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Professor Ole Sigmund

Dept. of Mechanical Engineering and Solid Mechanics
Technical University of Denmark, Lyngby, Denmark

Selected Publications (For more see the link, Prof. Ole Sigmund):
Books:
Martin Philip Bendsoe and Ole Sigmund, Topology Optimization: Theory, Methods, and Applications, Springer, 2003, 370 pages
Bendsøe M.P., Olhoff N., Sigmund O. (eds) IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials. Solid Mechanics and Its Applications, vol 137. Springer, Dordrecht, 2006
Journal Articles, etc.:
Sigmund O (1994) Design of material structures using topology optimization. Ph.D. thesis, Technical University of Denmark
Sigmund O (1994) Materials with prescribed constitutive parameters: an inverse homogenization problem. Int. J. Solids Struct. 31(17):2313–2329
Sigmund O (1995) Tailoring materials with prescribed elastic properties. Mech Mater 20:351–368
Sigmund O, Torquato S (1996) Composites with extremal thermal expansion coefficients. Appl Phys Lett 69(21):3203–3205
Sigmund, O., 1997, “On the Design of Compliant Mechanisms Using Topology Optimization,” J. Struct. Mech., 25(4), pp. 493–524.
O. Sigmund and S. Torquato. Design of materials with extreme thermal expansion using a three-phase topology optimization method. Journal of the Mechanics and Physics of Solids, 45:1037–1067, 1997.
Sigmund, O. , and Petersson, J. , 1998, “ Numerical Instabilities in Topology Optimization: A Survey on Procedures Dealing With Checkerboards, Mesh-Dependencies and Local Minima,” Struct. Multidiscip. Optim., 16(1), pp. 68–75
O. Sigmund, S. Torquato, I.A. Aksay, On the design of 1–3 piezocomposites using topology optimization, J Mater Res 13 (1998) 1038–1048.
Petersson, J., Sigmund, O.: Slope constrained topology optimization. Int. J. Numer. Methods Eng. 41, 1417–1434 (1998)
Duysinx P, Sigmund O (1998) New development in handling stress constraints in optimal material distribution. In: 7th Symposium on multidisciplinary analysis and optimization, AIAA-98-4906. pp 1501–1509
Sigmund O (1999) On the optimality of bone structure. In: Proceedings of IUTAM Symposium on Synthesis in Bio Solid Mechanics, Copenhagen, Denmark, pp 221–233
Bendsøe MP, Sigmund O (1999) Material interpolation schemes in topology optimization. Arch Appl Mech 69:635–654
Buhl T, Pedersen CBW, Sigmund O (2000) Stiffness design of geometrically nonlinear structures using topology optimization. Struct Multidisc Optim 19:93–104
L.V. Gibiansky and O. Sigmund. Multiphase composites with extremal bulk modulus. Journal of the Mechanics and Physics of Solids, 48:461–498, 2000.
Sigmund, O.: A 99 line topology optimization code written in Matlab. Struct. Multidiscip. Optim. 21, 120-127 (2001)

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