Mathematic Model and Method for Solving the Heat-Exchange Problem in Electron-Beam Welding of Arbitrary Areas

Mykhailo Berdnyk

doi:10.4028/www.scientific.net/SSP.291.173

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Mathematic Model and Method for Solving the Heat-Exchange Problem in Electron-Beam Welding of Arbitrary Areas
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Development of an Experimental Technique and Evaluate Limit of Plastic Deformation of Titanium Alloy OT4-0 under Superplastic Conditions
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Mathematic Model and Method for Solving the Heat-Exchange Problem in Electron-Beam Welding of Arbitrary Areas

Abstract:

For the first time in this article, a mathematical model has been developed for calculating the temperature fields in arbitrary areas in electron-beam welding; this model was created in the form of a boundary value problem of mathematical physics for a parabolic equation of heat conductivity with Dirichlet boundary conditions. A new integral transformation was constructed for a two-dimensional finite space, with the use of which, as well as the finite element method and Galerkin's method, a temperature field has been determined in the form of a convergent series.

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Periodical:

Solid State Phenomena (Volume 291)

Pages:

173-182

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.291.173

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Online since:

May 2019

Authors:

Mykhailo Berdnyk*

Keywords:

Dirac Function Delta, Finite Element Method, Integral Transformation, Multi-Index

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