Modeling of moving heat sources using meshless element free galerkin method

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Proceedings titleASM Proceedings of the International Conference: Trends in Welding Research
Conference9th International Conference on Trends in Welding Research, 4 June 2012 through 8 June 2012, Chicago, IL
Pages746751; # of pages: 6
SubjectApproximants; Element free Galerkin methods; Essential boundary conditions; Gaussian surface; Moving heat sources; Moving least squares; Rosenthal equation; Two dimensional model; Finite element method; Lagrange multipliers; Two dimensional; Welding; Heat conduction
AbstractThis article deals with the quasi stationary-state solution of the two-dimensional Rosenthal equation for a moving heat source using a meshless element free Galerkin method. Node-based moving least square approximants are used to approximate the unknown function of temperature. Essential boundary conditions are enforced by using Lagrange multipliers. The results are obtained for a two-dimensional model with a Gaussian surface moving heat source and compared with the results of the finite-element method. Copyright © 2013 ASM International® All rights reserved.
Publication date
AffiliationNational Research Council Canada (NRC-CNRC); Aerospace (AERO-AERO)
Peer reviewedYes
NPARC number21269693
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Record identifier96bfebb4-668a-4388-9d41-27aac95cf857
Record created2013-12-13
Record modified2016-05-09
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