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On applications of the microlocal parameter method in modelling of temperature distributions in composite cylinders
Authors:S J Matysiak  V J Pauk  A A Yevtushenko
Institution:(1) Faculty of Geology, Institute of Hydrogeology and Engineering Geology, University of Warsaw, Al. Zwirki i Wigury 93, 02-089 Warsaw, Poland, PL;(2) Department of Mechanics and Mathematics, University of Lviv, Universitetska str.1, 290602 Ukraine, UA
Abstract:Summary The problems of transient heat conduction in a periodically stratified medium consisting of a large number of alternating concentric cylinders of two homogeneous isotropic rigid materials and in a rotationally periodic cylinder consisting of a large number of circular homogeneous isotropic rigid sectors are considered. The equations of the homogenized models with microlocal parameters are derived by using the homogenization procedure given in 17]. The obtained models take into account certain microlocal effects connected with the microperiodic structure of the considered composites. Some examples of the application of the presented models to the problems of temperature distributions in composite cylinders are detailed. Received 10 March 1997; accepted for publication 23 October 1997
Keywords:Composite  stratified medium  heat conduction  homogenization  microperiodic structure
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