Transient heat transfer analysis of functionally graded materials using adaptive precise time integration and graded finite elements

Numerical Heat Transfer, Part B: Fundamentals

Volumn 45, Issue 2, 2004, Pages 181-200

  Chen, Biaosong ^a   Tong, Liyong ^a   Gu, Yuanxian ^b   Zhang, Hongwu ^b   Ochoa, Ozden ^c  

^a UNIVERSITY OF SYDNEY   (Australia)

^b DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^c Texas AandM University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; ERROR ANALYSIS; FINITE ELEMENT METHOD; FUNCTIONALLY GRADED MATERIALS; NUMERICAL METHODS;

ADAPTIVE PRECISE TIME INTEGRATION; COMPUTATIONAL ERROR TOLERANCE; GRADED FINITE ELEMENTS; ISOPARAMETRIC METHOD; TRANSIENT HEAT TRANSFER ANALYSIS;

HEAT TRANSFER;

EID: 1242288444     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/1040779049025384     Document Type: Article

References (19)

1. M. KoiZumi, FGM Activities in Japan, Composites B, vol. 28B, pp. 1-4, 1997.
2. S. Suresh and A. Mortensen, Fundamental of Functionally Graded Material: Processing and Thermomechanical Behaviour of Graded Metal and Metal-Ceramic Composites, IOM Communication, London, UK, 1998.
3. Z. H. Jin and G. H. Paulino, Transient Thermal Stress Analysis of an Edge Crack in a Functionally Graded Material, Int. J. Fracture, vol. 107, no. 1, pp. 73-98, 2001.
4. Z. H. Jin, An Asymptotic Solution of Temperature Field in a Strip of a Functionally Graded Material, Int. Commun. Heat Mass Transfer, vol. 29, no. 7, pp. 887-895, 2002.
5. F. Monte, An Analytic Approach to the Unsteady Heat Conduction Processes in OneDimensional Composite Media, Int. J. Heat Mass Transfer, vol. 45, pp. 1333-1343, 2002.
6. A. Sutradhar, G. H. Paulino, and L. J. Gray, Transient Heat Conduction in Homogeneous and Non-homogeneous Materials by the Laplace Transform Galerkin Boundary Element Method, Eng. Anal. Boundary Element, vol. 26, pp. 119-132, 2002.
7. J. R. Cho and J. T. Oden, Functionally Graded Material: A Parametric Study on Ther-mal-Stress Characteristics Using the Crank-Nicolson-Galerkin Scheme, Comput. Meth. Appl. Mech. Eng., vol. 188, pp. 17-38, 2000.
8. W. X. Zhong and F. W. Williams, A Precise Time Step Integration Method, Proc. Inst. Mech. Eng. C: J. Mech. Eng. Sci., vol. 208, no. C6, pp. 427-430, 1994.
9. J. H. Lin, W. P. Shen, and F. W. Williams, A High Precision Direct Integration Scheme for Structures Subjected to Transient Dynamic Loading, Comput. Struct., vol. 56, no. 1, pp. 113-120, 1995.
10. X. D. Kong, Precise Time Integration Algorithms of Ordinary Differential Equations and Application in Multibody System Dynamics, Ph.D. thesis, Dalian University of Technology, Dalian, China, 1998.
11. T. C. Fung, A Precise Time-Step Integration Method by Step-Response and Impulsive Response Matrices for Dynamic Problems, Int. J. Numer. Meth. Eng., vol. 40, pp. 4501-4527, 1997.
12. J. H. Lin, W. X. Zhong, W. S. Zhang, and D. K. Sun, High Efficiency Computation of the Variances of Structural Evolutionary Random Responses, Shock and Vibration, vol. 7, no. 4, pp. 209-216, 2000.
13. W. X. Zhong, W. P. Howson, and F. W. Williams, H-Infinity Control State Feedback and Rayleigh Quotient, Comput. Meth. Appl. Mech. Eng., vol. 191, no. 3-5, pp. 489-501, 2001.
14. G. F. Yao and S. H. Chen, The Precise Integration of the Riccati Equation and its Application in the Optimal Shape Control, Comput. Meth. Appl. Mech. Eng., vol. 189, no. 1, pp. 141-148, 2000.
15. X. K. Li, W. H. Wu, and O. C. Zienkiewicz, Implicit Characteristic Galerkin Method for Convection-Diffusion Equations, Int. J. Numer. Meth. Eng., vol. 47, no. 10, pp. 1689-1708, 2000.
16. B. S. Chen, Y. X. Gu, Z. Q. Guan, and H. W. Zhang, Nonlinear Transient Heat Conduction Analysis with Precise Time Integration Method, Numer. Heat Transfer B, vol. 40, no. 4, pp. 325-341, 2001.
17. H. W. Zhang, B. S. Chen, and Y. X. Gu, An Adaptive Algorithm of Precise Integration for Transient Analysis, Acta Mechanica Solida Sinica, vol. 14, no. 3, pp. 215-224, 2001.
18. M. H. Santare and J. Lambros, Use of Graded Finite Elements to Model the Behavior of Nonhomogeneous Materials, J. Appl. Mech., vol. 67, pp. 819-822, 2000.
19. J. H. Kim and G. H. Paulino, Isoparametric Graded Finite Elements for Non-homogeneous Isotropic and Orthotropic Materials, J. Appl. Mech., vol. 69, pp. 502-514, 2002.