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.

Effective longitudinal shear moduli of periodic fibre-reinforced composites with radially-graded fibres / Artioli, E; Bisegna, P; Maceri, F. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - 47:3-4(2010), pp. 383-397. [10.1016/j.ijsolstr.2009.10.004]

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

Artioli E;
2010

Abstract

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.
2010
47
3-4
383
397
Effective longitudinal shear moduli of periodic fibre-reinforced composites with radially-graded fibres / Artioli, E; Bisegna, P; Maceri, F. - In: INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES. - ISSN 0020-7683. - 47:3-4(2010), pp. 383-397. [10.1016/j.ijsolstr.2009.10.004]
Artioli, E; Bisegna, P; Maceri, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1303391
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