An implicit and explicit BEM sensitivity approach for thermo-structural optimization

Engineering Analysis with Boundary Elements

Volumn 28, Issue 3, 2004, Pages 257-265

  Martin, Thomas J ^a   Dulikravich, George S ^b  

^a PRATT AND WHITNEY   (United States)

^b University of Texas at Arlington   (United States)

Author keywords

Boundary elements; Design sensitivity; Thermo structural optimization

Indexed keywords

AIRFOILS; ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER AIDED DESIGN; COOLING; DEFORMATION; FLOW OF FLUIDS; HEAT CONDUCTION; INTEGRAL EQUATIONS; OPTIMIZATION; STRESS ANALYSIS; THERMOELASTICITY;

BOUNDARY ELEMENTS; DESIGN SENSITIVITY; INTERNAL COOLING SYSTEMS; THERMO-STRUCTURAL OPTIMIZATION;

BOUNDARY ELEMENT METHOD;

EID: 1142263910     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(03)00056-0     Document Type: Article

References (22)

1. Martin T.J., Dulikravich G.S. Aero-thermo-elastic concurrent design optimization of internally cooled turbine blades. Kassab A.J., Aliabadi M.H. Coupled Field Problems. Series on Advances in Boundary Elements. 2001;137-184 WIT Press, Boston, MA. chapter 5.
2. Dulikravich G.S., Martin T.J., Dennis B.H., Foster N.F. Multidisciplinary hybrid constrained ga optimization. Miettinen K., Makela M.M., Neittaanmaki P., Periaux J. EUROGEN'99 - Evolutionary algorithms in engineering and computer science. Recent advances and industrial applications. 1999;231-260 Wiley, Jyvaskyla, Finland. May 30-June 3; chapter 12.
3. Meric R.A. Differential and integral sensitivity formulations and shape optimization by BEM. Engng Anal Bound Elem. 15:1995;181-188.
4. Hafka R.T., Malkus D.S. Calculation of sensitivity derivatives in thermal problems by finite differences. Int J Numer Meth Engng. 17:1981;1811-1821.
5. Aliabadi M.H., Mellings S.C. Boundary element formulations for sensitivity analysis and crack identification. Ingham D.B., Wrobel L.C. Boundary integral formulations for inverse analysis. 1997;Computational Mechanics Publications.
6. Kane J.H., Zhao G., Wang H., Guru Prasad K. Boundary formulations for three-dimensional continuum structural shape sensitivity analysis. J Appl Mech. 59:1992;827-834.
7. Kane J.H., Saigal S. Design sensitivity analysis of solids using BEM. J Engng Mech, ASCE. 114:(10):1998;1703-1722.
8. Yamakazi K., Sakamoto J., Kitano M. Three-dimensional shape optimization using the boundary element method. AIAA J. 32:(6):1994.
9. Brebbia C.A. The boundary element method for engineers. 1978;Wiley, New York.
10. Telles J.C.F. A self-adaptive coordinate transformation for efficient numerical evaluation of general boundary element integrals. Int J Numer Meth Engng. 24:1987;959-973.
11. Aliabadi M.H., Hall W.S. The regularizing transformation integration method for boundary element kernels, comparison with series expansion and weighted Gaussian integration methods. Engng Anal Bound Elem. 6:(2):1989.
12. Martin TJ. Computer-automated multi-disciplinary analysis and design optimization of internally cooled turbine blades. PhD Dissertation. Department of Aerospace Engineering, The Pennsylvania State University; 2001.
13. He M., Kassab A.J., Bishop A.J., Minardi A. An iterative FDM/BEM method for the conjugate heat transfer problem - parallel plate channel with constant outside temperature. Engng Anal Bound Elem. 15:1995;43-50.
14. Han Z.-X., Dulikravich G.S., Dennis B.H. Simultaneous prediction of external flow-field and temperature in internally cooled 3-D turbine blade material. Int J Turbo Jet-Engines. 18:(1):2001;47-58.
15. Mikhilin S.C. Multidimensional singular integral equations. 1965;Pergamon Press, London.
16. Guiggiani M., Krishnasamy G., Rudolphi T.J., Rizzo F.J. A general algorithm for the numerical solution of hyper-singular boundary element integral equations. ASME J Appl Mech. 59:1992;604-614.
17. Rizzo F.J., Shippy D.J. An advanced boundary integral equation method for three-dimensional thermo-elasticity. Int J Numer Meth Engng. 11:1977;1753-1768.
18. Brebbia C.A., Dominguez J. Boundary elements, an introductory course. 1989;McGraw-Hill, New York.
19. Cruse TA. Boundary integral equation method for three-dimensional elastic fracture mechanics analysis. Pratt and Whitney Aircraft Report AFOSR-TR-75-0813, 1975.
20. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical recipes in FORTRAN. 2nd ed The art of scientific computing. 1986;Cambridge University Press, Cambridge.
21. Kane J.H., Keshava-Kumar B.L., Stabinsky M. Transient thermo-elasticity and other body force effects in boundary element shape sensitivity analysis. Int J Numer Meth Engng. 31:1991;1203-1230.
22. Martin TJ, Dulikravich GS. Implicit BEM sensitivity for aero-thermo-structural optimization of coolant passages in turbine blades. AIAA paper 2002-5435, Ninth AIAA/ISSMO Multidisciplinary Analysis and Optimization Symposium, Atlanta, GA; September 4-6, 2002.