A three-dimensional micromechanical modelling of the anisotropy of granular media

• Autorzy: Rahmoun J. , Millet O. , Kondo D.
• Języki publikacji: EN

Abstrakty

EN

This paper presents a micromechanical approach to the granular media with a particular account of the texture-induced anisotropy. The procedure is based on the use of a second-order fabric tensor corresponding to the anisotropy induced by the distribution of contacts. Incorporation of this fabric tensor into a homogenization scheme allows us to obtain the anisotropic elastic properties of the material. Besides the classical Voigt localization, as well as the Reuss approach, we propose a new kinematics-based localization rule which generalizes the one provided by [4] in the case of an isotropic contact distribution. Finally, it is demonstrated that the results deduced from the proposed localization rule agree with the numerical result obtained [10] by means of discrete numerical simulations.

PL

Przedstawiono mikromechaniczne podejście do ośrodków ziarnistych ze szczególnym uwzględnieniem anizotropii spowodowanej przez ich teksturę. Podejście to opiera się na użyciu tensora drugiego rzędu, który odpowiada anizotropii wywołanej rozkładem styków. Dzięki włączeniu tego tensora do schematu homogenizacji otrzymuje się anizotropowe i sprężyste właściwości materiału. Oprócz klasycznej lokalizacji Voigta i podejścia Reussa zaproponowano nową, opartą na kinematyce, regułę lokalizacji, która uogólnia reguły podane w [4] w przypadku rozkładu izotropowych kontaktów. Na koniec pokazano, że wyniki wydedukowane na podstawie zaproponowanej reguły lokalizacji [10] są zgodne z wynikami dyskretnych symulacji numerycznych.

Słowa kluczowe

EN

anisotropy of granular media; micromechanical approach

PL

ośrodki ziarniste; anizotropowe właściwości; sprężyste właściwości

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2008
• Tom: Vol. 30, nr 3-4
• Strony: 17--43
• Opis fizyczny: bibliogr. 37 poz.,

Twórcy

autor

Rahmoun J.

autor

Millet O.

autor

Kondo D.

• Laboratory of Industrial and Human Automatics, Mechanics and Informatics, UMR CNRS 8530, University of Valenciennes, Le Mont Houy, 59313 Valenciennes, France.

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