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  4. Asymptotic dimension reduction of a Robin-type elasticity boundary value problem in thin beams
 
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2014
Journal Article
Titel

Asymptotic dimension reduction of a Robin-type elasticity boundary value problem in thin beams

Abstract
We consider a linear elasticity boundary value problem in a beam with Robin boundary condition at an end and on a segment of the lateral boundary in the middle of the beam. The Robin parameters are scaled differently in the longitudinal and cross-sectional directions. The dimension of the problem is reduced by a standard asymptotic approach with an additional expansion suggested to fulfil the Robin conditions. The 3D Robin conditions result into 1D Robin boundary conditions for corresponding ODEs. The asymptotic error is estimated and illustrated by a numerical comparison of the 3D and 1D solutions.
Author(s)
Bare, D.Z.
Orlik, J.
Panasenko, G.
Zeitschrift
Applicable Analysis
Thumbnail Image
DOI
10.1080/00036811.2013.823481
Language
English
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Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
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