An introduction to structural optimization

Solid Mechanics and its Applications

Volumn 153, Issue , 2008, Pages 1-220

  Christensen, Peter W ^a   Klarbring, Anders ^a  

^a LINKÖPING UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84884867800     PISSN: 09250042     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-4020-8666-3_1     Document Type: Article

References (36)

1. Achtziger,W.: Topology optimization of discrete structures - an introduction in view of computational and nonsmooth aspects. In: Rozvany, G.I.N. (ed.) Topology Optimization in Structural Mechanics. CISM courses and lectures, vol. 374, pp. 57-100. Springer, Viena (1997)
2. Bazaraa, M.S., Sherali, H.F., Shetty, C.M.: Nonlinear Programming - Theory and Algorithms, 2nd edn. Wiley, New York (1993)
3. Bendsøe, M.P., Klarbring, A.: Joakim Petersson 1968-2002. Struct. Multidiscipl. Optim. 25, 151-152 (2003)
4. Bendsøe, M.P., Sigmund, O.: Topology Optimization: Theory, Methods and Applications. Springer, Berlin (2003)
5. Bertsekas, D.P.: Nonlinear Programming. Athena Scientific, Belmont (1995)
6. Borrvall, T.: Topology optimization of elastic continua using restriction. Arch. Comput. Methods Eng. 8, 351-385 (2001)
7. Borrvall, T., Petersson, J.: Topology optimization using regularized intermediate density control. Comput. Methods Appl. Mech. Eng. 190, 4911-4928 (2001) (Pubitemid 32644220)
8. Borrvall, T., Petersson, J.: Large-scale topology optimization in 3D using parallel computing. Comput. Methods Appl. Mech. Eng. 190, 6201-6229 (2001) (Pubitemid 32961905)
9. Brockman, R.A.: Geometric sensitivity analysis with isoparametric finite elements. Com. Appl. Numer. Methods 3, 495-499 (1987) (Pubitemid 18530350)
10. Bruns, T.E., Tortorelli, D.A.: Topology optimization of nonlinear elastic structures and compliant mechnanisms. Comput. Methods Appl. Mech. Eng. 190, 3443-3459 (2001) (Pubitemid 32379192)
11. Bugeda, G., Oliver, J.: A general methodology for structural shape optimization problems using automatic adaptive remeshing. Int. J. Numer. Methods Eng. 36, 3161-3185 (1993)
12. Choi, K.K., Kim, N.-H.: Structural Sensitivity Analysis and Optimization 1 - Linear Systems. Springer, Berlin (2005)
13. Choi, K.K., Kim, N.-H.: Structural Sensitivity Analysis and Optimization 2 - Nonlinear Systems and Applications. Springer, Berlin, (2005)
14. Ehrgott, M., Gandibleux, X. (eds.): Multiple Criteria Optimization: State of the Art Annotated Bibliographic Surveys. Kluwer, Boston (2002)
15. Fleury, C., Braibant, V.: Structural optimization: A new dual method using mixed variables. Int. J. Numer. Methods Eng. 23, 409-428 (1986) (Pubitemid 16517200)
16. George, P.L.: Automatic mesh generation and finite element computation. In: Ciarlet, P.G., Lions, J.L. (eds.) Handbook of Numerical Analysis, vol. IV. Elsevier, Amsterdam (1996)
17. Gordon, J.G.: Structures or Why Things Don't Fall Down. Penguin, Baltimore (1978)
18. Haftka, R.T., Gürdal, Z.: Elements of Structural Optimization, 3rd revised and expanded edn. Kluwer, Dordrecht (1992)
19. Haslinger, J., Mäkinen, R.A.E.: Introduction to Shape Optimization - Theory, Approximation, and Computation. SIAM, Philadelphia (2003)
20. Hilding, D., Torstenfelt, B., Klarbring, A.: A computational methodology for shape optimization of structures in frictionless contact. Comput.Methods Appl.Mech. Eng. 190, 4043-4060 (2001) (Pubitemid 32411915)
21. Hughes, T.J.R.: The Finite Element Method - Linear Static and Dynamic Finite Element Analysis. Prentice Hall, Englewood Cliffs (1987) (reprinted by Dover Publications, 2000)
22. Kirsch, U.: Structural Optimization - Fundamentals and Applications. Springer, Berlin (1993)
23. Leung, Y.K., Lo, S.H., Leung, A.Y.T.: Finite Element Implementation. Blackwell Science, Oxford (1996)
24. Ottosen, N., Petersson, H.: Introduction to the Finite Element Method. Prentice Hall, New York (1992)
25. Petersson, J.: On stiffness maximization of variable thickness sheet with unilateral contact. Q. Appl. Math. 54, 541-550 (1996) (Pubitemid 126584512)
26. Petersson, J.: A finite element analysis of optimal variable thickness sheets. SIAM J. Numer. Anal. 36, 1759-1778 (1999) (Pubitemid 129568033)
27. Petersson, J., Sigmund, O.: Slope constrained topology optimization. Internat. J. Numer. Methods Eng. 24, 359-373 (1998)
28. Piegl, L., Tiller, W.: The NURBS Book, 2nd edn. Springer, Berlin (1997)
29. Rogers, D.F.: An Introduction to NURBS - With Historical Perspective. Academic Press, San Diego (2001)
30. Sigmund, O.: Design of material structures using topology optimization. Ph.D. thesis, DCAMM, Technical University of Denmark (1994)
31. Sigmund, O.: On the design of compliant mechanisms using topology optimization. Mech. Struct. Mach. 25, 493-524 (1997) (Pubitemid 127608207)
32. Sigmund, O., Petersson, J.: Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct. Optim. 16, 68-75 (1998) (Pubitemid 128647652)
33. Svanberg, K.: On local and global minima in structural optimization. In: Atrek, E., Gallhager, R.H., Ragsdell, K.M., Zienkiewicz, O.C. (eds.) New Directions in Optimum Structural Design, pp. 327-341. Wiley, New York (1984) (Pubitemid 16619174)
34. Svanberg, K.: The method of moving asymptotes - a new method for structural optimization. Internat. J. Numer. Methods Eng. 24, 359-373 (1987) (Pubitemid 17525942)
35. Thompson, J.F., Soni, B.K., Weatherill, N.P. (eds.): Handbook of Grid Generation. CRC Press, Boca Raton (1999)
36. Tracy, F.T.: Graphical pre- and post-processor for 2-dimensional finite element programs. Comput. Graph. 11, 8-12 (1977)