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Optimal bounds on the effective shear moduli for some nonlinear and reiterated problems
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
1999 (English)In: Acta Scientarum Mathematicarum, ISSN 0001-6969, Vol. 65, no 3, p. 553-566Article in journal (Refereed) Published
Abstract [en]

In this paper we study the effective behavior of composites with a nonlinear material behavior and a special type of microstructure. The microstructure we study is obtained by reiteration, i.e., introducing several local scales. We derive bounds on the effective shear properties and prove that the bounds are sharp when the number of scales tends to infinity.

Place, publisher, year, edition, pages
1999. Vol. 65, no 3, p. 553-566
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-6728Local ID: 50247b20-aacc-11db-aeba-000ea68e967bOAI: oai:DiVA.org:ltu-6728DiVA: diva2:979614
Note
Godkänd; 1999; 20070123 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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