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A Robust Numerical Procedure for the Thermomechanical Flow Simulation of Friction Stir Welding Process Using an Adaptive Element-Free Galerkin Method
- Source :
- Mathematical Problems in Engineering, Vol 2015 (2015)
- Publication Year :
- 2015
- Publisher :
- Hindawi Publishing Corporation, 2015.
-
Abstract
- A meshfree modeling technique of material flow in the three-dimensional multiphysics thermomechanical friction stir welding process is presented. In this numerical model, the discretization in space is derived by the Element-Free Galerkin method using a Lagrangian meshfree convex approximation. The discrete thermal and mechanical equations are weakly coupled as the time advances using a forward difference scheme. A mortar contact algorithm is employed to model the stirring effect and heat generation due to frictional contact. Heat conductance between contacting bodies is considered as a function of contact pressure. A two-way adaptive procedure is introduced to the coupled thermomechanical system to surpass potential numerical problems associated with the extensive material deformation and spatial discretization. In each adaptive phase, a consistent projection operation utilizing the first-order meshfree convex approximation is performed to remap the solution variables. Finally, a three-dimensional multiphysics thermomechanical coupled friction stir welding problem is analyzed to demonstrate the effectiveness of the present meshfree numerical procedure.
- Subjects :
- Materials science
Discretization
Article Subject
business.industry
lcsh:Mathematics
General Mathematics
Multiphysics
General Engineering
Finite difference
Mechanics
Structural engineering
lcsh:QA1-939
Material flow
lcsh:TA1-2040
Heat generation
Meshfree methods
Friction stir welding
lcsh:Engineering (General). Civil engineering (General)
business
Galerkin method
Subjects
Details
- Language :
- English
- ISSN :
- 1024123X
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....eff598c781264d180e871180ff28d67d
- Full Text :
- https://doi.org/10.1155/2015/486346