About formation methods of block structures with inhomogeneity
UDC
539.3EDN
VVXYMDAbstract
Block elements’ properties which have different types of approximations and form complex block structures which have inhomogeneity of different nature. Particularly, it referred to opportunity of composition material formation which contain of hardenable inhomogeneity of sheath strained material type. Detailed analysis of different approximations’ methods of block elements is given in the work and it is proved that they have two basic forms: bundled and uncoiled one. Uncoiled form of block element coincides with typical solution of boundary tasks. Bundled form has integral approximation and that is it which allows to examine block elements as topological objects and plot quotient topology for junction of block elements in block structure. In the basis of the research approach of block element and factorization method lie. This approach helps to research and to solve boundary problems for systems of differential equations, which can’t be researched by means of other approaches.
Keywords:
block element, factorization, topology, integral and differential factorization methods, exterior forms, block structures, boundary problemsFunding information
Отдельные фрагменты работы выполнены в рамках реализации Госзадания на 2016 г. проект (0256-2014-0006), Программы президиума РАН 1-33П, проекты с (0256-2015-0088) по (0256-2015-0093), и при поддержке грантов РФФИ (14-08-00404, 15-01-01379, 15-08-01377).
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