Modeling and simulation of keyhole-based welding as multi-domain problem using the extended finite element method |
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| Affiliation: | 1. The Center for Industrial Mathematics, University of Bremen, Bremen 28359, Germany;2. Modeling Optimization and Computing Technology SAS de CV, Monterrey 64700, Mexico;1. Department of Agricultural Sciences, University of Naples – Federico II, Italy;2. Department of Civil Engineering, University of Calabria, Italy;3. Department of Engineering for Innovation, University of Salento, Italy;1. Institute of Continuum Mechanics, Leibniz University Hannover, Hannover 30167, Germany;2. Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;3. Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam;4. Key Laboratory of Urban Security and Disaster Engineering (Beijing University of Technology), Ministry of Education, Beijing 100124, China;5. Faculty of Engineering, China University of Geosciences, Wuhan 430074, China;6. Institute of Structural Mechanics, Bauhaus-University Weimar, Weimar 99423, Germany;1. Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India;2. Department of Mechanical Engineering, Jadavpur University, Kolkata 700032, India |
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| Abstract: | In this article, we demonstrate the flexibility of a multi-domain approach combined with the extended finite element method by addressing the modeling and simulation of keyhole-based welding. The welding process is modeled by the heat equation where the keyhole geometry and the interface separating molten and solid area are represented by two independent level set functions, separating the domain into three time-dependent subdomains. The keyhole shape is computed by an analytical approach based on the energy balance at the keyhole wall and its shape is assumed to be fixed. The solid-liquid interface is considered as free boundary whose evolution is described by the two-phase Stefan problem. The coupled problem including the two discontinuities is solved using a multi-domain XFEM implementation. The simulated results are shown together with experimental data on different welded materials. |
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