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An Analytical Solution for the Antiplane Shear Problem of a Composite Reinforced with Functionally Graded Fibres
An Analytical Solution for the Antiplane Shear Problem of a Composite Reinforced with Functionally Graded Fibres
By Dr. Edoardo Artioli
Assistant Professor
University of Rome 'Tor Vergata' and University of Rhode Island
Thu, Nov 6, 2008 2:30 PM
Location: Lopata Hall Room 101
Abstract
This seminar presents an analytical expression for the homogenized longitudinal shear moduli of a composite reinforced by straight circular functionally graded fibres. Fibres are arranged regularly in a homogeneous matrix within a unit periodic cell of general shape. The fibre/matrix interface is assumed linear elastic. The asymptotic homogenization method is adopted, and the relative cell problem is solved in closed form by means of Weierstrass elliptic functions, for a wide class of possible fibre gradings. The effectiveness of the present analytical result is discussed by convergence analysis and comparison with finite-element solutions.
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