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Representative volume
element and effective elastic properties of open cell foam
materials with random microstructures
Sergey Kanaun and Oleksandr Tkachenko |
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Vol. 2 (2007), No. 8, 1607–1628
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Abstract |
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This work is devoted to the problem of the numerical simulation of effective elastic properties of open-cell foam materials. The Laguerre tessellation procedure is used for the construction of skeletons of random foam microstructures with prescribed distributions of cell diameters. A four-parametric approximation of the ligament shapes in the open-cell foams is proposed. A version of the finite element method, based on the Timoshenko beam finite element, is developed for calculating stresses and strains in the foam ligaments and the solution of the homogenization problem. The size of the representative volume element for reliable calculations of the effective elastic properties of the foam materials is evaluated on the basis of a series of numerical experiments. The dependences of the effective elastic properties of the open-cell foams on cell size distributions and on ligament shapes are obtained and analyzed. |
Keywords
open-cell foams, representative volume element, random
space tessellation, homogenization problem, finite element
method, elastic constants
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Milestones
Received: 19 June 2006
Accepted: 8 May 2007
Published: 1 October 2007
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Authors |
| Sergey Kanaun | |
| Departamento de Ingenieria
Mecánica Instituto Tecnológico y de Estudios Superiores de Monterrey Campus Estado de México Carretera Lago de Guadalupe 4 km Atizapan Edo de México, 52926 Mexico |
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| Oleksandr Tkachenko | |
| Departamento de Ingenieria
Mecánica Instituto Tecnológico y de Estudios Superiores de Monterrey Campus Estado de México Carretera Lago de Guadalupe 4 km Atizapan Edo de México, 52926 Mexico |
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