A review of homogenization and topology optimization I - Homogenization theory for media with periodic structure

Computers and Structures

Volumn 69, Issue 6, 1998, Pages 707-717

  Hassani, B ^a   Hinton, E ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; FINITE ELEMENT METHOD; NUMERICAL METHODS; TOPOLOGY;

HOMOGENIZATION; PERIODIC STRUCTURE; TOPOLOGY OPTIMIZATION;

OPTIMIZATION;

EID: 0032305382     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(98)00131-X     Document Type: Article

References (14)

1. Kalamkarov AL. Composite and reinforced elements of construction. Wiley, New York, 1992.
2. Sanchez-Palencia E. Non-homogenous media and vibration theory. Lect Notes Phys, 127, 1980.
3. Benssousan A, Lions JL, Papanicoulau G. Asymptotic analysis for periodic structures. Amesterdam, North Holland, 1978.
4. Cioranescu D, Paulin JSJ. Homogenization in open sets with holes. J Math Aanal Appl 1979;71:590-607.
5. Oleinik OA. On homogenization problems. In: Trends and application of pure mathematics in mechanics. Springer, Berlin, 1984.
6. Caillerie D. Homogenization of periodic media tissued composite materials, Technical report. Institute of Mechanics, Grenoble, France.
7. Bourgat JF. Numerical experiments of the homogenization method for operators with periodic coefficients. Lect Notes Math 1977:330-56.
8. Lene F., Duvaut G. Resultats d'isotropie pour des milieux homogeneises. C R Acad Sc Paris 1981; 7 293 (II): 477-480.
9. Guedes JM, Kikuchi N. Pre and post processing for materials based on the homogenization method with adaptive finite element methods. Comp Meth Appl Mech Engng 1990;83:143-98.
10. Bendsøe MP, Kikuchi N. Generating optimal topologies in structural design using homogenization method. Comp Meth Appl Mech Engng 1988;71:197-224.
11. Bendsøe MP. Optimal shape design as a material distribution problem. Struct Optim 1989;1:193-202.
12. Bendsøe MP, Díaz AR, Kikuchi N. Topology and generalized layout optimization of elastic structures. In: Bendsøe MP, Mota Soares CA, editors. Topology design of structures. Kluwer, Dordrecht, 1993. p. 159-205.
13. Suzuki K, Kikuchi N. A homogenization method for shape and topology optimization. Comp Meth Appl Mech Engng 1991;93:291-318.
14. Jog CS, Haber RB, Bendsøe MP. Topology design with optimized, self-adaptive materials, Technical Report DCAMM 457. Technical University of Denmark, 1993.