Generalized shape optimization using stress constraints under multiple load cases

Structural Optimization

Volumn 15, Issue 3-4, 1998, Pages 269-274

  Payten, W M ^a   Law, M ^b  

^a AUSTRALIAN NUCLEAR SCIENCE AND TECHNOLOGY ORGANISATION   (Australia)

^b UNIVERSITY OF TECHNOLOGY SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; LAGRANGE MULTIPLIERS; OPTIMIZATION; STRESS ANALYSIS; STRUCTURAL LOADS;

SHAPE OPTIMIZATION; STRESS CONSTRAINTS;

STRUCTURAL DESIGN;

EID: 0032093372     PISSN: 09344373     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01203542     Document Type: Article

References (25)

1. Baumgartner, L.; Hazheim, L.; Mattheck, C. 1992: SKO (soft kill option): the biological way to find an optimum structure topology. Int. J. Fatigue 6, 387-393
2. Bendsøe, M.P.; Diaz, A.R.; Lipton, R.; Taylor, J.E. 1995: Optimal design of material properties and material distribution for multiple loading conditions. Int. J. Numer. Meth. Engrg 38, 1149-1170
3. Bendsøe, M.P.; Kikuchi, N. 1988: Generating optimal topologies in structural design using a homogenization method. Comp. Meth. Appl. Mech. Eng. 71, 197-224
4. Carter, D.R.; Hayes, W.C. 1977: The behavior of bone as a two-phase porous structure. J. Done Jt. Surg. 59, 964-962
5. Cowin, S.C.; Arramon, Y.P.; Luo, G.M.; Sadegh, A.M. 1993: Chaos in the discrete-time algorithm for bone-density remodelling rate equations. J. Biomech. 20, 1077-1089
6. Duysinx, P.; Bendsøe, M.P. 1997: Topology optimization of continuum structures with stress constraints. In: Proc. WCSMO-II (held in Zakopane, Poland)
7. EMRC: NISAII user manual Troy, MI: Engineering Mechanical Research Corporation
8. Harrigan, T.P.; Hamilton, J.J. 1992: Optimality conditions for finite element simulation of adaptive bone remodeling. Int. J. Solids Struct. 25, 2897-2906
9. Harrigan, T.P.; Hamilton, J.J. 1994a: Necessary and sufficient conditions for global stability anduniqueness in finite element simulations of adaptive bone remodeling. Int. J. Solids Struct. 31, 97-107
10. Harrigan, T.P.; Hamilton, J.J. 1994b: Bone remodeling and structural optimization. J. Biomech. 27, 323-328
11. Huiskes, R.; Weinans, H.; Grootenboer, J.; Dalstra, M.; Fudala, B.; Slooff, T.J. 1987: Adaptive bone-remodelling theory applied to prosthetic-design analysis. J. Biomech. 20, 1135-1150
12. Jog, C.S.; Haber, R.B.; Bendsoe, M.P. 1994: Topology design with optimised, self-adaptive materials. Int. J. Num. Meth. Eng. 37, 1323-1350
13. Payten, W.M. 1996: Integrated computer aided design, finite element analysis and bone-remodelling of a modular ceramic knee prosthesis. Ph.D. Thesis, University of Technology Sydney, NSW, Australia
14. Payten, W.M.; Ben-Nissan B. 1996: Optimal structure formation using a chaotic self-organisational algorithm. Int. J. Computer & Graphics (in press)
15. Payten, W.M.; Ben-Nissan B.; Mercer, D. 1996; Optimal topology design using a global self-organisational approach. J. Solids & Struct, (in press)
16. Payten, W.M.; Mercer, D.J.; Ben-Nissan, B. 1995: A non-linear self organisational approach to the solution of optimal structure topology. In: May, R. (ed.) Computational techniques and applications, pp. 611-618. World Scientific
17. Pedersen, P. 1991: On thickness and orientational design with orthotropic materials. Struct. Optim. 3, 69-78
18. Reiter, T.J.; Rammerstorfer, F.G.; Bohm, H.J. 1993: Structural design improvement by functional adaptation. In: Herskovits, J. (ed.) Stuctural optimization '93, 1, pp. 361-368
19. Rozvany, G.I.N. 1995: What is meanful in topology design? An engineer's viewpoint. In: Herskovits, J. (ed.) Advances in structural optimization, pp. 149-188. Dordrecht: Kluwer
20. Rozvany, G.I.N.; Bendsøe , M.P.; Kirsch, U. 1995: Layout optimisation of structures. Appl. Mech. Rev. 48, 41-117
21. Rozvany, G.I.N.; Zhou, M.; Sigmund, O. 1994: Optimization of topology. In: Adeli, S. (ed.) Advances in design optimization. Chapman and Hall
22. Steven, G.P.; Xie, Y.M. 1993: Evolutionary optimization with FEA. In: Valliappan, S.; Pulmano, V.A.; Tin-Loi, F. (eds.) Computational mechanics: from concepts to computations. Rotterdam
23. Suzuki, K.; Kikuchi, N. 1991: A homogenization method for shape and topology optimization. Comp. Meth. Appl. Mech. Eng. 93, 291-318
24. Weinans, H.; Huiskes, R.; Grootenboer, H.J. 1992: The behaviour of adaptive bone-remodelling simulation models. J. Biomech. 25, 1425-1441
25. Yang, R.J.; Chen C.J. 1996: Stress-based topology optimization. Struct. Optim. 12, 98-105