Semi-analytical method for computing effective properties in elastic composite under imperfect contact

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Otero, Jose A.¹  Rodriguez-Ramos, Reinaldo²  Bravo-Castillero, Julian²  Guinovart-Diaz, Raul²  Sabina, Federico J.³  Monsivais, G.⁴ 

[1] Inst Cibernet Matemat & Fis ICIMAF, Entre Cd 10400 4, Habana, Cuba

[2] Univ La Habana, Fac Matemat & Computac, Entre Cd 10400 4, Habana, Cuba

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

[4] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico

关键词: Fiber-reinforced composites;    Asymptotic homogenization method;    Finite element method;    Effective properties;    Imperfect adhesion;    Imperfect elastic composites;   

DOI  :  10.1016/j.ijsolstr.2012.11.001

来源: Elsevier

【 摘 要 】

A parallel fiber-reinforced periodic elastic composite is considered with transversely iso-tropic constituents. Fibers with circular cross section are distributed with the same periodicity along the two perpendicular directions to the fiber orientation, i.e., the periodic cell of the composite is square. The composite exhibits imperfect contact, in particular, spring type at the interface between the fiber and matrix is modeled. Effective properties of this composite for in-plane and anti-plane local problems are calculated by means of a semi-analytic method, i.e. the differential equations that described the local problems obtained by asymptotic homogenization method are solved using the finite element method. Numerical computations are implemented and comparisons with exact solutions are presented. (C) 2012 Elsevier Ltd. All rights reserved.

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