Effective elastic shear stiffness of a periodic fibrous composite with non-uniform imperfect contact between the matrix and the fibers

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:51

Article

Lopez-Realpozo, Juan C.¹  Rodriguez-Ramos, Reinaldo¹  Guinovart-Diaz, Raul¹  Bravo-Castillero, Julian¹  Otero, J. A.^2,6  Sabina, Federico J.³  Lebon, F.⁴  Dumont, Serge⁴  Sevostianov, Igor⁵ 

[1] Univ La Habana, Fac Matemat & Comp, CP-10400 Vedado, Habana, Cuba

[2] Inst Cibernet Matemat & Fis ICIMAF, CP-10400 Vedado, Habana, Cuba

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

[4] Univ Aix Marseille, CNRS, Cent Marseille, Lab Mecan & Acoust, F-13402 Marseille 20, France

[5] New Mexico State Univ, Dept Mech & Aerosp Engn, Las Cruces, NM 88003 USA

[6] Inst Tecnol Estudios Super Monterrey CEM, EM, Mexico City 52926, DF, Mexico

关键词: Effective properties;    Non-uniform imperfect contact;    Periodic composites;    Asymptotic homogenization;   

DOI  :  10.1016/j.ijsolstr.2013.12.015

来源: Elsevier

【 摘 要 】

In this contribution, effective elastic moduli are obtained by means of the asymptotic homogenization method, for oblique two-phase fibrous periodic composites with non-uniform imperfect contact conditions at the interface. This work is an extension of previous reported results, where only the perfect contact for elastic or piezoelectric composites under imperfect spring model was considered. The constituents of the composites exhibit transversely isotropic properties. A doubly periodic parallelogram array of cylindrical inclusions under longitudinal shear is considered. The behavior of the shear elastic coefficient for different geometry arrays related to the angle of the cell is studied. As validation of the present method, some numerical examples and comparisons with theoretical results verified that the present model is efficient for the analysis of composites with presence of imperfect interface and parallelogram cell. The effect of the non uniform imperfection on the shear effective property is observed. The present method can provide benchmark results for other numerical and approximate methods. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

Free