Linear Intercept Length Distribution of Polycrystals
نویسندگان
چکیده
منابع مشابه
The distribution of internal interfaces in polycrystals
Recent advances both in experimental instrumentation and computing power have made it possible to interrogate the distribution of internal interfaces in polycrystals and the three dimensional structure of the grain boundary network with an unprecedented level of detail. The purpose of this paper is to review techniques that can be used to study the mesoscopic crystallographic structure of grain...
متن کاملHomogenization 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 کاملOn the Efficiency of the Mean Intercept Length Tensor
The Mean Intercept Length tensor is one of the most used techniques to estimate microstructure orientation and anisotropy of materials from 2D or 3D binary images. This paper proposes an efficient implementation of this technique. First, the Extended Gaussian Image is computed for the binary image. Second, the intercepts are computed for all possible orientations through an angular convolution....
متن کاملGeneralizing the mean intercept length tensor for gray-level images.
PURPOSE The mean intercept length tensor is the most used technique to estimate microstructure orientation and anisotropy of trabecular bone. This paper proposes an efficient extension of this technique to gray-scale images based on a closed formulation of the mean intercept length tensor and a generalization using different angular convolution kernels. METHODS First, the extended Gaussian im...
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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the Japan Institute of Metals
سال: 1988
ISSN: 0021-4434,2432-4701
DOI: 10.2320/matertrans1960.29.928