Overall longitudinal shear elastic modulus of a 1-3 composite with anisotropic constituents

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Lopez-Lopez, Eduardo¹  Sabina, Federico J.¹  Guinovart-Diaz, Raul²  Bravo-Castillero, Julian²  Rodriguez-Ramos, Reinaldo² 

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

[2] Univ La Habana, Fac Matemat & Comp, Havana 10400 4, Cuba

关键词: Asymptotic homogenization method;    Shear anisotropic elasticity;    Fiber-reinforced composite;   

DOI  :  10.1016/j.ijsolstr.2013.03.021

来源: Elsevier

【 摘 要 】

The overall properties of a binary elastic periodic fiber-reinforced composite, with transversely isotropic constituents in an anti-plane-strain deformation state, are studied here for a cell periodicity of square type. This analysis considers four different orientations of the axis of transverse isotropy of constituents with respect to the direction of fibers. Each case is characterized by very simple closed-form expressions for the effective coefficients, which were obtained using the asymptotic homogenization method. Local problems defined on a periodic square unit cell are solved using Weierstrassian and Natanzon's functions and perturbation theory relative to small anisotropy. In the isotropic limit, comparison with rigorous bounds and some well-known mixing rules are made. Also, comparisons with finite element calculations show that the derived closed-form formulae provide excellent results even for large anisotropy. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

Free