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Published online by Cambridge University Press: 15 February 2011
This paper discusses a deterministic approach to the stress and deformation analysis of miniaturized structures. Analytical Voigt-Reuss-Hill averages for the elements of the fourth-ranked elasticity tensor representing a polycrystal are evaluated for a planar problem and the variations of elastic moduli with respect to the degree of anisotropy and the mean and coefficient of variation of the preferred orientation direction are studied. The applicability of the averaging methods to the characterization of materials used in micro-electro-mechanical systems are then assessed.