Sensitivity analysis of heat conduction for functionally graded materials

被引:51
作者
Chen, BS [1 ]
Tong, LY [1 ]
机构
[1] Univ Sydney, Sch Aerosp Mech & Mechatron Engn, Sydney, NSW 2006, Australia
基金
澳大利亚研究理事会;
关键词
composite; thermal analysis; functionally graded materials;
D O I
10.1016/j.matdes.2004.03.007
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A sensitivity analysis is presented for the steady-state and transient heat conduction of functionally graded materials (FGMs). Based on the finite element method, the sensitivity equations of heat conduction are presented by using the direct method and the adjoint method. In the solution of transient problem, the precise time integration (PTI) is employed. The spatial volume fractions of materials of FGM (size problem) and the shape design parameters are considered. Detailed formulations especial for the FGMs are provided. The numerical examples are presented to demonstrate the precision and applicability of the proposed method. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码:663 / 672
页数:10
相关论文
共 30 条
[1]  
Blackwell BF, 1999, NUMER HEAT TR B-FUND, V36, P15, DOI 10.1080/104077999275758
[2]  
BOER H, 1997, STRUCT OPTIMIZATION, V14, P242
[3]   Nonlinear transient heat conduction analysis with precise time integration method [J].
Chen, BS ;
Gu, YX ;
Guan, ZQ ;
Zhang, HW .
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2001, 40 (04) :325-341
[4]   Functionally graded material: a parametric study on thermal-stress characteristics using the Crank-Nicolson-Galerkin scheme [J].
Cho, JR ;
Oden, JT .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 188 (1-3) :17-38
[5]   Optimal tailoring of 2D volume-fraction distributions for heat-resisting functionally graded materials using FDM [J].
Cho, JR ;
Ha, DYI .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2002, 191 (29-30) :3195-3211
[6]   SENSITIVITY ANALYSIS IN THERMAL PROBLEMS .2. STRUCTURE SHAPE VARIATION [J].
DEMS, K .
JOURNAL OF THERMAL STRESSES, 1987, 10 (01) :1-16
[8]   Sensitivity analysis for transient heat conduction in a solid body - Part II: Interface modification [J].
Dems, K ;
Rousselet, B .
STRUCTURAL OPTIMIZATION, 1999, 17 (01) :46-54
[9]  
Dems K, 1999, STRUCT OPTIMIZATION, V17, P36, DOI 10.1007/s001580050034
[10]   STRUCTURAL MODELING AND SENSITIVITY ANALYSIS OF SHAPE OPTIMIZATION [J].
GU, Y ;
CHENG, G .
STRUCTURAL OPTIMIZATION, 1993, 6 (01) :29-37