A robust numerical procedure for the thermomechanical flow simulation of friction stir welding process using an adaptive element-free Galerkin method
type: Item
instance of: scholarly article
title: A robust numerical procedure for the thermomechanical flow simulation of friction stir welding process using an adaptive element-free Galerkin method
zbMATH Open document ID: 1394.80015
DOI: 10.1155/2015/486346
author: Wei Hu
author: Hui-Ping Wang
author: Hongsheng Lu
author: C. T. Wu
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 80M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6926466
Wikidata QID: Q59118715
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/486346
OpenAlex ID: W1529193953
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description: scientific article; zbMATH DE number 6926466