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Мathematical modeling of temperature fields in cross-border areas at electronic radiation welding
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UDC: 536.421
Publication Language: Ukrainian
Stuc. intelekt. 2018; 23(2):77-82
Abstract: In the article for the first time a mathematical model for calculating temperature fields in arbitrary domains with electron-beam welding in the form of a boundary value problem of mathematical physics for a steam-wave heat equation with boundary conditions of Neumann is constructed. The heat flux in the body during welding was modeled by the point source of heat moving along the contour of the body with a constant velocity using the Dirac function. A new integral transform for a two-dimensional finite space was constructed, with the application of which, as well as finite element and Galerkin methods, a temperature field was found in the form of a convergent series.
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