162
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Multi-objective ceramic matrix composite material design using the variable fidelity model management optimization framework

, &
Pages 1055-1078 | Received 28 Sep 2009, Accepted 11 Jan 2010, Published online: 02 Aug 2010

References

  • Ahn , J. , Kim , S. and Kwon , J. H. 2005 . Reliability-based wing design optimization using trust region-sequential quadratic programming framework . Journal of Aircraft , 42 ( 5 ) : 1331 – 1336 .
  • Alexandrov , N. M. , Dennis , J. E. , Lewis , R. M. and Torczon , V. 1998 . A trust-region framework for managing the use of approximation models in optimization . Structural Optimization , 15 ( 1 ) : 16 – 23 .
  • Alexandrov , N. M. and Lewis , R. M. 2001 . First-order approximation and model management in optimization, in large-scale Pde-constrained optimization , Berlin : Springer-Verlag .
  • Ashby , M. F. 2000 . Multi-objective optimization in material design and selection . Acta Materialia , 48 ( 1 ) : 359 – 369 .
  • Ashby , M. F. and Bréchet , P. 2003 . Designing hybrid materials . Acta Materialia , 51 ( 16 ) : 5801 – 5821 .
  • Bruyneel , M. 2006 . A general and effective approach for the optimal design of fibre reinforced composite structures . Composites Science and Technology , 66 ( 10 ) : 1303 – 1314 .
  • Castillo-Rodriguez , M. , Munoz , A. and Dominguez-Rodriguez , A. 2006 . Correlation between microstructure and creep behavior in liquid-phase-sintered alpha-silicon carbide . Journal of the American Ceramic Society , 89 ( 3 ) : 960 – 967 .
  • Chang , K. J. , Haftka , R. T. , Giles , G. L. and Kao , P.-J. 1993 . Sensitivity-based scaling for approximating structural response . Journal of Aircraft , 30 ( 2 ) : 283 – 288 .
  • Conn , A. R. , Gould , N. I.M. and Toint , P. L. 1988 . Global convergence of a class of trust region algorithms for optimization with simple bounds . SIAM Journal on Numerical Analysis , 25 ( 2 ) : 433 – 460 .
  • Eldred , M. S. , Giunta , A. A. , Collis , S. S. , Alexandrov , N. A. and Lewis , R. M. Second-order corrections for surrogate-based optimization with model hierarchies . Proceedings of the 10th AIAA/ISSMO multidisciplinary analysis and optimization conference . 30 August–1 September , Albany, New York. AIAA Paper 2004-4457
  • Gano , S. E. , Agarwal , H. , Renaud , J. E. and Tovar , A. 2006a . Reliability based design using variable fidelity optimization . Structure and Infrastructure Engineering: Maintenance, Management, Life-Cycle , 2 ( 3/4 ) : 247 – 260 .
  • Gano , S. E. , Perez , V. M. and Renaud , J. E. Multi-objective variable-fidelity optimization of a morphing unmanned aerial vehicle . Proceedings of the 45th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics and materials conference . April 19–22 , Palm Springs, California. AIAA Paper 2004-1763.
  • Gano , S. E. , Renaud , J. E. , Martin , J. D. and Simpson , T. W. 2006b . Update strategies for Kriging models for use in variable fidelity optimization . Structural and Multidisciplinary Optimization , 32 ( 4 ) : 287 – 298 .
  • Gano , S. E. , Renaud , J. E. and Sanders , B. Variable fidelity optimization using a Kriging based scaling function . Proceedings of the 10th AIAA/ISSMO multidisciplinary analysis and optimization conference . 30 August–1 September , Albany, New York. AIAA Paper 2004-4460
  • Gano , S. E. , Sanders , B. and Renaud , J. E. 2005 . Hybrid variable fidelity optimization by using a Kriging-based scaling function . AIAA Journal , 43 ( 11 ) : 2422 – 2430 .
  • Gill , P. E. , Murray , W. and Wright , M. H. 1981 . Practical optimization , London : Academic Press .
  • Giunta , A. A. and Eldred , M. S. 2000 . Implementation of a trust region model management strategy in the DAKOTA optimization toolkit . American Institute of Aeronautics and Astronautics , : 1 – 8 . AIAA-2000-4935
  • Haftka , R. T. 1991 . Combining global and local approximations . AIAA Journal , 29 ( 9 ) : 1523 – 1525 .
  • Haftka , R. T. , Gürdal , Z. and Kamat , M. P. 1990 . Elements of Structural Optimization , 2. , 341 – 376 . Waterloo : Kluwer Academic Publishers .
  • Han , S. P. 1977 . A globally convergent method for nonlinear programming . Journal of Optimization Theory and Applications , 22 ( 3 ) : 297 – 309 .
  • Harth , Z. , Sun , H. and Schafer , M. 2007 . Comparison of trust-region-based and evolutionary methods for optimization of flow geometries . Engineering Optimization , 39 ( 7 ) : 797 – 810 .
  • Krause , R. F. , Luecke , W. E. , French , J. D. , Hockey , B. J. and Wiederhorn , S. M. 1999 . Tensile creep and rupture of silicon nitride . Journal of the American Ceramic Society , 82 ( 5 ) : 1233 – 1241 .
  • Kusunose , T. , Sung , R. J. , Sekino , T. , Sakaguchi , S. and Niihara , K. 2004 . High-temperature properties of a silicon nitride/boron nitride nanocomposite . Journal of Materials Research , 19 ( 5 ) : 1432 – 1438 .
  • Lane , J. E. , Carter , C. H. and Davis , R. F. 1988 . Kinetics and mechanisms of high-temperature creep in silicon-carbide: III. Sintered alpha-silicon carbide . Journal of the American Ceramic Society , 71 ( 4 ) : 281 – 295 .
  • Leary , S. , Bhaskar , A. and Keane , A. A constraint mapping approach to the structural optimization of an expensive model using surrogates . Proceedings of the 1st international workshop on surrogate modelling and space mapping for engineering optimization . November 9–11 , Lyngby, Denmark. New York : Springer .
  • Lee , J. , Jung , K. and Kwon , J. H. 2009 . The aerodynamic shape optimization of airfoils using unconstrained trust region methods . Engineering Optimization , 41 ( 5 ) : 459 – 471 .
  • Lei , S. , Shin , Y. C. and Incropera , F. 2000 . Deformation mechanisms and constitutive modeling for silicon nitride undergoing laser-assisted machining . International Journal of Machine Tools and Manufacture , 40 ( 13 ) : 2213 – 2233 .
  • Lewis , R. M. and Nash , S. G. A multigrid approach to the optimization of systems governed by differential equations . Proceedings of the 8th AIAA/USAF/NASA/ISSMO symposium on multidisciplinary analysis and optimization . September 6–8 , Long Beach, CA. AIAA Paper 2000-4890
  • Liu , G. P. , Han , X. and Jiang , C. 2008 . A novel multi-objective optimization method based on an approximation model management technique . Computer Methods In Applied Mechanics And Engineering , 197 ( 33–40 ) : 2719 – 2731 .
  • McVeigh , C. , Vernerey , F. , Liu , W. K. and Cate , L. B. 2006 . Multiresolution analysis for material design . Computer Methods in Applied Mechanics and Engineering , 195 ( 37–40 ) : 5053 – 5076 .
  • Mejía-Rodríguez , G. , Renaud , J. E. and Tomar , V. 2008 . A variable fidelity model management framework for designing multiphase materials . ASME Journal of Mechanical Design , 130 ( 9 ) 091702 (1–13)
  • More , J. J. and Sorensen , D. C. 1983 . Computing a trust region step . SIAM Journal on Scientific and Statistical Computing , 4 ( 3 ) : 553 – 572 .
  • Munro , R. G. 1997 . Material properties of a sintered alpha-SiC . Journal of Physical and Chemical Reference Data , 26 ( 5 ) : 1195 – 1203 .
  • Olson , G. B. 1997 . Computational design of hierarchically structured materials . Science , 277 ( 5330 ) : 1237 – 1412 .
  • Osio , I. G. and Amon , C. H. 2005 . An engineering design methodology with multistage Bayesian surrogates and optimal sampling . Research in Engineering Design , 8 ( 4 ) : 189 – 206 .
  • Park , H. , Kim , H. E. and Niihara , K. 1998 . Microstructure and high-temperature strength of Si3N4-SiC nanocomposite . Journal of the European Ceramic Society , 18 ( 7 ) : 907 – 914 .
  • Pelegri , A. A. and Tekkam , A. 2003 . Optimization of laminates’ fracture toughness using design of experiments and response surface . Journal of Composite Materials , 37 ( 7 ) : 579 – 596 .
  • Perez , V. M. , Renaud , J. E. and Watson , L. T. Reduced sampling for construction of quadratic response surface approximations using adaptive experimental design . Proceedings of the 43rd AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference . April 22–25 , Denver, Colorado. AIAA Paper 2002-1587
  • Perez , V. M. , Renaud , J. E. and Watson , L. T. 2004 . An interior-point sequential approximate optimization methodology . Structural Optimization , 27 ( 5 ) : 360 – 370 .
  • Powell , M. J.D. 1970 . A new algorithm for unconstrained optimization , New York : Academic Press .
  • Powell , M. J.D. 1978a . The convergence of variable metric methods for nonlinearly constrained optimization calculations , New York : Academic Press .
  • Powell , M. J.D. 1978b . A fast algorithm for nonlineary constrained optimization calculations , Berlin : Springer Verlag .
  • Qian , Z. , Seepersad , C. C. , Joseph , V. R. , Allen , J. K. and Wu , C. F.J. 2006 . Building surrogate models based on detailed and approximate simulations . Journal of Mechanical Design , 128 ( 4 ) : 668 – 677 .
  • Rodriguez , J. F. , Perez , V. M. , Padmanabhan , D. and Renaud , J. E. 2001 . Sequential approximate optimization using variable fidelity response surface approximations . Structural and Multidisciplinary Optimization , 22 ( 1 ) : 24 – 34 .
  • Rodriguez , J. F. , Renaud , J. E. and Watson , L. T. 1998a . Convergence of trust region augmented Lagrangian methods using variable fidelity approximation data . Structural Optimization , 15 ( 3–4 ) : 141 – 156 .
  • Rodriguez , J. F. , Renaud , J. E. and Watson , L. T. 1998b . Trust region augmented Lagrangian methods for sequential response surface approximation and optimization . ASME Journal of Mechanical Design , 120 ( 1 ) : 58 – 66 .
  • Rodriguez , J. F. , Renaud , J. E. , Wujek , B. A. and Tappeta , R. V. 2000 . Trust region model management in multidisciplinary design optimization . Journal of Computational and Applied Mathematics , 124 ( 1 ) : 139 – 154 .
  • Rouxel , T. and Besson , J. L. 1997 . Viscoplastic forming of Si3N4-based ceramic and glass-matrix particulate composites . Journal of the European Ceramic Society , 17 ( 1 ) : 1963 – 1966 .
  • Sawaragi , Y. , Nakayama , H. and Tanino , T. 1985 . Theory of multi-objective optimization , Orlando : Academic Press .
  • Seepersad , C. C. , Allen , J. K. , McDowell , D. L. and Mistree , F. 2006 . Robust design of cellular materials with topological and dimensional imperfections . Journal of Mechanical Design , 128 ( 6 ) : 1285 – 1297 .
  • Seepersad , C. C. , Kumar , R. S. , Allen , J. K. , Mistree , F. and McDowell , D. L. 2004 . Multifuctional design of prismatic cellular materials . Journal of Computer-Aided Material Design , 11 ( 2/3 ) : 163 – 181 .
  • Sobieszczanski-Sobieski , J. 1990 . Sensitivity of complex, internally coupled systems . AIAA Journal , 28 ( 1 ) : 153 – 160 .
  • Tappeta , R. V. and Renaud , J. E. 1999 . Interactive multi-objective optimization procedure . AIAA Journal , 37 ( 7 ) : 881 – 889 .
  • Tappeta , R. V. and Renaud , J. E. 2001 . Interactive multi-objective optimization design strategy for decision based design . Journal of Mechanical Design , 123 ( 2 ) : 205 – 215 .
  • Tomar , V. and Zhou , M. 2005 . Deterministic and stochastic analyses of dynamic fracture in two-phase ceramic microstructures with random material properties . Engineering Fracture Mechanics , 72 ( 12 ) : 1920 – 1941 .
  • Wiederhorn , S. M. , Hockey , B. J. and French , J. D. 1999 . Mechanisms of deformation of silicon nitride and silicon carbide at high temperatures . Journal of the European Ceramic Society , 19 ( 12 ) : 2273 – 2284 .
  • Wiederhorn , S. M. and Luecke , W. E. 1998 . “ Creep of silicon nitride ” . In Computer aided design of high temperature materials , Edited by: Pechenik , A. , Kalia , R. K. and Vashishta , P. Oxford : Oxford University Press .
  • Wujek , B. A. and Renaud , J. E. 1998a . A new adaptive move-limit management strategy for approximate optimization. Part 1 . AIAA Journal , 36 ( 10 ) : 1911 – 1921 .
  • Wujek , B. A. and Renaud , J. E. 1998b . A new adaptive move-limit management strategy for approximate optimization. Part 2 . AIAA Journal , 36 ( 10 ) : 1922 – 1937 .
  • Yoon , K. J. , Wiederhorn , S. M. and Luecke , W. E. 2000 . Comparison of tensile and compressive creep behavior in silicon nitride . Journal of the American Ceramic Society , 83 ( 8 ) : 2017 – 2022 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.