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Optimal shape design as a material distribution problem

Bendsøe, M. P.·1989·Structural Optimization

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Research works printed but not linked: 23

  1. Avellaneda, M. 1987: Optimal bounds and microgeometries for elastic two-phase composites.SIAM J. Appl. Math. 47, 1216–1228 · doi:10.1137/0147082
  2. Bendsøe, M.P. 1983: On obtaining a solution to optimization problems for solid, elastic plates by restriction of the design space.J. Struct. Mech. 11, 501–521 · doi:10.1080/03601218308907455
  3. Bendsøe, M.P. 1986: Generalized plate models and optimal design. In: Eriksen, J.L.; Kinderlehrer, D.; Kohn, R.; Lions, J.-L., (eds.)Homogenization and effective moduli of materials and media, the IMA volumes in mathematics and its applications, pp. 1–26. Berlin, Heidelberg, New York: Springer
  4. Bendsøe, M.P.; Kikuchi, N. 1988: Generating optimal topologies in structural design using a homogenization method.Comput. Meth. Appl. Mech. Engrg. 71, 197–224 · DOI · Paper page
  5. Bendsøe, M.P.; Rodrigues, H.C. 1989: Integrated topology and boundary shape optimization of 2-D solids.MAT-Report No.1989–14, Math. Inst., Techn. Univ. of Denmark, DK-2800 Lyngby
  6. Bensousson, A.; Lions, J.-L.; Papanicolaou, G. 1978:Asymptotic analysis for periodic structures. Amsterdam: North-Holland
  7. Bourgat, J.F. 1977: Numerical experiments of the homogenization method for operators with periodic coefficients.Lecture Notes in Mathematics 704, pp. 330–356, Berlin, Heidelberg, New York: Springer
  8. Cheng, K.T.; Olhoff, N. 1982: Regularized formulation for optimal design of axisymmetric plates.Int. J. Solids Struct. 18, 153–170 · doi:10.1016/0020-7683(82)90023-3
  9. Ding, Y. 1986: Shape optimization of structures: a literature survey.Comp. Struct. 24, 985–1004 · doi:10.1016/0045-7949(86)90307-x
  10. Goodman, J.; Kohn, R.V.; Reyna, L. 1986: Numerical study of a relaxed variational problem from optimal design.Comp. Meth. Appl. Mech. Engrg. 57, 107–127 · doi:10.1016/0045-7825(86)90073-3
  11. Haftka, R.T.; Gandhi, R.V. 1986: Structural shape optimization- a survey.Comp. Meth. Appl. Mech. Engrg. 57, 91–106 · DOI
  12. Kohn, R.V.; Strang, G. 1986a: Optimal design and relaxation of variational problems.Comm. Pure Appl. Math. 39, 1–25 (Part I), 139–182 (Part II), and 353–377 (Part III) · DOI
  13. Kohn, R.V.; Strang, G. 1986b: Optimal design in elasticity and plasticity.Int. J. Numer. Meth. Eng. 22, 183–188 · DOI
  14. Lurie, K.A.; Fedorov, A.V.; Cherkaev, A.V. 1982: Regularization of optimal design problems for bars and plates. Parts I and II.J. Optim. Theory Appl. 37, 499–521, 523–543 · doi:10.1007/bf00934953
  15. Olhoff, N.; Lurie, K.A.; Cherkaev, A.V.; Fedorov, A.V. 1981: Sliding regimes and anisotropy in optimal design of vibrating axisymmetric plates.Int. J. Solids Struct. 17, 931–948 · doi:10.1016/0020-7683(81)90032-9
  16. Olhoff, N.; Taylor, J.E. 1983: On structural optimization.J. Appl. Mech. 50, 1134–1151 · doi:10.1115/1.3167196
  17. Pedersen, P. 1989a: On optimal orientation of orthotropic materials.Struct. Optim. 1, 101–106 · doi:10.1007/bf01637666
  18. Pedersen, P. 1989b: Bounds on elastic energy in solids of orthotropic materials.DCAMM Report No.392, Techn. Univ. of Denamrk, DK-2800 Lyngby
  19. Rossow, M.P.; Taylor, J.E. 1973: A finite element method for the optimal design of variable thickness sheets.AIAA J. 11, 1566–1569 · DOI
  20. Rozvany, G.I.N. 1984: Structural layout theory - the present state of knowledge. In: Atrek, E.; Gallagher, R.H.; Ragsdell, K.M.; Zienkiewicz, O.C. (eds.)Directions in optimum structural design, Chapter 7. Chichester: Wiley & Sons
  21. Rozvany, G.I.N.; Ong, T.G.; Szeto, W.T.; Olhoff, N.; Bendsøe, M.P. 1987: Least-weight design of perforated plates.Int. J. Solids and Struct. 23, 521–536 (Part I), 537–550 (Part II) · doi:10.1016/0020-7683(87)90015-1
  22. Rozvany, G.I.N. 1989: Optimality criteria for continuous and segment-wise linear distribution of the cross-sectional parameters. In: Eschenauer, H.A.; Thierauf, G. (eds.)Discretization methods and structural optimization - procedures and applications, pp. 291–298. Berlin, Heidelberg, New York: Springer · doi:10.1007/978-3-642-83707-4_37
  23. Sanchez-Palencia, E. 1980: Non-homogeneous media and vibration theory.Lecture Notes in Physics 127, Berlin, Heidelberg, New York: Springer

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Metadata

Authors
Bendsøe, M. P.
Venue
Structural Optimization
Published
1989-12
Volume
1
Issue
4
Pages
193-202
ISSN
  • 1615-147X (ISSN-L)
  • 0934-4373
  • 1615-1488
OpenAlex
W2092801729
Cited by
4,521
References
0
FWCI
85.11
Type
journal article
Language
en
Open access
closed
Licence
www.springer.com/tdm (tdm)

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Bendsøe, M. P. (1989). Optimal shape design as a material distribution problem. Structural Optimization. https://doi.org/10.1007/bf01650949

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