A hierarchical computational model for moving thermal loads and phase changes with applications to selective laser melting

DOI10.1016/j.camwa.2017.11.014zbMath1409.80001OpenAlexW2774503762MaRDI QIDQ1732415

Ernst Rank, Massimo Carraturo, Stefan Kollmannsberger, Nils Zander, Ali I. Özcan

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.11.014

zbMATH Keywords

\(h p\)-FEMAdditive manufacturingDynamically changing meshesTransient thermal problems

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

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Uses Software

• deal.ii
• PHAML
• Agros2D
• COMET
• quadgk
• PetIGA
• quadva

Cites Work

• Finite element modeling of multi-pass welding and shaped metal deposition processes
• Theoretical and numerical investigation of the finite cell method
• The finite cell method for three-dimensional problems of solid mechanics
• Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
• The \(h,p\) and \(h\)-\(p\) version of the finite element method; basis theory and applications
• Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes
• PetIGA: a framework for high-performance isogeometric analysis
• Smart octrees: accurately integrating discontinuous functions in 3D
• The multi-level \(hp\)-method for three-dimensional problems: dynamically changing high-order mesh refinement with arbitrary hanging nodes
• Vectorized adaptive quadrature in MATLAB
• Thermomechanical finite element simulations of selective electron beam melting processes: performance considerations
• Modelling of addition of filler material in large deformation analysis of multipass welding
• PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD
• deal.II—A general-purpose object-oriented finite element library
• An efficient algorithm for analysis of nonlinear heat transfer with phase changes
• A temperature‐based formulation for finite element analysis of generalized phase‐change problems
• Computing with hp-ADAPTIVE FINITE ELEMENTS

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