منابع مشابه
Homogenization methods for anisotropic linear elastic polycrystals
The elastic properties of uniform polycrystalline materials without defects depend on both the constitutive properties of the constituents and the microstructural characteristics like the distribution of grain orientations and grain shapes. For an overview concerning the homogenization of elastic properties see, e.g., [1]. The elementary bounds by Voigt and Reuss take into account only the volu...
متن کاملStress hot spots in viscoplastic deformation of polycrystals
The viscoplastic deformation of polycrystals under uniaxial loading is investigated to determine the relationship between hot spots in stress and their location in relation to the microstructure. A 3D full-field formulation based on fast Fourier transforms for the prediction of the viscoplastic deformation of poly-crystals is used with rate-sensitive crystal plasticity. Two measured polycrystal...
متن کاملIrreversibility transition of colloidal polycrystals under cyclic deformation
Cyclically loaded disordered particle systems, such as granular packings and amorphous media, display a non-equilibrium phase transition towards irreversibility. Here, we investigate numerically the cyclic deformation of a colloidal polycrystal with impurities and reveal a transition to irreversible behavior driven by the displacement of dislocations. At the phase transition we observe enhanced...
متن کاملPropagation of elastic waves through textured polycrystals: application to ice
The propagation of elastic waves in polycrystals is revisited, with an emphasis on configurations relevant to the study of ice. Randomly oriented hexagonal single crystals are considered with specific, non-uniform, probability distributions for their major axis. Three typical textures or fabrics (i.e. preferred grain orientations) are studied in detail: one cluster fabric and two girdle fabrics...
متن کاملOn the statistical distribution of elastic moduli polycrystals
A method for calculating the distributions of the components of stiffness and compliance tensors of cubic polycrystalite material from parameters of single crystals is developed. Their mathematical form is derived under the assumption of normal distributions for the members of the rotation group SO(3). Finally the impact of texture on the distributions of Young’s modulus E, shear modulus G and ...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2003
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.91.055501