A method for treating damage related criteria in optimal topology design of continuum structures

Structural Optimization

Volumn 16, Issue 2-3, 1998, Pages 108-115

  Bendsoe M P ^a   Diaz A R ^b  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; MATHEMATICAL MODELS; OPTIMIZATION; STIFFNESS; STRUCTURAL LOADS;

STRUCTURAL OPTIMIZATION;

STRUCTURAL DESIGN;

EID: 0032184343     PISSN: 09344373     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001580050011     Document Type: Article

References (17)

1. Achtziger, W.; Bendsøe, M.P.; Taylor, J.E. 1998: Bounds on the effect of progressive structural degradation. J. Mech. Phys. Solids, 46, 1055-1087
2. Allaire, G.; Aubry, S.; Jouve, F. 1997: Simulation numerique de l'endommagement a l'aide du modele Francfort-Marigo. Proc. Congres National d'Analyse Numerique, Imbourg, France
3. Allaire, G.; Francfort, G.A. 1993: A numerical algorithm for topology and shape optimization. In Bendsøe, M.P.; Mota Soares C.A. (eds.) Topology optimization of structures, pp. 239-248. Dordrecht: Kluwer
4. Allaire, G.; Kohn, R.V. 1993a: Explicit bounds on the elastic energy of a two-phase composite in two space dimensions. Q. Appl. Math. 51, 675-699
5. Allaire, G.; Kohn, R.V. 1993b: Optimal design for minimum weight and compliance in plane stress using extremal microstructures. Euro. J. Mech. A12, 839-878
6. Bendsøe, M.P. 1995: Optimization of structural topology, shape and material. Berlin, Heidelberg, New York: Springer
7. Francfort, G.A.; Marigo, J.-J. 1993: Stable damage evolution in a brittle continuous medium. Eur. J. Mech. A/Solids 12, 149-189
8. Jog, C.; Haber, R.B.; Bendsøe, M.P. 1994: Topology design with optimized, self-adaptive materials. Int. J. Num. Meth. Engng. 37, 1323-1350
9. Krajcinovic, D. 1996: Damage mechanics. Amsterdam: Elsevier Science
10. Lemaitre, J. 1996: A course on damage mechanics, 2-nd edition. Berlin, Heidelberg, New York: Springer
11. Lemaitre, J.; Chaboche, J.L. 1990: Mechanics of solid materials. Cambridge: Cambridge University Press
12. Michelaris, P.; Tortorelli, D.A.; Vidal, C. 1994: Tangent operators and sensitivity formulations for transient nonlinear coupled problems with applications to elasto-plasticity. Int. J. Num. Meth. Engng. 37, 2471-2500
13. Min, S.; Kikuchi, N.; Park, Y.C.; Kim, S.; Chang, S. 1997: Optimal reinforcement design of structures under impact loads. In: Gutkowski, W.; Mroz, Z. (eds.) Proc. 2-nd World Cong. of Structural and Multidisciplinary Optimization, pp. 583-588. Warsaw: Inst. of Fundamental Technological Research
14. Mlejnik, H.P.; Schirrmacher, R. 1993: An engineering approach to optimal material distribution and shape finding. Comp. Meth. Appl. Mech. Engng. 100, 1-26
15. Olhoff, N.; Taylor, J.E. 1979: On optimal structural remodeling. JOTA 27, 571-582
16. Pedersen, P. 1989: On optimal orientation of orthotropic materials. Struct. Optim. 1, 101-106
17. Rozvany, G.I.N.; Zhou, M.; Sigmund, O. 1994: Topology optimization in structural design. In: Adeli, H. (ed.) Advances in design optimization, pp. 340-399. London: Chapman and Hall