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A space-averaged model of branched structures

Abstract : Many biological systems and artificial structures are ramified, and present a high geometric complexity. In this work, we propose a space-averaged model of branched systems for conservation laws. From a one-dimensional description of the system, we show that the space-averaged problem is also one-dimensional, represented by characteristic curves, defined as streamlines of the space-averaged branch directions. The geometric complexity is then captured firstly by the characteristic curves, and secondly by an additional forcing term in the equations. This model is then applied to mass balance in a pipe network and momentum balance in a tree under wind loading.
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https://hal-polytechnique.archives-ouvertes.fr/hal-01114972
Contributor : Denis Roura <>
Submitted on : Tuesday, February 10, 2015 - 12:29:57 PM
Last modification on : Thursday, March 5, 2020 - 6:49:53 PM

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Diego Lopez, Emmanuel de Langre, Sébastien Michelin. A space-averaged model of branched structures. Computers and Structures, Elsevier, 2015, 146 (january), pp.12-19. ⟨10.1016/j.compstruc.2014.09.003⟩. ⟨hal-01114972⟩

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