Abstract
In this article we discuss an auxiliary problem which arises in the homogenization theory for the Laplacian on the plane with periodic array of square holes and homogeneous Neumann boundary conditions on those. Independently, this problem describes the process of thermoconductivity. We find the explicit formulas for effective coefficients of thermoconductivity (homogenized modula). We make also the asymptotic analysis of these formulas in the cases of big and small holes.
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© 1996 Springer Science+Business Media Dordrecht
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Vucans, J. (1996). Effective coefficients of thermoconductivity on some symmetric periodically perforated plane structures. In: Malanowski, K., Nahorski, Z., Peszyńska, M. (eds) Modelling and Optimization of Distributed Parameter Systems Applications to engineering. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34922-0_34
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DOI: https://doi.org/10.1007/978-0-387-34922-0_34
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-5864-1
Online ISBN: 978-0-387-34922-0
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