Structural topology design with multiple thermal criteria

Engineering Computations (Swansea, Wales)

Volumn 17, Issue 6-7, 2000, Pages 715-734

  Li, Qing ^a   Steven, Grant P ^a   Querin, Osvaldo M ^a   Xie, Y M ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b NONE

Author keywords

Finite element analysis; Heat conduction; Optimality criteria; Structural optimization; Thermal stress

Indexed keywords

EID: 0011193255     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400010340642     Document Type: Article

References (43)

1. Bendsøe, M.P. (1995), Optimization of Structural Topology, Shape, and Material, Springer-Verlag, Berlin.
2. Dems, K. (1987), "Sensitivity analysis in thermal problems-II: structure shape variation", Journal of Thermal Stresses, Vol. 10, pp. 1-16.
3. Gu, Y. and Cheng, G. (1991), "MCADS and shape optimization of thermo-stressed continuum structures", in Hernandez and Brebbia (Eds), Optimization of Structural Systems and Industrial Applications, Computational Mechanics Publications and Elsevier, Amsterdam, pp. 668-78.
4. Haftka, R.T. (1981), "Techniques for thermal sensitivity analysis", International Journal for Numerical Methods in Engineering, Vol. 17, pp. 71-80.
5. Hajela, P. (1999), "Nongradient methods in multidispsiplinary design optimization - status and potential", AIAA Journal of Aircraft, Vol. 36, pp. 255-65.
6. Hassani, B. and Hinton, E. (1999), Homogenization and Structural Topology Optimization, Springer-Verlag, Berlin.
7. Hinton, E. and Owen, D.R.J. (1979), An Introduction to Finite Element Computation, Pineridge Press, Swansea.
8. Hinton, E. and Sienz, J. (1995), "Fully stressed topological design of structure using an evolutionary procedure", Engineering Computations, Vol. 12, pp. 229-44.
9. Hinton, E., Sienz, J., Bulman, S. and Lee, S.J. (1998), "Fully integrated design optimization of engineering structures using adaptive finite element models", Keynote paper, Proceedings of the First Australasian Conference on Structural Optimization, pp. 73-8.
10. Hou, G.J.W., Sheen, J.S. and Chuang, C.H. (1992), "Shape-sensitivity analysis and design optimization of linear, thermoelastic solids", AIAA Journal, Vol. 30, pp. 528-37.
11. Jog, C.S. (1996), "Distributed-parameter optimization and topology design for non-linear thermoelasticity", Computer Methods in Applied Mechanics and Engineering, Vol. 132, pp. 117-34.
12. Jog, C.S. and Haber, R.B. (1996), "Stability of finite element models for distributed-parameter optimization and topology design", Computer Methods in Applied Mechanics and Engineering, Vol. 130, pp. 203-26.
13. Ke, J. and Elbella, A. (1994), "Rule-based shape optimization of disks subjected to transient thermoelastic loading", ASME Transactions: Journal of Mechanical Design, Vol. 116, pp. 419-22.
14. Kok, S., Stander, N. and Roux, W. (1998), "Thermal optimization in transient thermoelasticity using response surface approximations", International Journal for Numerical Methods in Engineering, Vol. 43, pp. 1-21.
15. Lee, B.Y. (1993), "Shape sensitivity formulation for an axisymmetric thermal conducting solids", Proceedings of Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, Vol. 207 No. C3, pp. 209-16.
16. Lee, B.Y. and Kwak, B.M. (1991), "Shape optimization of two-dimensional thermoelastic structures using boundary integral equation formulation", Computers and Structures, Vol. 41, pp. 709-22.
17. Lee, B.Y. and Kwak, B.M. (1992), "Axisymmetric thermoelastic shape sensitivity analysis and its application to turbine disc design", International Journal for Numerical Methods in Engineering, Vol. 33, pp. 2073-89.
18. Li, Q., Steven, G.P., Querin, O.M. and Xie, Y.M. (1997a), "Topology design of structures subjected to thermal load by evolutionary optimization procedure", Proceedings of 1997 ASME Design Engineering Technical Conferences, Sacramento, CA.
19. Li, Q., Steven, G.P., Querin, O.M. and Xie, Y.M. (1997b), "Optimal shape design for steady heat conduction by the evolutionary procedure", ASME Proceedings of 32nd National Heat Transfer Conference, Baltimore USA, ASME HTD, Vol. 340, pp. 159-64.
20. Li, Q., Steven, G.P., Querin, O.M. and Xie, Y.M. (1999a), "Optimization of thin shell structures subjected to thermal loading", Structural Engineering & Mechanics, Vol. 7, pp. 401-12.
21. Li, Q., Steven, G.P. and Xie, Y.M. (1999b), "Displacement minimization of thermoelastic structures by evolutionary thickness design", Computer Methods in Applied Mechanics & Engineering, Vol. 179, pp. 361-78.
22. Li, Q., Steven, G.P., Querin, O.M. and Xie, Y.M. (1999c), "Shape and topology design for heat conduction by evolutionary structural optimization", International Journal of Heat and Mass Transfer, Vol. 42, pp. 3361-71.
23. Meric, R.A. (1985), "Optimization of thermal conductivities of isotropic and orthotropic solids", Transactions of the ASME, Journal of Heat Transfer, Vol. 107, pp. 508-12.
24. Meric, R.A. (1986), "Material and load optimization of thermoelastic solids. Part I: sensitivity analysis", Journal of Thermal Stresses, Vol. 9, pp. 359-72.
25. Meric, R.A. (1988a), "Shape optimization of thermoelastic solids", Journal of Thermal Stresses, Vol. 11, pp. 187-206.
26. Meric, R.A. (1988b), "Shape design sensitivity analysis for non-linear anisotropy heat conducting solids and shape optimization by the BEM", International Journal for Numerical Methods in Engineering, Vol. 26, pp. 109-20.
27. Papadrakakis, M., Tsompanakis, Y., Hinton, E. and Sienz, J. (1996), "Advanced solution methods in topology optimization and shape sensitivity analysis", Engineering Computations, Vol. 13, pp. 57-90.
28. Park, C.W. and Yoo, Y.M. (1988), "Shape design sensitivity analysis of a two-dimensional heat transfer system using the boundary element method", Computers & Structures, Vol. 28, pp. 543-50.
29. Rodrigues, H. and Fernandas, P. (1995), "A material based model for topology optimization of thermoelastic structures", International Journal for Numerical Methods in Engineering, Vol. 38, pp. 1951-65.
30. Saigal, S. and Chandra, A. (1991), "Shape sensitivities and optimal configurations for heat diffusion problems: a BEM approach", Transactions of the ASME: Journal of Heat Transfer, Vol. 113, pp. 287-95.
31. Seireg, A.A. and Rodriguez, J. (1997), Optimizing the Shape of Mechanical Elements and Structures, Marcel Dekker, New York, NY.
32. Sigmund, O. and Petersson, J. (1998), "Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima", Structural Optimization, Vol. 16, pp. 68-75.
33. Swan, C.C. and Kosaka, I. (1997), "Voigt-reuss topology optimization for structures with linear elastic material behaviours", International Journal for Numerical Methods in Engineering, Vol. 40, pp. 3033-57.
34. Tortorelli, D.A., Haber, R.B. and Lu, S.C.-Y. (1989), "Design sensitivity analysis for nonlinear thermal systems", Computer Methods in Applied Mechanics and Engineering, Vol. 77, pp. 61-77.
35. Tortorelli, D.A., Haber, R.B. and Lu, S.C.-Y. (1991a), "Adjoint sensitivity analysis for nonlinear dynamic thermoelastic systems", AIAA Journal, Vol. 29, pp. 253-63.
36. Tortorelli, D.A., Subramni, G., Lu, S.C.-Y. and Haber, R.B. (1991b), "Sensitivity analysis for coupled thermoelastic systems", International Journal of Solid & Structures, Vol. 27, pp. 1477-97.
37. Xie, Y.M. and Steven, G.P. (1993), "A simple evolutionary procedure for structural optimization", Computers and Structures, Vol. 49, pp. 885-96.
38. Xie, Y.M. and Steven, G.P. (1994), "Optimal design of multiple load case structures using an evolutionary procedure", Engineering Computations, Vol. 11, pp. 295-302.
39. Xie, Y.M. and Steven, G.P. (1997), Evolutionary Structural Optimization, Springer-Verlag, Berlin.
40. Xu, S. and Grandhi, V. (1999), "Structural optimization with thermal and mechanical constraints", AIAA Journal of Aircraft, Vol. 36, pp. 29-35.
41. Yang, R.J. (1993), "Shape design sensitivity analysis of thermoelasticity problems", Computer Methods in Applied Mechanics and Engineering, Vol. 101, pp. 41-60.
42. Youn, S.K. and Park, S.H. (1997), "A study on the shape extraction process in the structural topology optimization using homogenization material", Computers and Structures, Vol. 62, pp. 527-38.
43. Zhao, C., Steven, G.P. and Xie, Y.M. (1998), "A generalized evolutionary method for natural frequency optimization of membrane vibration problems in finite element analysis", Computers and Structures, Vol. 66, pp. 353-64.