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- W4205486210 abstract "When calculating of the strength of elastic composite structures (bodies) using the finite element method (FEM), it is important to know the error of the approximate solution. Thus, it is necessary to build a sequence of approximate solutions, which is associated with the application of the procedure for shredding discrete models. Implementation of the shredding procedure (as part of micro-approach) for discrete models of composite bodies requires large resources of a computer, especially for discrete models with a micro-inhomogeneous structure. In this paper, we propose a method of equivalent strength conditions (MESC) for calculation of the static strength of elastic bodies with inhomogeneous regular structure, which is implemented using FEM with the use of multigrid finite elements (MgFE). Implementation of MESC is reduced to calculation on the strength of elastic isotropic homogeneous bodies using equivalent strength conditions. The advantages of MESC are that its implementation with the use of MgFE requires small computer resources and does not contain a procedure for shredding discrete models with inhomogeneous structure. Calculations of the strength of bodies with a microinhomogeneous regular structure using MESC show a high efficiency of its application. The main procedures realizing MESC are shown." @default.
- W4205486210 created "2022-01-25" @default.
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- W4205486210 date "2021-01-01" @default.
- W4205486210 modified "2023-10-17" @default.
- W4205486210 title "Equivalent strength conditions in calculations of elastic composite structures" @default.
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- W4205486210 doi "https://doi.org/10.1063/5.0073982" @default.
- W4205486210 hasPublicationYear "2021" @default.
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