Influence of non degenerated joint on the global and local behavior of joined rods

We consider transport (thermoconductivity, diffusion, etc.) problem in a system of joined n-dimensional ( n = 2, 3) thin rods, We assume that the joint has the size compared with the characteristic diameter of the rods and the joint is made of materials with transport properties similar to the trans...

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Bibliographic Details
Published in:International journal of engineering science 2011-03, Vol.49 (3), p.295-309
Main Authors: Gaudiello, A., Kolpakov, A.G.
Format: Article
Language:English
Subjects:
Asymptotic analysis
Asymptotic properties
Diffusion
Exact sciences and technology
Joined rods
Mathematical models
Perturbation methods
Physics
Representations
Rods
Statistical physics, thermodynamics, and nonlinear dynamical systems
Technique of local perturbation
Transport
Transport problem
Transport processes
Transport properties
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Summary:We consider transport (thermoconductivity, diffusion, etc.) problem in a system of joined n-dimensional ( n = 2, 3) thin rods, We assume that the joint has the size compared with the characteristic diameter of the rods and the joint is made of materials with transport properties similar to the transport properties of materials of the rods (such joint is referred as non degenerated joint). Using a technique of local perturbation, we construct asymptotic representations of the solution and obtain the limit model for some types of rods and joints. In all the cases, we find that the non degenerated joint is ignored on the global level (e.g., in framework models) and it manifests itself on the local level (in particular, it determines the gradient of the solution in and near the joint).
ISSN:0020-7225
1879-2197
DOI:10.1016/j.ijengsci.2010.11.002