A hierarchic family of conforming finite elements for the solution of plate bending problems

C. Chinosi; G. Sacchi; T. Scapolla

doi:10.1016/0045-7825(90)90037-M

A hierarchic family of conforming finite elements for the solution of plate bending problems

C. Chinosi
, G. Sacchi
, T. Scapolla

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

A family of finite elements of type p for plate bending problems is introduced. The elements are conforming, that is, the approximation spaces satisfy the C¹-continuity condition, and hierarchic, that is, when the degree of the polynomials is increased new shape functions are added to the previous ones. Several plate bending problems have been solved. The related numerical results are presented together with a description of the features of the finite elements.

Lingua originale	Inglese
pagine (da-a)	327-336
Numero di pagine	10
Rivista	Computer Methods in Applied Mechanics and Engineering
Volume	80
Numero di pubblicazione	1-3
DOI	https://doi.org/10.1016/0045-7825(90)90037-M
Stato di pubblicazione	Pubblicato - giu 1990
Pubblicato esternamente	Sì

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10.1016/0045-7825(90)90037-M

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title = "A hierarchic family of conforming finite elements for the solution of plate bending problems",

abstract = "A family of finite elements of type p for plate bending problems is introduced. The elements are conforming, that is, the approximation spaces satisfy the C1-continuity condition, and hierarchic, that is, when the degree of the polynomials is increased new shape functions are added to the previous ones. Several plate bending problems have been solved. The related numerical results are presented together with a description of the features of the finite elements.",

author = "C. Chinosi and G. Sacchi and T. Scapolla",

year = "1990",

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AU - Sacchi, G.

AU - Scapolla, T.

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N2 - A family of finite elements of type p for plate bending problems is introduced. The elements are conforming, that is, the approximation spaces satisfy the C1-continuity condition, and hierarchic, that is, when the degree of the polynomials is increased new shape functions are added to the previous ones. Several plate bending problems have been solved. The related numerical results are presented together with a description of the features of the finite elements.

AB - A family of finite elements of type p for plate bending problems is introduced. The elements are conforming, that is, the approximation spaces satisfy the C1-continuity condition, and hierarchic, that is, when the degree of the polynomials is increased new shape functions are added to the previous ones. Several plate bending problems have been solved. The related numerical results are presented together with a description of the features of the finite elements.

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U2 - 10.1016/0045-7825(90)90037-M

DO - 10.1016/0045-7825(90)90037-M

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JO - Computer Methods in Applied Mechanics and Engineering

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A hierarchic family of conforming finite elements for the solution of plate bending problems

Abstract

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