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Open AccessArticle

A New Nodal-Integration-Based Finite Element Method for the Numerical Simulation of Welding Processes

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ENISE, LTDS, UMR 5513 CNRS, University of Lyon, 58 rue Jean Parot, CEDEX 02, 42023 Saint-Etienne, France
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CNRS, UMR 7190, Institut Jean Le Rond d’Alembert, Tour 65-55, Sorbonne Université, 4 place Jussieu, CEDEX 05, 75252 Paris, France
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ESI FRANCE, bâtiment Le Récamier, 70 rue Robert, 69006 Lyon, France
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FRAMATOME-DTIM, 10 rue Juliette Récamier, CEDEX 06, 69456 Lyon, France
*
Author to whom correspondence should be addressed.
Metals 2020, 10(10), 1386; https://doi.org/10.3390/met10101386
Received: 14 September 2020 / Revised: 5 October 2020 / Accepted: 8 October 2020 / Published: 17 October 2020
(This article belongs to the Special Issue Advanced Computational Modeling of Metal Transformation Processes)
This paper aims at introducing a new nodal-integration-based finite element method for the numerical calculation of residual stresses induced by welding processes. The main advantage of the proposed method is to be based on first-order tetrahedral meshes, thus greatly facilitating the meshing of complex geometries using currently available meshing tools. In addition, the formulation of the problem avoids any locking phenomena arising from the plastic incompressibility associated with von Mises plasticity and currently encountered with standard 4-node tetrahedral elements. The numerical results generated by the nodal approach are compared to those obtained with more classical simulations using finite elements based on mixed displacement–pressure formulations: 8-node Q1P0 hexahedra (linear displacement, constant pressure) and 4-node P1P1 tetrahedra (linear displacement, linear pressure). The comparisons evidence the efficiency of the nodal approach for the simulation of complex thermal–elastic–plastic problems. View Full-Text
Keywords: nodal integration; welding simulations; volumetric locking; thermal–elastic–plastic behavior; finite element method nodal integration; welding simulations; volumetric locking; thermal–elastic–plastic behavior; finite element method
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MDPI and ACS Style

Jia, Y.; Bergheau, J.-M.; Leblond, J.-B.; Roux, J.-C.; Bouchaoui, R.; Gallée, S.; Brosse, A. A New Nodal-Integration-Based Finite Element Method for the Numerical Simulation of Welding Processes. Metals 2020, 10, 1386.

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