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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Asymptotic analysis for domains separated by a thin layer made of periodic vertical beams
 Journal of elasticity 128 (2017), No.2, pp.291331 ISSN: 03743535 (Print) ISSN: 15732681 (Online) 

 English 
 Journal Article 
 Fraunhofer ITWM () 
 junction between two 3D domains and beam; linear elasticity decomposition of beam displacements; homogenization 
Abstract
We consider a thin heterogeneous layer consisting of thin beams (of radius r)and study the limit behavior of this problem as the period ε, the thickness δ and the radius r of the beams tend to zero. The decomposition of the displacement field into beams developed by Griso (J. Math. Pures Appl. 89:199223, 2008) is used, which allows to obtain a priori estimates. Two types of unfolding operators are introduced to deal with different parts of the decomposition. In conclusion, we obtain the limit problem together with transmission conditions across the interface.