SYMPOSIUM PARTICIPANTS

Abel, J. Cornell University Ithaca, NY 14853

Anderson, W. J. The University of Michigan Ann Arbor, MI 48109

Arora, J. S. University of Iowa Iowa City, IA 52242

Atrek, E. Engineering Mechanics Research Corp. Troy, MI 48099

Babui!ka, I. University of Maryland College Park, MD 20742

Barone, M. R. General Motors Research Laboratories Warren, MI 48090-9055

Barthelemy, B. Virginia Polytechnic Institute and State University Blacksburg, VA 24061

Beers, M. University of California-Santa Barbara Santa Barbara, CA 93106

Belegundu, A. D. Pennsylvania State University University Park, PA 16802

Benedict, R. L. Goodyear Tire & Rubber Company Akron, OH 44316

Bennett, J. A. General Motors Research Laboratories Warren, MI 48090-9055

Berke, L. NASA Lewis Research Center Cleveland,OH 44135

Bernhard, R. J. Purdue University West Lafayette, IN 47907

Blaser, D. A. General Motors Research Laboratories Warren, MI 48090-9055

Botkin, M. E. General Motors Research Laboratories Warren, MI 48090-9055

Boyse, J. W. General Motors Research Laboratories Warren, MI 48090-9055

Brown, K. W. Pratt & Whitney Aircraft East Hartford, CT 06108

Burns, S. University of Illinois Urbana, IL 61801

Buzan, L. R. General Motors Research Laboratories Warren, MI 48090-9055

Cannon, D. Sverdrup Technology, Inc. Tullahoma, TN 37388

Cavendish, J. C. General Motors Research Laboratories Warren, MI 48090-9055

Chang, D. C. CPC Group General Motors Corporation Pontiac, MI 48058-1493

Cheng, F. Y. University of Missouri - Rolla Rolla, MO 65401

Chian, C-T. Jet Propulsion Laboratory Pasadena, CA 91109

Choi, K. K. University of Iowa Iowa City, IA 52242

Chon, C. T. Ford Motor Company Dearborn, MI 48121

399

400

Chun, Y. W. Villanova University Villanova, PA 19085

Chung, K. The University of Michigan Ann Arbor, MI 48109

Consentino, G. B. NASA Ames Research Center Moffet Field, CA 94035

Cox, J. Garret Turbine Engine Company Phoenix, AZ 85010

Davis, M. W. United Technologies Research Center East Hartford, CN 06108

DeVries, R. Ford Motor Company Dearborn, MI 48121

Dodd, G. G. General Motors Research Laboratories Warren, MI 48090-9055

Dopker, B. University of Iowa Iowa City, IA 52242

Eason, E. D. Failure Analysis Associates Palo Alto, CA 94303

Eisley, J. G. The University of Michigan Ann Arbor, MI 48109

Esselink, L. General Motors Current Engineering and Manufacturing Services Staff Warren, MI 48090-9010

Fenyes, P. A. Cornell University Ithaca, NY 14853

Field, D. A. General Motors Research Laboratories Warren, MI 48090-9055

PARTICIPANTS

Fleury, C. University of California-Los Angeles Los Angeles, CA 90024

Frey, W. H. General Motors Research Laboratories Warren, MI 48090-9055

Friedman, D. Computervision Corporation Bedford, MA 01730

Frosch, R. A. General Motors Research Laboratories Warren, MI 48090-9055

Gallagher, R. H. Worcester Polytechnic Institute Worcester, MA 01609

Grandhi, R. V. Wright State University Dayton, OH 45435

Grierson, D. E. University of Waterloo Waterloo, Ontario, Canada

Haber, R. University of Illinois Urbana, IL 61801

Haftka, R. T. Virginia Polytechnic Institute and State University Blacksburg, VA 24061

Haug, E. J. University of Iowa Iowa City, IA 52242

Holzwarth, J. C. General Motors Research Laboratories Warren, MI 48090-9055

Hou, J. W. Old Dominion University Norfolk, VA 23508

Howell, L. J. General Motors Research Laboratories Warren, MI 48090-9055

PARTICIPANTS

Hurst, T. Brigham Young University Provo, UT 84602

Izadpanah, K. The MacNeal-Schwendler Corporation Los Angeles, CA 90041

Johnston, L. E. Electronic Data Systems Warren, MI 48090-9010

Kamal, M. M. General Motors Research Laboratories Warren, MI 48090-9055

Kamel, H. A. University of Arizona Tucson, AZ 85721

Kane, J. University of Bridgeport Bridgeport, CT 06602

Katnik, R. B. CPC Group General Motors Corporation Warren, MI 48090-9060

Katz, S. General Motors Research Laboratories Warren, MI 48090-9055

Kikuchi, N. The University of Michigan Ann Arbor, MI 48109

Kirsch, U. Technion - Israel Institute of Technology Haifa, 32000, Israel

Kline, K. A. Wayne State University Detroit, MI 48202

Klosterman, A. L. Structural Dynamics Research Corp. M'ilford,OH 45150

Kohn, R. Courant Institute of Mathematics New York, NY 10012

Kothawala, K. S. Engineering Mechanics Research Corp. Troy, MI 48099

Kumar, V. General Electric Company Schenectady, NY 12301

Landefeld, C. F. General Motors Research Laboratories Warren, MI 48090-9055

Leucht, P. M. General Motors Truck & Bus Group Pontiac, MI 48053

Levy, R. Jet Propulsion Laboratory Pasadena, CA 91103

Lust, R. V. General Motors Research Laboratories Warren, MI 48090-9055

Magee, C. Ford Motor Company Dearborn, MI 48121

Manning, R. University of California-Los Angeles Los Angeles, CA 90024

McDonald, R. J. General Motors Research Laboratories Warren, MI 48090-9055

Miura, H. NASA Ames Research Center Moffet Field, CA 94035

Mohanty, B. P. Allison Gas Turbines Division General Motors Corporation Indianapolis, IN 46206-0420

Mota Soares, C. A. Centro de Mecanica e Materiais da Universidade Tecnica de Lisboa 1096 Lisboa, Portugal

Mr6z, Z. Polish Academy of Science 00-049 Warsaw, Poland

401

402

Muench, N. L. General Motors Research Laboratories Warren, MI 48090-9055

Nack, W. General Motors Current Engineering and Manufacturing Services Staff Warren, MI 48090-9010

Narayanaswami, R. Computerized Structural Analysis and Research Corporation Northridge, CA 91324

Nelson, M. F. General Motors Advanced Concepts Center Newbury Park, CA 91320

Oh, K. P. General Motors Research Laboratories Troy, MI 48084

Parkinson, A. Brigham Young University Provo, UT 84602

Prasad, B. Electronic Data Systems Warren, MI 48090

Pratt, T. K. Pratt & Whitney Aircraft East Harford, CT 06108

Rai, N. S. CPC Group General Motors Corporation Warren, MI 48090-9060

Rajan, S. D. Arizona State University Tempe, AZ 85287

Rosalik, J. J. BOC Group General Motors Corporation Detroit, MI 48232

Rouse, N. Machine Design Magazine Cleveland, OH 44114

Saigal, S. Purdue University West Lafayette, IN 47907

Sandgren, E. University of Missouri Columbia, MO 65201

Sarigul, N. Ohio State University Columbus, OH 43210

Schmit, L. A.

PARTICIPANTS

University of California-Los Angeles Los Angeles, CA 90024

Shephard, M. S. Rensselaer Polytechnic Institute Troy, NY 12181

Sobieski, J. NASA Langley Research Center Hampton, VA 23665

Song, J. O. General Motors Research Laboratories Warren, MI 48090-9055

Spewock, N. A. Electronic Data Systems Warren, MI 48090

Stanton, E. L. PDA Engineering Santa Ana, CA 92705-5475

Steinetz, B. M. NASA Lewis Research Center Cleveland, OH 44135

Striz, F. University of Oklahoma Norman, OK 73019

Stroud, W. J. NASA Langley Research Center Hampton, VA 23665

Suh, C. Advanced Engineering Staff General Motors Corporation Warren, MI 48090-9010

Swanson, J. A. Swanson Analysis Systems, Inc. Houston, PA 15342-0065

PARTICIPANTS

Szabo, B. A. Washington University St. Louis, MO 63130

Taylor, J. The University of Michigan Ann Arbor, MI 48109

Thompson, E. G. Colorado State University Fort Collins, CO 80523

Torigaki, T. The University of Michigan Ann Arbor, MI 48109

Trompette, Ph. French National Institute of Science 69621 Villeurbanne, France

Tuesday, C. S. General Motors Research Laboratories Warren, MI 48090-9055

Vanderplaats, G. N. University of California-Santa Barbara Santa Barbara, CA 93107

Vasilopoulos, D. General Motors Research Laboratories Warren, MI 48090-9055

Vella, J. CPC Group General Motors Corporation Pontiac, MI 48058-1493

Venkayya, V. B. Wright-Patterson AFB Dayton,OH 45433

Vogt, J. M. CPC Group General Motors Corporation Pontiac, MI 48058-1493

Wang, B. P. University of Texas Arlington, TX 76019

Wilde, D. J. Stanford University Stanford, CA 94305

Yerry, M. Aries Technology Incorporated Lowell, MA 01854

Zienkiewicz, O. C. University of Wales-Swansea Swansea SA2 8PP, United Kingdom

Wilson, C. The MacNeal-Schwendler Corporation Los Angeles, CA 90041

Yang, R. J. General Motors Research Laboratories Warren, MI 48090-9055

403

405

AUTHOR AND CONTRIBUTOR INDEX

The page numbers for bibliographic citations appear in italics

Abel, Jo Fo, 199, 166, 256 Adams, Jo Ao, 949 Adamczyk, To, 201, 202 226 Afimiwala, K. Ao, 278 Aidala, Po Vo, 266 278 Alarcon, Eo, 217 227 Anderson, Wo Jo, 382 Arantes Oliveira, Eo Ro de, 199, 166 Arora, Jo So, 79, 292 Atrek, Eo, 50, 73-4, 137, 192, 230-1, 292-4 Avia, Lo, 217, 227 Aziz, Ao K., 55, 949

Babulika, I., 4, 21, 55, 199, 194, 140 152, 155 165,166,171-197,256,949

Baehmann, Po Lo, 199 Ball, Ho Go, 279 Banerjee, Po K., 55, 206, 216, 227 Banichuk, No Vo, 54, 140 165, 192, 220, 222,

227 Bank, R. E., 194 Barlow, Jo, 79 Barone, Mo Ro, 202, 227 Barr, Ao Ho, 19.~ Barthelemy, Jo Fo, 997 Baudron, Ao Mo, 292, 295 Belegundu, Ao Do, 79, 108 Bends0e, Mo Po, 349, 961, 962 Benedict, Ro Lo, 220, 228, 383 Bennett, Jo Ao, 19, 21, 22, 72, 114, 123, 129,

192, 235-62, 920, 962, 368, 979, 381 Bernhard, Ro Jo, 230 Bhavikatti, So So, 292 Bishop, Ao Wo, 279 Blaherty, Jo Eo, 166 Blaisdell, Go Ao, 278 Botkin, Mo Eo, 19, 21,22,54,61-77, 114, 123,

129, 192, 235-262, 920, 962, 368, 979, 386, 387, 388, 390, 391, 395

Boudreaux, Wo L., 267, 278 Boyse, Jo Wo, 192 Braiba.p.t, Vo, 54, 192, 256, 319 920, 354 961,

979 Brebbia, Co Ao, 55, 206, 227 Brown, K. Wo, 76 Burczynski, To, 201, 202, 226 Burd, Go So, 199 Butterfield, R., 55, 206, 216, 227

Campbell, Jo So, 18, 21,67, 79, 192, 140, 165, 226, 255, 292

Cantin, Go, 21 Casale, Mo So, 373, 978, 979 Caulk, Do Ao, 202, 227 Cavendish, Jo Co, 199, 256 Cayley, Sir George, 264, 277 Cea, Jo, 54, 358, 961 Celniker, Lo, 279 Cham, To Po, 278 Chandra, Jo, 166 Chang, K. Jo, 997 Cheng, K-To, 349, 961 Cherkaev, Ao Vo, 962 Choi, K. K., 22, 29-60, 79, 104, 105, 194, 140,

165, 199-231, 256, 257, 292, 329-52, 355, 961, 387, 388, 390, 391

Chun, Yo Wo, 22 Chung, K. Yo, 139-69,354,355, 961 Ciarlet, Po Go, 192 Conner, Jo Jo, 256 Cook, Ro Do, 194, 949 Cook, Wo Ao, 192 Craig, Ao Wo, 3-27 Curtain, Ro Fo, 79

Danilin, Jo Mo, 227 Davis, Wo Ho, 266, 278 Dems, K., 22, 54, 104, 105, 140, 165 DeSilva, Bo Mo Eo, 18, 22 Destuynder, Po, 192 Diaz, Ao, 356 961 Dorr, Mo Ro, 21, 199, 165

Eizadian, Do, 202, 226, 227, 292

Fairweather, Go, 206, 227 Fedorov, Ao Vo, 962 Field, Do Ao, 133 Fleury, Co, 054, 58-9, 77, 192, 134-5, 136, 169,

256,258,280,281,295, 297-326, 961, 363, 368, 979, 386, 387, 393, 395,396

Fomin, So Wo, 211, 227 Fontein, Ho Jo, 278 Forrest, Ao Ro, 920

406

Francavilla, A., 18, 19, 22, 54, 79, 140, 143, 165,257,292

Francfort, G. A., 962 Frederick, M. C., 949 Frey, W. H., 199,256 Friedland, L. R., 19, 29 Fuhs, A. E., 278 Fulton, R. E., 278 Futagami, T., 202 227

Gago, J. P. de S. R., 21, 166 Gallagher, R. H., 3-27, 199, 166, 192, 234, 256,

259, 368, 378, 979 Garberoglio, J. E., 257, 278 Gelfand,!. M., 211, 227 Gordon, W. J., 192 Grandhi, R. V., 256 Greenberg, D. P., 199 Gregory, T., 278 Gressel, G. S., 256 Grierson, D. E., 56-7, 260, 279-81, 294 Gui, W., 194 Guo, B., 192

Haber, R. B., 26, 199, 136, 229-30, 279 Haftka, R. T., 1, 54, 56, 74, 104, 105, 193, 256,

257,294, 920, 326 Hague, D. S., 266, 277 Hall, C. A., 192 Hansen, D. C., 199 Hartmann, F., 216, 227 Haug, E. J., 19, 21, 22, 29-60,62, 79, 74, 77,

104,105,107-8,109,194,135,140,165,166, 195-6, 201, 209, 214, 217, 220, 226, 227, 228, 256, 257, 259, 292, 949, 961, 388, 390, 391

Hedderich, C. P., 278 Heldenfels, R. R., 279 Hicks, R. M., 266, 277, 278 Hinton, E., 292 Hou, J. W., 22,54,79,217,227,228,256,949

Imam, M. H., 18, 22, 192, 256 Ivey, R. L., 979 Izadpanah, K., 24-6, 350-1

Jackins, C. L., 199 Jenkins, J. L., 278 Johnson, C. M., 278

AUTHOR AND CONTRIBUTOR INDEX

Kamat, M. P., 54, 105 Kamel, H. A., 260-1, 382 Kane, J., 262 Kantorovich, L. V., 199 Katz,!. N., 192 Kecs, W., 54 Kelleher, M. D., 278 Kelly, D. W., 21,166 Kikuchi, N., 22, 54, 199, 139-69,355, 961 Kline, K. A., 258 Kohn, R. V., 107, 199, 196, 962, 381, 382 Komkov, V., 54, 79, 104, 201, 209, 214, 226,

256,949 Kristensen, E. S., 19, 22 Krylov, V. I., 199

Lallemand, C., 283-95 Larsen, S., 199 Leal, R. P., 201, 217, 226 Lee, R. E., 18, 22 Lee, V. A., 279 Lev, 0., 18, 21 Levy, R., 326 Li, X-K., 21 Lores, M. E., 266, 278 Loubignac, G., 21, 26 Lurie, K. A., 962 Lust, R. V., 322

Madsen, L. E., 292 Madsen, N. F., 19, 22, 140, 165 Marcelin, J. L., 283-295 Marto, P. J., 278 Mason, W. H., 266, 278 McLeod, J. D., 279 Meager, D., 199 Meric, R. A., 22, 202, 227 Mesztenyi, C. K., 194 Middleton, J., 19, 22 Miller, A., 194, 166, 192 Miller, K., 194 Miller, R., 194 Mironov, A., 105 Miura, H., 278, 352 Mizukarni, K., 201, 226 Moran, W. J., 279 Morgenstern, D., 199 Morris, A., 363 Mortenson, M. E., 978 Mota Soares, C. A., 55, 57, 199-231, 292, 387 Mr6z, Z., 22, 54, 76-77, 79-110, 168, 261,

379-80

AUTHOR AND CONTRIBUTOR INDEX

Mullen, R. L., 217, 227 Murat, F., 962 Murman, E. M., 266, 277

Na, M. S., 19, 22, 5.4, 140, 165, 358, 961 Nakazawa, S., 21 Nelson, R. B., 278 Newman, W. M., 920 Nguyen, V. Ph., 199

Oda, J., 140, 157, 165, 166 Olhoff, N., 140, 165, 349, 961, 962 Oliveira Faria, L. M., 55, 201, 226,292 Ong, T. G., 962

Pagano, N. J., 377, 979 Palen, J. W., 278 Peer, M., 278 Petryk, H., 10.4 Pickett, M. S., 192 Pickett, R. M., 278 Pironneau, D., 199, 201, 202, 226 Plaut, R. H., 105 Prager, W., 19, 22, 962 Prasad, B., 55, 75-6, 105, 168-9, 230, 294,

324-5 Pritchard, A. J., 79 Pshenichny, B. N., 210, 213, 227

Queau, J. P., 18, 22, 140, 165, 292

Rabier, P., 192 Ragsdell, K., 192 Rajan, S. D., 320-2 Ramakrishnan, C. V., 18, 22, 5.4, 79, 140, 143,

165,257,292 Rencis, J., 227 Requicha, A. A. G., 192 Revester, A., 217, 227 Rheinboldt, W. C., 21, 199, 19.4, 165, 256 Ricketts, R. E., 18, 20, 21 Riley, K. M., 997 Rivara, M. C., 19.4 Rizzo, F. J., 206, 227 Rodrigues, H. C., 55, 201, 226, 292 Rogers, D. F., 9.49 R088OW, M. P., 359, 961 Rousselet, B., 105 Rozendaal, H. G., 266, 277 Rozvany, G. I. N., 961, 962 Ruginstein, M. G., 278

407

Santos, J. T. L., 9.49 Schmit, L. A., 26, 59-60, 79, 106, 195, 228,

255,264,266,277,278,281,920,351,386-97 Schnack, E., 19, 22, 160, 166, 292 Schuperth, E. R., 279 Seguchi, Y., 19,29 Seong, H. G., 55, 329-52, 390 Shephard, M. S., 113-37, 140, 166, 256 Sherman, A. H., 19.4 Shippy, D. J., 206, 227 Singh, S., 19, 29 Sluiter, M. L. C., 199 Smith, P. R., 266, 278 Sobieszcanski-Sobieski, J., 278, 327, 997 Sohoni, V. M., 217, 227, 9.49 Sokolnikoff, J. S., 5.4 Song, J. 0., 18, 22, 267, 278 Spillars, W. R., 19, 29 Sproul, R. F., 920 Stadler, W., 264, 277 Stanton, E. L., 366-83, 386 Starnes, J. H., 920 Strang, G., 199, 962 Straub, W. L., 279 Stroud, W. J., 380 Sun, Y., 18, 22, 368, 378, 979 Suri, M., 192 Svanberg, K., 997 Swanson, J. A., 259-60, 325 Szabo B. A., 23, 111, 19.4, 166, 167, 192, 199,

196,197 Szelag, D., 105 Szeto, W. T., 962

Taborek, J., 278 Tada, Y., 19, 29 Tanimoto, S. L., 199 Tartar, L., 962 Taylor, J. E., 22, 5.4, 57-8, 74, 108, 139-69,

293, 353-63, 382 Telles, J., 206, 227 Teodorescu, P. P., 5.4 Thomasma, T., 199 Thornton, W. A., 266, 277 Tomovic, R., 10.4 Torigaki, T., 139-69 Touzot, G., 21 Toyoshima, S., 21 Trompette, Ph., 18, 22, 140, 165, 202, 227,

283-95 Tvergaard, V., 140, 165

408

Vanderplaats, G. N., 18, 21, 255, 257, 264-81, 295, 9eD, 374, 396

Vasilopoulos, D., 23-4, 109, 228, 351 Venkayya, V. B., 168, 194,323-4 Vilotte, J-P., 21 Vitiello, F., 18, 22 Voelcker, H. B., 192 Vogelius, M., 166, 199 von Karman, T., 264, 277 Vukabratovic, M., 104

Wallace, R. E., 279 Walker, S., 55 Wang, C-T., 997 Wang, S. Y., 18, !!e, 368, 378, 979 Wassink, J. G., 278 Weidner, T. J., 199 Weisner, A., 194 Wilde, D. J., 168, 362-3 Will, G., 256 Wilson, C., 261

AUTHOR AND CONTRIBUTOR INDEX

Winslow, A. M., 154, 166 Woo, T. C., 199 Woodward, F. A., 266, 277 Wordenweber, B., 199 Wrobel, L., 206, 227 Wu, Y. S., 206, 227

Yamazaki, K., 140, 157, 165, 166 Yang, R-J., 54, 55,61-77,192, 2eB,

235-62, 388, 390, 391 Yehia, N. H. B., 199 Verry, M. A., 113-37, 256 Yoo, Y. M., 22, 54, 79, 2eB, 251, 256, 257

Zave, P., 194 Zhu, J. Z., 3-27 Zienkiewicz, O. C., 3-27, 54,67, 79, 192, 199,

140, 165,166,192,226,255,258, 292,388 Zochowski, A., 201, 226 Zolesio, J. P., 54, 949

409

SUBJECT INDEX

Adjoint variable method, 36-9, 47, 58, 65, 66, 76, 81, 83-85, 90, 97, 100, 214-5, 245, 286, 336 (see also Design sensitivity analysis)

Aerodynamic shape optimization, 265-8, 276, 279

Aircraft, 265, 271-5 engine, 267 supersonic, 276 turret, 267 wing, 202, 267, 272-4

Airfoil, 202, 266-7,' 268, 279 Analysis modeling, 385, 386-8

(see also Boundary element method; Finite element method)

Approximation concepts, 253, 266,301, 321-5,394

Automotive components, 235-62, 269 Axisymmetric structures, 283-95, 312-4

B-splines, 298, 306, 313, 315, 325, 354 Beam, 73, 77, 181-8, 320-2, 324, 331-2,

341-6 cantilever, 9, 12-4, 23, 68-70

Behavior sensitivity analysis, see Design sen-sitivity analysis, behavior

Bezier control points, 368, 373 Bezier curves, 298, 313, 316 Bone mechanics, 366, 368, 381-3 Boundary element method, 30, 39-44, 57, 59,

199-231 assessment of, 48-53, 59, 200, 228, 387-8 comparison to finite element method,

218-20, 229-30 development of, 201-3 shafts, 203-6, 209-11, 219-23 two-dimensional elasticity, 203-9

Boundary integrals, 39-44, 48-52, 59, 65, 211, 330, 390 (see also Design sensitivity analysis, behavior)

Boundary loading, 76-7, 212 Boundary motion, 152, 340 Boundary, stochastic, 188-91 Brachistochrone problem, 373, 375 Bracket, 244, 250, 251, 314-7 Brake drum, 269 Built-up structures, 48, 52, 329-52

Composite materials, 49-52, 93, 281, 360, 365-83

Connecting rod, 251-4, 368-71

Constraints, design, 46, 196, 259, 266, 270, 284,323-4 (see also Stress, constraints)

Constructive solid geometry, 115, 117, 134-5 (see also Geometric modeling; Solid mod-

eling) Convergence, 4, 25, 146, 159, 239, 257, 324 Convergence rate, 122, 146, 176, 239 Coons patches, 298, 314-6 Costs, 7, 8, 24, 55 Cost function, 30, 348 Cracks, 76-7, 103, 106-7, 123, 188-91, 195

Delaunay triangulation, 119 Design modeling, 20, 236-44, 298-301,

313-7,367-73,385-6 (see also Geometric modeling)

Design sensitivity analysis, behavior, 62-77, 79-104,130-1,136,284,330-1,388-93 geometric, 373-8 implicit differentiation approach, 62-3,

66-77, 245, 390 variational approach, 19, 29-60, 63-77,

79-104, 130-31,245-8,331-42 Design sensitivity analysis, optimum, 388-9 Design variables, 74, 236-8, 242-4, 259, 265,

270, 272-3, 279, 284, 299-300, 312-6, 333, 341, 350, 377, 385-6

Design velocity, 33, 34, 36 Discretization, 391, 393

error, 120, 121, 354, 357 methods, 353-4 order of, 30, 48-52, 58-9, 390 (see also Finite element method)

Dislocation, 109-10 Distortion, 137 Distributed parameter structural design, 330 Domain integrals, 35, 43, 44-52, 59, 211,

390-1 Dual problem, 280-1, 307-12, 322-4

Effectivity index, 8-9, 12-4, 24-5 Errors, 4-14, 23, 24, 25, 26, 120, 121, 122,

127,146-55,166,169, 193-5,239,354,388 discretization, 120, 121,354,357 interpolation, 148-9

Error norms, 5-6, 9, 12, 121 energy, 5, 6, 14, 23, 121 stress, 6, 8, 24

Failure criterion, 40, 184, 186, 191 Fibers, 281, 380

410

Fields displacement, 58-9 velocity, 36, 40, 58-9, 65, 136, 334, 340,

345 Fillet design, 49-50, 140, 144, 159-60, 164,

224-5, 284-5, 354-6 Finite element grid, see Mesh generation Finite element method, 30, 44. 114, 140, 285,

341,343-4,351-2,355,387 adaptive, 3-27, 121-3, 139-65 approximation error, 4-18, 147-150, 154,

166 assessment of, 200, 283-4, 350 comparison to boundary element method,

218-20, 229-30 development, 140 displacement method, 30-1, 56, 144-51,

391 for solids, 113-32, 244-5

Frequency constraints, 259

Galerkin method, 121, 229, 341 Gateau.x derivative, 64 Gauss point, 48, 59, 60, 69, 228, 287, 351, 352 Gear tooth, 156 Generic model, 251, 325 Geometric communication operator, 130 Geometric modeling, 130, 134-6, 152,

259-61, 313-6 analytic solid, 367-73 interactive graphics, 241-4, 297-8, 318-9,

368,395-6 material, 368-72 solid, 114-6, 117-8, 129-31, 134-6 surface, 115, 136 wireframe, 115

Grids, see Mesh generation

h method, see Mesh generation Heat exchanger, 270 Helicopter rotor blade support, 287-92 Hellinger-Reissner variational principle, 388 Hermite cubic functions, 343, 345, 367, 373,

375,378 Hinge, 107-8 Holes, 162, 354, 355

circular, 135 elliptical, 169 in square plate, 156-8, 222-4, 230, 298-9 introduction of, 60, 107, 358-60 (see also Shafts)

Implicit differentiation, see Design sensitivity analysis

SUBJECT INDEX

Interactive graphics, 241-4, 297-8, 318-9, 368,395-6

Interface between different materials, 49-52, 93-6

Kantorovich method, 178 Kirchhoff hypothesis, 178-80, 196, 350 Kuhn-Tucker conditions, 143

Lagrange multiplier, 82, 99, 108, 142, 143, 287,310

Laplace equation, 203-5, 210, 211 Loads, 39, 44, 73-4, 76

multiple, 240, 284, 326, 387 stochastic, 184-7

Local measures, 97, 141-4 Loubignac-Catlin technique, 26, 131

Material derivative, see Design sensitivity analysis, variational approach

Mathematical programming, 20, 270, 309, 323 Mesh generation, 244, 247-50, 258-60, 284,

387 adaptive, 3-27, 123, 127, 139-69, 238-40,

387 h method, 4, 10, 11, 17, 122, 123, 126,

153-7, 163, 175 P method, 4, 122, 153, 175-6, 183 r method, 4, 122, 153-6, 157, 162, 167

automatic, 116-37, 127, 130, 132, 136, 237-8 boundary stresses and, 216-7 modified octree, 119, 123-9, 137 solid modeling and, 129-31, 134-36 spatial decomposition, 119 volume triangulation, 19, 119

Mesh patches, 116, 120, 136, 237, 245, 261, 298,314-6

Mesh smoothing, 129, 131, 137 Michell trusses, 168, 361 Microstructure, 360-1, 381 Minimization of

area, 169 compliance, 212-3 mass, 18-19, 235-6, 301 stress, 19, 143, 295, 354

Mohr circle, 186, 187, 189, 191 Monte Carlo method, 196 Multicriteria optimization, 355-7 Multidisciplinary design problem, 264-81,

396

Newton-Raphson method, 105

SUBJECT INDEX

Nodes, 13, 27, 58, 67, 114, 124-5, 145-7, 153-5, 241-3, 316, 386

Nonlinear programming problem, 300 Nonlinear structures, 85-6

Optimality conditions, 100, 140, 144-6 Optimization method, 18-9, 140-4, 241-4,

265,393-6 ADS, 321, 373-5, 378, 393 augmented Lagrange, 142, 287 CONLIN, 301, 302, 309-26, 393-5 CONMIN, 255, 301, 302, 324 constraint linearization, 300-1, 306-8 generalized reduced gradient, 105 SIMPLEX, 300, 303, 304 sequential linearization, 18,20,300-1,303 sequential quadratic, 304-5 Pshenichny's linearization, 200, 331, 341 projection, 308

p method, see Mesh generation Patches, see Mesh patches Photoelasticity method, 30, 160, 164 Piston design, 261 Plate, design, 70-1, 140, 158, 195, 298, 302,

320,321,332-3,341-6,351,360 loaded,223-4 reinforced, 101-4, 181, 193 simply supported, 178-80 triangular elements, 27 variable thickness, 180-1, 195 (see also Holes)

Poisson equation, 203, 206, 210, 211 Pole design, 157, 159-62

r method, see Mesh generation Refine point, 126, 127 Reciprocal variables, 266, 303, 306-9, 324 Refinement, see Mesh generation Reliability, 171-97

mathematical model, 172-5, 194 numerical model, 175-8, 194

Reissner-Mindlin plate formulation, 179-80, 196,351

Richardson extrapolation, 13 Rod, 251-4, 368-71

Shafts, 203-6, 209-12, 217-22 Shape design sensitivity, see Design sensitivity

analysis Sheet metal parts, 236-44, 248-51, 254-5 Shell, 157, 178, 320 Ship design, 274-5, 277 Singularities, 26, 175

Sobolev derivative, 58 Solid modeling, see Geometric modeling Somigliana's identity, 206

411

Speed method, see Design sensitivity analysis, variational approach

Splines, 241, 260, 298, 313, 325, 354 Steam condenser, 270, 272, 279 Stochastic boundary problems, 188-92, 194,

196 Strain energy density, 30, 213-6, 222, 228,

239,261,292-4 Stress, 31, 39-44, 75, 131, 175-7, 186-91,

246, 286, 295, 336 amplification factor, 387 boundary, 44, 216-7, 388 constraints, 30, 213-6, 222, 228, 230, 239,

261, 287-90, 292-4 fringes, 160, 164 Gauss point, 69, 228, 286, 287 intensity factor, 186-91 local, 7-8, 24, 57, 58, 97, 109 smoothing, 8, 13, 14-29, 26, 27 tangential, 218, 284, 285 von Mises, 31, 49-51, 53,159-60,213,252,

284 Stress-strain relation, 31, 83, 85 Structural analysis, see Boundary element

method; Finite element method; Photo­elasticity method

Structural performance measures, 30-1 Structural remodeling, 19

(see also Mesh generation)

Temperature gradient, 352 Thermal systems, 202, 269-70 Topology, 116, 120, 125, 127, 129, 131 Torsional rigidity, 203-6, 228 Traction-free surface, 191 Traction recovery method, 229-30 Triangular plate elements, 27 Trusses, 168, 326, 361, 386 Turbine blade root, 357 Turbine disks, 18, 312-4, 319, 386

Velocity field, 36, 40, 48, 58, 65, 136, 334, 340, 345

Von Mises equivalent stress, 49, 50, 142, 156, 159-60,

314 failure criterion, 40

Wing design, 202, 267, 272-3 Wolff's law, 381-2