Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates

K. C. Le; H. G. Bui

doi:10.1016/j.compstruc.2024.107387

Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates

K. C. Le^*
, H. G. Bui

^*Corresponding author for this work

Civil Engineering

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

Abstract

A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate and shear-locking-free finite element implementation. As applications, numerical simulations are performed for circular and rectangular plates, showing complete agreement between the analytical solution and the numerical solutions based on two-dimensional theory and three-dimensional elasticity theory.

Original language	English
Article number	107387
Number of pages	14
Journal	Computers and Structures
Volume	298
Early online date	19 Apr 2024
DOIs	https://doi.org/10.1016/j.compstruc.2024.107387
Publication status	Published - 15 Jul 2024

Bibliographical note

Publisher Copyright:
© 2024 Elsevier Ltd

Keywords

Asymptotic accuracy
Finite element
First-order shear deformation theory
Plates
Shear-locking

ASJC Scopus subject areas

Civil and Structural Engineering
Modelling and Simulation
General Materials Science
Mechanical Engineering
Computer Science Applications

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10.1016/j.compstruc.2024.107387Licence: None: All rights reserved

1 Comment/debate

Corrigendum to “Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates” [Comput. Struct. 298 (2024) 107387]
Le, K. C. & Bui, H. G., 1 Aug 2024, In: Computers and Structures. 299, 1 p., 107406.
Research output: Contribution to journal › Comment/debate

Cite this

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title = "Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates",

abstract = "A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate and shear-locking-free finite element implementation. As applications, numerical simulations are performed for circular and rectangular plates, showing complete agreement between the analytical solution and the numerical solutions based on two-dimensional theory and three-dimensional elasticity theory.",

keywords = "Asymptotic accuracy, Finite element, First-order shear deformation theory, Plates, Shear-locking",

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AU - Bui, H. G.

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N2 - A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate and shear-locking-free finite element implementation. As applications, numerical simulations are performed for circular and rectangular plates, showing complete agreement between the analytical solution and the numerical solutions based on two-dimensional theory and three-dimensional elasticity theory.

AB - A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate and shear-locking-free finite element implementation. As applications, numerical simulations are performed for circular and rectangular plates, showing complete agreement between the analytical solution and the numerical solutions based on two-dimensional theory and three-dimensional elasticity theory.

KW - Asymptotic accuracy

KW - Finite element

KW - First-order shear deformation theory

KW - Plates

KW - Shear-locking

UR - https://www.scopus.com/pages/publications/85190747775

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DO - 10.1016/j.compstruc.2024.107387

M3 - Article

AN - SCOPUS:85190747775

SN - 0045-7949

VL - 298

JO - Computers and Structures

JF - Computers and Structures

M1 - 107387

ER -

Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Research output

Corrigendum to “Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates” [Comput. Struct. 298 (2024) 107387]

Cite this