کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7177327 1467022 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Properties of the Eshelby tensor and existence of the equivalent ellipsoidal inclusion solution
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Properties of the Eshelby tensor and existence of the equivalent ellipsoidal inclusion solution
چکیده انگلیسی
We show that the Eshelby tensor, SE, when written in the 6 × 6 matrix (Voigt) form, is weakly positive definite, i.e., it can be written as a product of two positive definite matrices. All eigenvalues of SE are real and lie between 0 and 1, for an arbitrary anisotropic elastic medium with a positive definite elastic stiffness tensor C. The weakly positive definiteness property leads to a direct proof of the existence of Eshelby's equivalent inclusion solution for a “transformed” ellipsoidal inhomogeneity in an infinite elastic medium.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Mechanics and Physics of Solids - Volume 121, December 2018, Pages 71-80
نویسندگان
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