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Homogenization in the Modelling of Volume-Controlled Elastic Structures.
- Source :
- Applied Mathematics & Optimization; Mar2007, Vol. 55 Issue 2, p273-284, 12p, 1 Diagram
- Publication Year :
- 2007
-
Abstract
- The background for this article is the question of modification of the geometric configuration of an elastic structure by means of "volume"-type actuation. In this actuation mode stresses are applied to the elastic body by injection/extraction of a fluid into, or from, a large number of vacuoles in the elastic "matrix" material. Previous articles by the author, and others, have examined this process and studied its effectiveness in the context of a "naive" continuous model. The present paper develops modified models in the two-dimensional case by applying the "multiple scales" homogenization method to elastic bodies with increasingly small and numerous vacuoles arranged in a rectangularly periodic structure. The process leads to a modification of the naive model potentially useful in future elastic system control research. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00954616
- Volume :
- 55
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Applied Mathematics & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 24320871
- Full Text :
- https://doi.org/10.1007/s00245-006-0891-0