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Simple estimation on effective transport properties of a random composite material with cylindrical fibres |
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| Authors: | Igor V Andrianov Vladyslav V Danishevs’kyy Dieter Weichert |
| Institution: | 1. Institut für Allgemeine Mechanik, Rheinisch-Westf?lische Technische Hochschule Aachen, Templergraben 64, Aachen, 52062, Germany 2. Prydniprovska State Academy of Civil Engineering and Architecture, 24-a Chernyshevskogo St., Dnipropetrovs’k, 49600, Ukraine |
| Abstract: | Improved bounds for effective transport properties of a random non-percolated composite with cylindrical fibres are developed by means of the security-spheres approach. The key point of the method is to obtain a solution for a regular composite that can be valid for all values of the volume fractions and properties of the components. For this aim we use the asymptotic homogenization method; a cell problem is solved by a modified version of the boundary shape perturbation technique. |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 74E30 74Q05 |
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