کد مقاله کد نشریه سال انتشار مقاله انگلیسی ترجمه فارسی نسخه تمام متن
506795 865040 2016 5 صفحه PDF ندارد دانلود رایگان
عنوان انگلیسی مقاله
Bounds and self-consistent estimates of the elastic constants of polycrystals
ترجمه فارسی عنوان
برآورد خودسازگار و مرزها از ثابت های الاستیک پلی کریستال
کلمات کلیدی
ثابت الاستیک؛ مرزهای Hashin-Shtrikman؛ خودسازگاری؛ پلی کریستال؛ سرعت موج؛ خواص میانگین
Elastic constants; Hashin–Shtrikman bounds; Self-consistent; Voigt–Reuss–Hill average; Polycrystals; Wave velocity; Average properties
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی


• A homogenization model for the elastic constants of polycrystals is given.
• An iterative solution produces the effective bulk and shear modulus.
• Voigt–Reuss and Hashin–Shtrikman bounds are obtained within the iterative solution.
• Self-consistent elastic constants are obtained when the iterative solution converges.
• The model applies to isotropic polycrystals containing crystallites of any symmetry.

The Hashin–Shtrikman bounds on the elastic constants have been previously calculated for polycrystalline materials with crystallites having general elastic symmetry (triclinic crystallite symmetry). However, the calculation of tighter bounds and the self-consistent estimates of these elastic constants has remained unsolved. In this paper, a general theoretical expression for the self-consistent elastic constants is formulated. An iterative method is used to solve the expression for the self-consistent estimates. Each iteration of the solution gives the next tighter set of bounds including the well-known Voigt–Reuss and Hashin–Shtrikman bounds. Thus, all of the bounds on the elastic constants and the self-consistent estimates for any crystallite symmetry are obtained in a single, computationally efficient procedure. The bounds and self-consistent elastic constants are reported for several geophysical materials having crystallites of monoclinic and triclinic symmetries.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Geosciences - Volume 95, October 2016, Pages 118–122
نویسندگان
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