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

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	327-336
Number of pages	10
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	80
Issue number	1-3
DOIs	https://doi.org/10.1016/0045-7825(90)90037-M
Publication status	Published - Jun 1990
Externally published	Yes

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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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doi = "10.1016/0045-7825(90)90037-M",

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AU - Chinosi, C.

AU - Sacchi, G.

AU - Scapolla, T.

PY - 1990/6

Y1 - 1990/6

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

M3 - Article

SN - 0045-7825

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EP - 336

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 1-3

ER -

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

Abstract

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