Effective longitudinal shear moduli of periodic fibre-reinforced composites with radially-graded fibres

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:47

Article

Artioli, Edoardo¹  Bisegna, Paolo¹  Maceri, Franco¹ 

[1] Univ Roma Tor Vergata, Dept Civil Engn, I-00133 Rome, Italy

关键词: Micromechanics;    Fibre-reinforced composite materials;    Functionally graded materials;    Asymptotic homogenization;    Analytical solutions;    Complex variable;    Stress concentrations;   

DOI  :  10.1016/j.ijsolstr.2009.10.004

来源: Elsevier

【 摘 要 】

This paper presents a closed-form expression for the homogenized longitudinal shear moduli of a linear elastic composite material reinforced by long, parallel, radially-graded circular fibres with a periodic arrangement. An imperfect linear elastic fibre-matrix interface is allowed. The asymptotic homogenization method is adopted, and the relevant cell problem is addressed. Periodicity is enforced by resorting to the theory of Weierstrass elliptic functions. The equilibrium equation in the fibre domain is solved in closed form by applying the theory of hypergeometric functions, for new wide classes of grading profiles defined in terms of special functions. The effectiveness of the present analytical procedure is proved by convergence analysis and comparison with finite element solutions. A parametric analysis investigating the influence of microstructural and material features on the effective moduli is presented. The feasibility of mitigating the shear stress concentration in the composite by tuning the fibre grading profile is shown. (C) 2009 Elsevier Ltd. All rights reserved.

【 授权许可】

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