Effective elastic properties of periodic fibrous composites. Limit cases. Applications to porous and nonlinear materials

被引：0
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作者：
Bravo-Castillero, Julián [1 ]
Guinovart-Díaz, Raúl [1 ]
Rodríguez-Ramos, Reinaldo [1 ]
Sabina, Federico J. [2 ]
Valdiviezo-Mijangos, Oscar C. [3 ,4 ]
Sabina-de-Lis, José Claudio [5 ]
机构：
[1] Facultad de Matemática y Computación, Universidad de La Habana, San Lázaro y L, Vedado, Habana 4, Cuba
[2] Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Delegacion de Alvaro Obregon, 01000 México, D.F., Mexico
[3] Posgrado en Ciencias de la Tierra, Ciudad Universitaria, 04510 México, D.F., Mexico
[4] Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, San Bartolo Atepehuacan, Delegación Gustavo A. Madero, 07730 México, D.F., Mexico
[5] Departamento de Análisis Matemático, Universidad de La Laguna, E-38271 La Laguna, Tenerife, Spain
来源：
Computer Assisted Mechanics and Engineering Sciences | 2006年 / 13卷 / 02期
关键词：
Anisotropy - Approximation theory - Dielectric materials - Elastic moduli - Fibers - Mechanical properties - Microstructure - Parameter estimation - Porous materials - Stiffness;
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摘要：
The goal of this contribution is to provide, based on the asymptotic homogenization method, helpful exact formulae to compute the overall stiffnesses and engineering moduli of a transversely isotropic two-phase fibre reinforced composite with isotropic constituents. Comparison of the exact solution with known bounds is shown. In certain cases a bound is very close to the exact solution over a large interval. The bound then could be used as a good approximation to the exact solution. The exact formulae explicitly display Avellaneda and Swart's microestructural parameters, which have a physical meaning, and provide formulae for them. Hill's universal relations follow from the formulae. Limiting cases of rigid and empty fibers are included. An application of these results to improve bounds for the effective energy density of nonlinear dielectric fibrous composites is shown. Another application is related to bone poroelasticity. Copyright © 2006 by Institute of Fundamental Technological Research.
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页码：305 / 322
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