Shape design sensitivity analysis and optimization for nonlinear heat and electric conduction problems

Numerical Heat Transfer; Part A: Applications

Volumn 34, Issue 2, 1998, Pages 185-203

  Meric, R Alsan ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CONDUCTIVITY; FINITE ELEMENT METHOD; FUNCTIONS; GALERKIN METHODS; HEAT CONDUCTION; MATHEMATICAL TRANSFORMATIONS; OPTIMIZATION; SENSITIVITY ANALYSIS; THERMAL EFFECTS;

ADJOINT VARIABLE METHOD; CONJUGATE GRADIENT METHOD; GALERKIN FINITE-ELEMENT DISCRETIZATION; JOULE HEATING; KIRCHHOFF'S TRANSFORMATION; MATERIAL DERIVATIVE TECHNIQUE; NEWTON-RAPHSON METHOD; OBJECTIVE FUNCTION;

ELECTRIC HEATING;

EID: 0031645971     PISSN: 10407782     EISSN: 15210634     Source Type: Journal    
DOI: 10.1080/10407789808913985     Document Type: Article

References (17)

1. D. R. Flynn, Measurement of Thermal Conductivity by Steady State Methods in Which the Sample Is Heated Directly by Passage of an Electric Current, in R. P. Tye (ed.), Thermal Conductivity, pp. 241-300, Academic Press, New York, 1969.
2. S. Wanser, L. Krahenbuhl, and A. Nicolas, Computation of 3D Induction Hardening Problems by Combined Finite and Boundary Element Methods, IEE Trans. Magnetics, vol. 30, pp. 3320-3323, 1994.
3. P. Durgapal and G. Palmer, Strongly Coupled Radiative-Transfer and Joule Heating in an Arc Heater Cathode, J. Thermophys. Heat Transfer, vol. 8, pp. 730-736, 1994.
4. A. Barletta and E. Zanchini, Heat Conduction in a Cylinder Crossed by an Electric Current with Skin Effect, Warme und Stoffubertragung, vol. 29, pp. 407-413, 1994.
5. V. T. Morgan and N. G. Barton, The Time-Dependent Temperature Distribution in a Cylindrical Conductor with Joule Heating and Temperature-Dependent Properties, J. Phys. D-Appl. Phys., vol. 19, pp. 975-989, 1986.
6. S. R. Robertson, Finite Element Analysis of Quasi-Steady Coupled Nonlinear Heat and Electric Conduction Problems, Numer. Heat Transfer, vol. 10, pp. 423-439, 1986.
7. Z. Qin, S. Dost, N. Djilali, and B. Tabarrok, A Finite Element Model for Liquid Phase Electroepitaxy, Int. J. Numer. Meth. Eng., vol. 38, pp. 3949-3968, 1995.
8. C. M. Elliot and S. Larsson, A Finite Element Model for the Time Dependent Joule Heating Problem, Math. Comput., vol. 64, pp, 1433-1453, 1995.
9. R. A. Meric, Boundary Elements for Joule Heating of Solids with Orthotropic Conductivities, Eng. Anal. Boundary Elements, vol. 20, pp. 253-260, 1998.
10. R. A. Meric, Sensitivity Analysis and Optimization for Joule Heating with Temperature Dependent Conductivities, Numer. Heat Transfer, Part B, vol. 16, pp, 213-229, 1989.
11. R. A. Meric, Shape Design Sensitivity Analysis for Nonlinear Anisotropic Heat Conducting Solids and Shape Optimization by the BEM, Int. J. Numer. Meth. Eng., vol. 26, pp. 109-120, 1988.
12. R. A. Meric, Simultaneous Sensitivity Analysis and Optimization of Shape and Flow Parameters for Combined Free and Forced Convection in Vertical Ducts, Int. J. Numer. Meth. Eng., vol. 40, pp. 551-563, 1997.
13. E. J. Haug, K. K. Choi, and V. Komkov, Design Sensitivity Analysis of Structural Systems, pp. 179-295, Academic Press, New York, 1986.
14. G. J. W. Hou and J. Sheen, Numerical Methods for Second Order Shape Sensitivity Analysis with Applications to Heat Conduction Problems, Int. J. Numer. Meth. Eng., vol. 36, pp. 417-435, 1993.
15. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, 4th ed., vol. 2, pp. 260-289, McGraw-Hill, London, 1991.
16. R. A. Meric, Shape Optimization and Identification of Solid Geometries Considering Discontinuities, Trans. ASME, J. Heat Transfer, vol. 110, pp. 544-550, 1988.
17. G. N. Vanderplaats, ADS-A FORTRAN Program for Automated Design Synthesis, NASA CR 172460, October 1984.