Effective longitudinal shear moduli of periodic fibre-reinforced composites with functionally-graded fibre coatings

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Artioli, Edoardo¹  Bisegna, Paolo¹ 

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

关键词: Micromechanics;    Fibre-reinforced composite materials;    Functionally graded coating;    Effective moduli;    Asymptotic homogenization;    Analytical solutions;    Stress concentrations;   

DOI  :  10.1016/j.ijsolstr.2012.12.014

来源: Elsevier

【 摘 要 】

This paper presents a homogenization method for unidirectional periodic composite materials reinforced by circular fibres with functionally graded coating layers. 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 coating domain is solved in closed form by applying the theory of hypergeometric functions, for different choices of grading profiles. The effectiveness of the present analytical procedure is proved by convergence analysis and comparison with finite element solutions. The influence of microgeometry and grading parameters on the shear stress concentration at the coating/matrix interface is addressed, aimed at the composite optimization in regards to fatigue and debonding phenomena. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

Free