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Effective elastic moduli of periodic granular composite with transversely isotropic phases
Authors:V. I. Kushch
Affiliation:(1) Institute of Superhard Materials, National Academy of Sciences of Ukraine, Kiev
Abstract:We find a rigorous solution describing the macroscopically uniform stress state of a periodic granular composite with transversely isotropic phases. The structure of the composite is modeled by a cube containing a finite number of arbitrarily arranged and oriented, transversely isotropic spherical inclusions. This provides the model with a flexible means of describing the microstructure. Applying periodic vector solutions and local expansion formulas reduces the initial boundary-value problem to a system of linear algebraic equations. By averaging the solution over the unit cell, we derived exact finite expressions for the components of the effective stiffness tensor. The numerical data presented help to evaluate the efficiency of the method and the limits of applicability of available approximate theories.Translated from Prikladnaya Mekhanika, Vol. 40, No. 9, pp. 123–130, September 2004.
Keywords:periodic granular composite  transversely isotropic elastic phases  periodic structural model  spherical inclusion  effective stiffness tensor
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