian Academy of Science.

KW - bending shell model

KW - Koiter's model

KW - Linearly elastic shells

KW - membrane shell model

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DO - 10.1007/BF02830891

M3 - RGC 21 - Publication in refereed journal

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VL - 104

SP - 269

EP - 278

JO - Proceedings Mathematical Sciences

JF - Proceedings Mathematical Sciences

IS - 1

ER -

Existence theory for linearly elastic shells

Abstract

Research Keywords

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