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Towards the simulation of metal deposition with the Particle Finite Element Method and a phase transformation model

Schewe, Markus ; Noll, Isabelle ; Bartel, Thorsten and Menzel, Andreas LU (2025) In Computer Methods in Applied Mechanics and Engineering 437.
Abstract

The present paper establishes a simulation framework for modelling the deposition and solidification of steel melt in Directed Energy Deposition with a Laser Beam (DED-LB) by using the Particle Finite Element Method (PFEM). Unlike traditional finite element methods, the remeshing framework makes it possible to resolve the interaction between molten metal and substrate upon deposition, solidification and cooling, which provides a framework for accurately predicting residual stresses and distortion in the final part. The material model incorporates a liquid–solid phase transformation described by phase fractions, allowing for a precise definition of transformation stretches, latent heat and fundamental changes in the constitutive... (More)

The present paper establishes a simulation framework for modelling the deposition and solidification of steel melt in Directed Energy Deposition with a Laser Beam (DED-LB) by using the Particle Finite Element Method (PFEM). Unlike traditional finite element methods, the remeshing framework makes it possible to resolve the interaction between molten metal and substrate upon deposition, solidification and cooling, which provides a framework for accurately predicting residual stresses and distortion in the final part. The material model incorporates a liquid–solid phase transformation described by phase fractions, allowing for a precise definition of transformation stretches, latent heat and fundamental changes in the constitutive behaviour, whereas a purely temperature dependent phase evolution keeps the numerical cost manageable. While focusing on a two-dimensional (2d) simulation for simplicity and observability of the mesh adaptation, the methodology is extensible to a 3d setting. Key advancements include refined remeshing techniques of the connection zone and a large strain melt and solidification material model. The simulation results demonstrate the potential of the proposed framework for capturing critical aspects of DED-LB processes, laying the basis for extensive process simulations.

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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Adaptive remeshing, Additive manufacturing, Laser directed energy deposition, Particle Finite Element Method, Phase transformation, Solidification
in
Computer Methods in Applied Mechanics and Engineering
volume
437
article number
117730
publisher
Elsevier
external identifiers
  • scopus:85215861304
ISSN
0045-7825
DOI
10.1016/j.cma.2025.117730
language
English
LU publication?
yes
id
5cd7e1ac-1d1e-422b-9066-841c8f237486
date added to LUP
2025-03-21 09:11:48
date last changed
2025-04-04 15:12:52
@article{5cd7e1ac-1d1e-422b-9066-841c8f237486,
  abstract     = {{<p>The present paper establishes a simulation framework for modelling the deposition and solidification of steel melt in Directed Energy Deposition with a Laser Beam (DED-LB) by using the Particle Finite Element Method (PFEM). Unlike traditional finite element methods, the remeshing framework makes it possible to resolve the interaction between molten metal and substrate upon deposition, solidification and cooling, which provides a framework for accurately predicting residual stresses and distortion in the final part. The material model incorporates a liquid–solid phase transformation described by phase fractions, allowing for a precise definition of transformation stretches, latent heat and fundamental changes in the constitutive behaviour, whereas a purely temperature dependent phase evolution keeps the numerical cost manageable. While focusing on a two-dimensional (2d) simulation for simplicity and observability of the mesh adaptation, the methodology is extensible to a 3d setting. Key advancements include refined remeshing techniques of the connection zone and a large strain melt and solidification material model. The simulation results demonstrate the potential of the proposed framework for capturing critical aspects of DED-LB processes, laying the basis for extensive process simulations.</p>}},
  author       = {{Schewe, Markus and Noll, Isabelle and Bartel, Thorsten and Menzel, Andreas}},
  issn         = {{0045-7825}},
  keywords     = {{Adaptive remeshing; Additive manufacturing; Laser directed energy deposition; Particle Finite Element Method; Phase transformation; Solidification}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Computer Methods in Applied Mechanics and Engineering}},
  title        = {{Towards the simulation of metal deposition with the Particle Finite Element Method and a phase transformation model}},
  url          = {{http://dx.doi.org/10.1016/j.cma.2025.117730}},
  doi          = {{10.1016/j.cma.2025.117730}},
  volume       = {{437}},
  year         = {{2025}},
}