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A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free ThinThick Plate Theory
Joint Authors
Mo, Tian-Jing
Huang, Jun
Li, Shuang-Bei
Wu, Hai
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-10
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
A spline finite point method (SFPM) based on a locking-free thin/thick plate theory, which is suitable for analysis of both thick and thin plates, is developed to study nonlinear bending behavior of functionally graded material (FGM) plates with different thickness in thermal environments.
In the proposed method, one direction of the plate is discretized with a set of uniformly distributed spline nodes instead of meshes and the other direction is expressed with orthogonal functions determined by the boundary conditions.
The displacements of the plate are constructed by the linear combination of orthogonal functions and cubic B-spline interpolation functions with high efficiency for modeling.
The locking-free thin/thick plate theory used by the proposed method is based on the first-order shear deformation theory but takes the shear strains and displacements as basic unknowns.
The material properties of the FG plate are assumed to vary along the thickness direction following the power function distribution.
By comparing with several published research studies based on the finite element method (FEM), the correctness, efficiency, and generality of the new model are validated for rectangular plates.
Moreover, uniform and nonlinear temperature rise conditions are discussed, respectively.
The effect of the temperature distribution, in-plane temperature force, and elastic foundation on nonlinear bending under different parameters are discussed in detail.
American Psychological Association (APA)
Mo, Tian-Jing& Huang, Jun& Li, Shuang-Bei& Wu, Hai. 2020. A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free ThinThick Plate Theory. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-22.
https://search.emarefa.net/detail/BIM-1194130
Modern Language Association (MLA)
Mo, Tian-Jing…[et al.]. A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free ThinThick Plate Theory. Mathematical Problems in Engineering No. 2020 (2020), pp.1-22.
https://search.emarefa.net/detail/BIM-1194130
American Medical Association (AMA)
Mo, Tian-Jing& Huang, Jun& Li, Shuang-Bei& Wu, Hai. A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free ThinThick Plate Theory. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-22.
https://search.emarefa.net/detail/BIM-1194130
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194130