کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
790616 901771 2006 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Anisotropic tensor spaces and functions, the mean values of tensor quantities and the limiting criteria
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Anisotropic tensor spaces and functions, the mean values of tensor quantities and the limiting criteria
چکیده انگلیسی

The concept of an anisotropic vector space with a tensor basis which is invariant under a symmetry transformations of a three-dimensional Euclidean vector space is introduced using the example of symmetric second- and fourth-rank Euclidean tensors. In addition to the traditional operation of summation, the operation of multiplication in a fixed tensor basis is introduced for the elements of this space, that is, the axioms of a ring with an identity element and zero divisors, which enable one to carry out algebraic and functional operations. The possibilities of the proposed mathematical procedure are illustrated using examples of anisotropic tensor functions of a tensor argument, by the general solution of the classical problem of calculating the mean value of the tensor of the moduli of elasticity of a single-phase grain-oriented polycrystalline material and the construction of the strength surfaces of anisotropic composite materials.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Applied Mathematics and Mechanics - Volume 70, Issue 4, 2006, Pages 657–663
نویسندگان
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