A semi-analytical finite element method for the analysis of functionally graded circular plates

Chih Ping Wu; Lu Ting Yu

A semi-analytical finite element method for the analysis of functionally graded circular plates

Department of Civil Engineering

Research output: Contribution to conference › Paper › peer-review

Abstract

A weak-form formulation of finite annular prism methods (FAPM) based on Reissner's mixed variational theorem (RMVT), is developed for the three-dimensional (3D) static analysis of bidirectional functionally graded (FG) circular plates with various boundary conditions and under mechanical loads. The material properties of the circular plate are assumed to obey a bi-directional power-law distribution of the volume fractions of the constituents through the radial-thickness surface. These FAPM solutions of the loaded FG circular plates with simply-supported edges are in excellent agreement with the solutions obtained using the 3D analytical approach and two-dimensional advanced plate theories available in the literature.

Original language	English
Publication status	Published - 2019
Event	22nd International Conference on Composite Materials, ICCM 2019 - Melbourne, Australia Duration: 2019 Aug 11 → 2019 Aug 16

Conference

Conference	22nd International Conference on Composite Materials, ICCM 2019
Country/Territory	Australia
City	Melbourne
Period	19-08-11 → 19-08-16

All Science Journal Classification (ASJC) codes

General Engineering
Ceramics and Composites

Cite this

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title = "A semi-analytical finite element method for the analysis of functionally graded circular plates",

abstract = "A weak-form formulation of finite annular prism methods (FAPM) based on Reissner's mixed variational theorem (RMVT), is developed for the three-dimensional (3D) static analysis of bidirectional functionally graded (FG) circular plates with various boundary conditions and under mechanical loads. The material properties of the circular plate are assumed to obey a bi-directional power-law distribution of the volume fractions of the constituents through the radial-thickness surface. These FAPM solutions of the loaded FG circular plates with simply-supported edges are in excellent agreement with the solutions obtained using the 3D analytical approach and two-dimensional advanced plate theories available in the literature.",

author = "Wu, {Chih Ping} and Yu, {Lu Ting}",

note = "Funding Information: This work was supported by the Ministry of Science and Technology of Republic of China through Grant MOST 103-2221-E-006-064-MY3. Publisher Copyright: {\textcopyright} 2019 International Committee on Composite Materials. All rights reserved.; 22nd International Conference on Composite Materials, ICCM 2019 ; Conference date: 11-08-2019 Through 16-08-2019",

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TY - CONF

T1 - A semi-analytical finite element method for the analysis of functionally graded circular plates

AU - Wu, Chih Ping

AU - Yu, Lu Ting

N1 - Funding Information: This work was supported by the Ministry of Science and Technology of Republic of China through Grant MOST 103-2221-E-006-064-MY3. Publisher Copyright: © 2019 International Committee on Composite Materials. All rights reserved.

PY - 2019

Y1 - 2019

N2 - A weak-form formulation of finite annular prism methods (FAPM) based on Reissner's mixed variational theorem (RMVT), is developed for the three-dimensional (3D) static analysis of bidirectional functionally graded (FG) circular plates with various boundary conditions and under mechanical loads. The material properties of the circular plate are assumed to obey a bi-directional power-law distribution of the volume fractions of the constituents through the radial-thickness surface. These FAPM solutions of the loaded FG circular plates with simply-supported edges are in excellent agreement with the solutions obtained using the 3D analytical approach and two-dimensional advanced plate theories available in the literature.

AB - A weak-form formulation of finite annular prism methods (FAPM) based on Reissner's mixed variational theorem (RMVT), is developed for the three-dimensional (3D) static analysis of bidirectional functionally graded (FG) circular plates with various boundary conditions and under mechanical loads. The material properties of the circular plate are assumed to obey a bi-directional power-law distribution of the volume fractions of the constituents through the radial-thickness surface. These FAPM solutions of the loaded FG circular plates with simply-supported edges are in excellent agreement with the solutions obtained using the 3D analytical approach and two-dimensional advanced plate theories available in the literature.

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M3 - Paper

AN - SCOPUS:85097340166

T2 - 22nd International Conference on Composite Materials, ICCM 2019

Y2 - 11 August 2019 through 16 August 2019

ER -

A semi-analytical finite element method for the analysis of functionally graded circular plates

Abstract

Conference

All Science Journal Classification (ASJC) codes

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