Static analysis for magneto-electro-elastic plates based on the scaled boundary finite element method

The scaled boundary finite element method (SBFEM) and the precise integration algorithm (PIA) are utilized to analyze the extended displacement field in clamped or simple-supported magneto-electro-elastic plates produced by external transverse loadings. There are no limitation on boundary conditions...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering Vol. 191; no. 1; pp. 12033 - 12037
Main Authors: Zhang, Pengchong, Liu, Jun, Lin, Gao
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.04.2017
Subjects:
Algorithms
Boundary conditions
Elastic limit
Elastic plates
Finite element analysis
Finite element method
Mathematical analysis
Ordinary differential equations
Partial differential equations
ISSN:1757-8981, 1757-899X, 1757-899X
Online Access:Get full text
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Summary:The scaled boundary finite element method (SBFEM) and the precise integration algorithm (PIA) are utilized to analyze the extended displacement field in clamped or simple-supported magneto-electro-elastic plates produced by external transverse loadings. There are no limitation on boundary conditions and types of external forces. Only the in-plane dimensions are divided into 2D elements. By introducing a set of scaled boundary local coordinates, 3D governing partial differential equations are converted into the second order ordinary differential matrix equation. By means of the internal nodal force, a first order ordinary differential equation is obtained and its general solution is a matrix exponential. The PIA is introduced to calculate the matrix exponential and any desired accuracy can be obtained. Finally, several numerical examples are provided to validate the versatility of the proposed technique.
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ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/191/1/012033