Application of finite element-finite difference method to the determination of transient temperature field in functionally graded materials

Bao-Lin Wang; Zhen-Hui Tian

doi:10.1016/j.finel.2004.07.001

Application of finite element-finite difference method to the determination of transient temperature field in functionally graded materials

Bao-Lin Wang, Zhen-Hui Tian

Western Sydney University

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

85 Citations (Scopus)

Abstract

A finite element/finite difference method (FEM/FDM) is developed to solve the time-dependent temperature field in non-homogeneous materials such as functionally graded materials. The method uses the finite element space discretization to obtain a first-order system of differential equations, which is solved by employing finite difference scheme to resolve the time-dependent response. A computation code is developed in the programming environment MATLAB. Temperature-dependent material properties are taken into account in the program.

Original language	English
Pages (from-to)	335-349
Number of pages	15
Journal	Finite Elements in Analysis and Design
Volume	41
Issue number	4
DOIs	https://doi.org/10.1016/j.finel.2004.07.001
Publication status	Published - Jan 2005

Keywords

finite differences
functionally gradient materials
temperature

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10.1016/j.finel.2004.07.001

Cite this

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title = "Application of finite element-finite difference method to the determination of transient temperature field in functionally graded materials",

abstract = "A finite element/finite difference method (FEM/FDM) is developed to solve the time-dependent temperature field in non-homogeneous materials such as functionally graded materials. The method uses the finite element space discretization to obtain a first-order system of differential equations, which is solved by employing finite difference scheme to resolve the time-dependent response. A computation code is developed in the programming environment MATLAB. Temperature-dependent material properties are taken into account in the program.",

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author = "Bao-Lin Wang and Zhen-Hui Tian",

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N2 - A finite element/finite difference method (FEM/FDM) is developed to solve the time-dependent temperature field in non-homogeneous materials such as functionally graded materials. The method uses the finite element space discretization to obtain a first-order system of differential equations, which is solved by employing finite difference scheme to resolve the time-dependent response. A computation code is developed in the programming environment MATLAB. Temperature-dependent material properties are taken into account in the program.

AB - A finite element/finite difference method (FEM/FDM) is developed to solve the time-dependent temperature field in non-homogeneous materials such as functionally graded materials. The method uses the finite element space discretization to obtain a first-order system of differential equations, which is solved by employing finite difference scheme to resolve the time-dependent response. A computation code is developed in the programming environment MATLAB. Temperature-dependent material properties are taken into account in the program.

KW - finite differences

KW - functionally gradient materials

KW - temperature

UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:46913

U2 - 10.1016/j.finel.2004.07.001

DO - 10.1016/j.finel.2004.07.001

M3 - Article

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VL - 41

SP - 335

EP - 349

JO - Finite Elements in Analysis and Design

JF - Finite Elements in Analysis and Design

IS - 4

ER -

Application of finite element-finite difference method to the determination of transient temperature field in functionally graded materials

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Keywords

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