Stress concentration and effective stiffness of aligned fiber reinforced composite with anisotropic constituents

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:45

Article

Kushch, V. I.¹  Sevostianov, I.²  Mishnaevsky, L., Jr.³ 

[1] Natl Acad Sci, Inst Superhard Mat, UA-04074 Kiev, Ukraine

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

[3] Tech Univ Denmark, Riso Natl Lab, DK-4000 Roskilde, Denmark

关键词: fibrous composite material;    cell model;    elasticity;    anisotropy;    multipole expansion;    stress concentration;    effective moduli;   

DOI  :  10.1016/j.ijsolstr.2008.05.009

来源: Elsevier

【 摘 要 】

The paper addresses the problem Of Calculation of the local stress field and effective elastic Properties of a unidirectional fiber reinforced composite with anisotropic constituents. For this aim, the representative unit cell approach has been utilized. The micro geometry of the composite is modeled by a periodic structure With a unit cell containing multiple circular fibers. The number of fibers is Sufficient to account for the micro structure statistics of composite. A new method based on the multipole expansion technique is developed to obtain the exact series solution for the micro stress field. The method combines the principle of superposition, technique of complex potentials and some new results in the theory of special functions. A proper choice of potentials and new results for their series expansions allow one to reduce the boundary-value problem for the multiple-connected domain to,in ordinary, well-posed set of linear algebraic equations. This reduction provides high numerical efficiency of the developed method. Exact expressions for the components of the effective stiffness tensor have been obtained by analytical averaging of the strain and stress fields. (C) 2008 Elsevier Ltd. All rights reserved.

【 授权许可】

Free