Homogenization and design of structures with optimal macroscopic behaviour
1997 (English)In: Computer Aided Optimum Design of Structures V: [Fifth International Conference on Computer Aided Optimum Design of Structures, OPTI 97. Organised by Universidad de La Coruña, Spain]. / [ed] S. Hernandez; C. A. Brebbia, Southampton: Computational Mechanics Publ , 1997, 393-402 p.Conference paper (Refereed)
Some types of structures with extreme effective properties are considered by means of the homogenization theory. We discuss the reiterated cell-structure which consists of m different micro-levels. Our numerical results indicate that the limit proven by Lukkassen  corresponding to the case 771 = 00 serves as a surprisingly good approximation of the effective properties for any value of m. In particular, this observation yields a simple approximate-formula for the classical coated rectangle-assemblages. Some applications are also presented; e.g. we discuss concrete examples of optimal design of core material in sandwich constructions.
Place, publisher, year, edition, pages
Southampton: Computational Mechanics Publ , 1997. 393-402 p.
Transaction of the Wessex Institute: The Built Environment, ISSN 1743-3509 ; 31
Research subject Mathematics
IdentifiersURN: urn:nbn:se:ltu:diva-35186DOI: 10.2495/OP970371Local ID: 99c42d80-57ff-11dc-a7ae-000ea68e967bISBN: 1-85312-458-3OAI: oai:DiVA.org:ltu-35186DiVA: diva2:1008438
International Conference on Computer Aided Optimum Design of Structures : 08/09/1997 - 10/09/1997
Godkänd; 1997; 20070831 (ysko)2016-09-302016-09-30Bibliographically approved