Low Order Plate Bending Elements with Enhanced Strains

Reinhard Piltner

doi:10.1016/S0045-7949(02)00051-2

Low Order Plate Bending Elements with Enhanced Strains

Reinhard Piltner

Mathematical Sciences

University of Nebraska–Lincoln

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

4 Scopus citations

Abstract

Two variational formulations are considered for the development of low order plate bending elements. For the constitutive equation, the three-dimensional stress–strain relations are used without any modification. No shear correction factors are necessary in the formulation. Bilinear functions are used to approximate the deflection, the two rotations and the thickness change of the plate. The key ingredients in the low order formulation are the inclusion of the thickness change and the use of enhanced strain terms.

Original language	American English
Journal	Computers & Structures
Volume	80
DOIs	https://doi.org/10.1016/S0045-7949(02)00051-2
State	Published - Apr 2002

Keywords

Enhanced Strains
Low Order
Mixed Enhanced Plate Bending Finite Elements
Shear Deformable Plates

DC Disciplines

Mathematics

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title = "Low Order Plate Bending Elements with Enhanced Strains",

abstract = " Two variational formulations are considered for the development of low order plate bending elements. For the constitutive equation, the three-dimensional stress–strain relations are used without any modification. No shear correction factors are necessary in the formulation. Bilinear functions are used to approximate the deflection, the two rotations and the thickness change of the plate. The key ingredients in the low order formulation are the inclusion of the thickness change and the use of enhanced strain terms. ",

keywords = "Enhanced Strains, Low Order, Mixed Enhanced Plate Bending Finite Elements, Shear Deformable Plates",

author = "Reinhard Piltner",

year = "2002",

month = apr,

doi = "10.1016/S0045-7949(02)00051-2",

language = "American English",

volume = "80",

journal = "Computers & Structures",

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T1 - Low Order Plate Bending Elements with Enhanced Strains

AU - Piltner, Reinhard

PY - 2002/4

Y1 - 2002/4

N2 - Two variational formulations are considered for the development of low order plate bending elements. For the constitutive equation, the three-dimensional stress–strain relations are used without any modification. No shear correction factors are necessary in the formulation. Bilinear functions are used to approximate the deflection, the two rotations and the thickness change of the plate. The key ingredients in the low order formulation are the inclusion of the thickness change and the use of enhanced strain terms.

AB - Two variational formulations are considered for the development of low order plate bending elements. For the constitutive equation, the three-dimensional stress–strain relations are used without any modification. No shear correction factors are necessary in the formulation. Bilinear functions are used to approximate the deflection, the two rotations and the thickness change of the plate. The key ingredients in the low order formulation are the inclusion of the thickness change and the use of enhanced strain terms.

KW - Enhanced Strains

KW - Low Order

KW - Mixed Enhanced Plate Bending Finite Elements

KW - Shear Deformable Plates

UR - https://doi.org/10.1016/S0045-7949(02)00051-2

U2 - 10.1016/S0045-7949(02)00051-2

DO - 10.1016/S0045-7949(02)00051-2

M3 - Article

VL - 80

JO - Computers & Structures

JF - Computers & Structures

ER -

Low Order Plate Bending Elements with Enhanced Strains

Abstract

Keywords

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