Application of the finite superelement method for the doubly periodic functionally graded solid calculationстатья Электронная публикация

Дата последнего поиска статьи во внешних источниках: 26 июня 2019 г.

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[1] Mokryakov V. V. Application of the finite superelement method for the doubly periodic functionally graded solid calculation // 9th GRACM International Congress on Computational Mechanics 4-6 June 2018, Chania, Greece, Book of Full-length Papers. — Technical University of Crete Press г. Ханья, Греция, 2018. — P. 235–242. The well-known finite element method is not effective in case of continuously heterogeneous media, such as functionally graded solids. But single finite superelement [1] can represent an inhomogeneous region, dependently of superelement's basis power. In the paper, a numerical model of a functionally graded elastic medium by the finite superelement method is constructed. The superelement is developed by meshless method [2] and based on Bernstein polynomials [3]. A number of problems of the theory of elasticity are considered: doubly periodic media are constructed from one or two types of characteristic regions under external loadings. The first heterogeneous region is a central distributed inclusion; the second one is a central damaged area. Several doubly periodic combinations of these regions were considered. Stress-strain states are obtained.

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