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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Computers and Structures, Elsevier, 2015, 146 (january), pp.12-19. 〈10.1016/j.compstruc.2014.09.003〉
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https://hal-polytechnique.archives-ouvertes.fr/hal-01114972
Contributeur : Denis Roura <>
Soumis le : mardi 10 février 2015 - 12:29:57
Dernière modification le : jeudi 10 mai 2018 - 02:01:38

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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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