Heat conduction in periodic laminates with probabilistic distribution of material properties

Ostrowski, Piotr; Jędrysiak, Jarosław

doi:10.1007/s00231-016-1908-0

Cited by 8 publications

(2 citation statements)

References 19 publications

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“…To realize this idea we introduce for any open neighborhood Σ ε = {y : dist(y, Σ) < ε} the decomposition of the temperature field θ = θ reg + θ res (4) onto the sum of regular temperature θ reg and residual temperature θ res , respectively. Regular temperature should be represented for…”

Section: Tolerance Homogenizationmentioning

confidence: 99%

“…That is why the basic literature foe this paper consists of papers and monographs fundamental for Tolerance Averaging Technique developed by Cz. Wozniak and used by his followers and collaborators, [2,4,5]. However, the most important inspiration for writing this paper is one of the first articles on homogenization of heat conduction issues written by Ariault, [1] and monograph [3].…”

Section: Introductionmentioning

confidence: 99%

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Effective macroscopic description for heat conduction in periodic composites

Wierzbicki

Kula

Wodzyński

2018

AIP Conference Proceedings

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Abstract. The investigation of solutions to heat transfer problems in periodic composites very often lead to the development of a certain extension of tolerance modelling to the case in which the role of shape functions is fulfilled by elements of a certain orthogonal Fourier basis. We are to show how establish such kind of extension and apply obtained result to formulate the homogenized description of heat transfer processes. Considerations are illustrated by the formulation of approximated solutions to the Effective Heat Conduction Problem for blocked-type periodic composites.

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Section: Tolerance Homogenizationmentioning

confidence: 99%