A mixed finite element for plate bending with eight enhanced strain modes

Reinhard Piltner; Deepu S. Joseph

doi:10.1002/cnm.416

A mixed finite element for plate bending with eight enhanced strain modes

Reinhard Piltner, Deepu S. Joseph

Mathematical Sciences

University of Nebraska–Lincoln

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

A low-order thick and thin plate bending element is derived using bilinear approximations for the transverse deflection, the two rotations and the thickness change. The stress-strain relationships from three-dimensional elasticity are used without any modifications. In order to avoid locking and to improve the accuracy of the results eight enhanced strain modes are used. For an efficient implementation of the mixed element, orthogonal stress and strain functions are utilized. Although the element is a low-order finite element the numerical results for a series of standard test problems are excellent.

Original language	English
Pages (from-to)	443-454
Number of pages	12
Journal	Communications in Numerical Methods in Engineering
Volume	17
Issue number	7
DOIs	https://doi.org/10.1002/cnm.416
State	Published - Jul 2001

Scopus Subject Areas

Software
Modeling and Simulation
General Engineering
Computational Theory and Mathematics
Applied Mathematics

Keywords

Mixed enhanced plate bending finite element
Shear locking
Stress-strain relationships

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10.1002/cnm.416License: Unspecified

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title = "A mixed finite element for plate bending with eight enhanced strain modes",

abstract = "A low-order thick and thin plate bending element is derived using bilinear approximations for the transverse deflection, the two rotations and the thickness change. The stress-strain relationships from three-dimensional elasticity are used without any modifications. In order to avoid locking and to improve the accuracy of the results eight enhanced strain modes are used. For an efficient implementation of the mixed element, orthogonal stress and strain functions are utilized. Although the element is a low-order finite element the numerical results for a series of standard test problems are excellent.",

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note = "Research Article Corresponding author Department of Engineering Mechanics, W317.2 Nebraska Hall, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, U.S.A. Department of Engineering Mechanics, University of Nebraska-Lincoln, W317.2 Nebraska Hall, Lincoln, NE 68588-0526, U.S.A. Search for more papers by this author Department of Engineering Mechanics, W317.2 Nebraska Hall, University of Nebraska-Lincoln, Lincoln, NE 68588-0526, U.S.A.",

year = "2001",

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N2 - A low-order thick and thin plate bending element is derived using bilinear approximations for the transverse deflection, the two rotations and the thickness change. The stress-strain relationships from three-dimensional elasticity are used without any modifications. In order to avoid locking and to improve the accuracy of the results eight enhanced strain modes are used. For an efficient implementation of the mixed element, orthogonal stress and strain functions are utilized. Although the element is a low-order finite element the numerical results for a series of standard test problems are excellent.

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A mixed finite element for plate bending with eight enhanced strain modes

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