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Micromechanics
About: Micromechanics is a research topic. Over the lifetime, 6000 publications have been published within this topic receiving 162635 citations.
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48 citations
TL;DR: In this paper, the effect of grain sizes, shapes, and distribution on the minimum RVE sizes for real cubic polycrystals that are formed by crystallization processes was taken into account.
48 citations
TL;DR: In this article, the exterior point Eshelby tensor for an ellipsoid inclusion was derived as a special case of Ju and Sun's solution, and the closed-form solution was derived for the elastic field outside the inclusion.
Abstract: From the analytical formulation developed by Ju and Sun [1999, "A Novel Formulation for the Exterior-Point Eshelby's Tensor of an Ellipsoidal Inclusion, "ASME Trans. J. Appl. Mech., 66, pp. 570-574], it is seen that the exterior point Eshelby tensor for an ellipsoid inclusion possesses a minor symmetry. The solution to an elliptic cylindrical inclusion may be obtained as a special case of Ju and Sun's solution. It is noted that the closed-form expression for the exterior-point Eshelby tensor by Kim and Lee [2010, "Closed Form Solution of the Exterior-Point Eshelby Tensor for an Elliptic Cylindrical Inclusion, " ASME Trans. J. Appl. Mech., 77, p. 024503] violates the minor symmetry. Due to the importance of the solution in micromechanics-based analysis and plane-elasticity-related problems, in this work, the explicit analytical solution is rederived. Furthermore, the exterior-point Eshelby tensor is used to derive the explicit closed-form solution for the elastic field outside the inclusion, as well as to quantify the elastic field discontinuity across the interface. A benchmark problem is used to demonstrate a valuable application of the present solution in implementing the equivalent inclusion method.
48 citations
TL;DR: In this article, a numerical hybrid BEM method, in conjunction with a unit cell model, is proposed to evaluate these micromechanics models, where the unit cell is assumed to be periodic in the solid so as to account for interactions between cracks inside and outside the cell.
48 citations
TL;DR: In this article, the elastic-plastic response of short-fiber composites with a preferred orientation of the reinforcement, i.e., a texture, is predicted. But the authors focus on a simple micromechanics model to predict the elastic response.
48 citations