Unified analytical formulae for the effective properties of periodic fibrous composites

被引：21

作者：

Bravo-Castillero, Julian ^{[1
]}

Guinovart-Diaz, Raul ^{[1
]}

Rodriguez-Ramos, Reinaldo ^{[1
]}

Sabina, Federico J. ^{[2
]}

Brenner, Renald ^{[3
]}

机构：

[1] Univ La Habana, Fac Matemat & Computac, Dept Matemat, Havana 10400, Cuba

[2] Univ Nacl Autonoma Mexico, Dept Matemat & Mecan, Inst Invest Matemat Aplicadas & Sistemas, Mexico City 01000, DF, Mexico

[3] Univ Paris 13, CNRS, Lab Sci Proc & Mat, F-93430 Villetaneuse, France

来源：

MATERIALS LETTERS | 2012年 / 73卷

关键词：

Effective properties; Asymptotic homogenization; Fibrous composites; Anisotropy; TRANSVERSELY ISOTROPIC CONSTITUENTS; FIBER-REINFORCED COMPOSITE; EFFECTIVE COEFFICIENTS; NONLINEAR COMPOSITES; CORTICAL BONE; EXPRESSIONS;

D O I：

10.1016/j.matlet.2011.12.106

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Two-phase fibre-reinforced elastic composites with transversely isotropic constituents and two types of fibres periodic distribution (square and hexagonal arrays) with perfect contact conditions at the interface are considered. Unified simple analytical formulae for their effective properties are given. Such formulae involve two orders of approximation of semi-analytical expressions obtained via asymptotic homogenization. The limit case of empty fibres is also presented. The influence of each approximation is illustrated. Theoretical and experimental comparisons are included. The objective is to provide information at hand which could be useful for applications to bone mechanics and ultrasonic transducers, and for validation of numerical codes. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：68 / 71

页数：4

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