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Modelling and analysis of certain functionally graded heat conductors

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Abstract

A conjunction of local apparent properties with a global design of structural elements is a motivation for applying composites which have space-varying effective properties. A new approach to the modelling and analysis of both macro- and micro-response of such composites is the subject of this contribution. Considerations are restricted to the heat conduction problem. The main attention is focused on a description of the microstructure size effect on the overall composite behavior. This effect is neglected in commonly used locally homogenized models of composites.

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Authors and Affiliations

  1. Department of Structural Mechanics, Łódź University of Technology, Al. Politechniki 6, 93-590, Łódź, Poland

    Bohdan Michalak

  2. Institute of Mathematics and Informatics, Technological University of Częstochowa, ul. Dąbrowskiego 73, 42-200, Częstochowa, Poland

    Czesław Woźniak

  3. Department of Road and Traffic Engineering, Kielce University of Technology, Al. 1000-lecia PP 7, 25-314, Kielce, Poland

    Margaret Woźniak

Authors
  1. Bohdan Michalak
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  2. Czesław Woźniak
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  3. Margaret Woźniak
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Correspondence to Bohdan Michalak.

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Michalak, B., Woźniak, C. & Woźniak, M. Modelling and analysis of certain functionally graded heat conductors. Arch Appl Mech 77, 823–834 (2007). https://doi.org/10.1007/s00419-007-0128-y

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  • DOI: https://doi.org/10.1007/s00419-007-0128-y

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