Reduced order modeling via PGD for highly transient thermal evolutions in additive manufacturing

Autor: Victor Oancea, Omar Bettinotti, Andrea Barbarulo, B. Favoretto, C.A. de Hillerin
Přispěvatelé: Laboratoire de mécanique des sols, structures et matériaux (MSSMat), CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Dassault Systèmes, Dassault Systèmes SIMULIA Corp., Johnston, RI, USA
Rok vydání: 2019
Předmět:
Work (thermodynamics)
Materials science
Computational Mechanics
General Physics and Astronomy
Context (language use)
010103 numerical & computational mathematics
Powder Bed Fabrication
01 natural sciences
Thermal
Boundary value problem
0101 mathematics
[SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph]
Model order reduction
Computer simulation
Reduced Order Modeling
Mechanical Engineering
[SPI.MECA.VIBR]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph]
Mechanics
Proper Generalized Decomposition
[SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph]
Computer Science Applications
010101 applied mathematics
[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism
[SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]
Mechanics of Materials
Transient (oscillation)
Reduction (mathematics)
AM Process Simulation
Zdroj: Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2019, ⟨10.1016/j.cma.2019.02.033⟩
ISSN: 0045-7825
DOI: 10.1016/j.cma.2019.02.033
Popis: International audience; In this paper, a highly performing model order reduction technique called Proper Generalized Decomposition (PGD) is applied to the numerical mod-eling of highly transient non-linear thermal phenomena associated with additive manufacturing (AM) powder bed fabrication (PBF) processes. The manufacturing process allows for unprecedented design freedom but fabricated parts often suffer from lower quality mechanical properties associated with the fast transients and high temperature gradients during the localized melting-solidification process. For this reason, an accurate numerical model for the thermal evolutions is a major necessity. This work focuses on providing a low-cost/high accuracy prediction of the high gradient thermal field occurring in a material under the action of a concentrated moving laser source, while accounting for phase changes, material non-linearities and time and space-dependent boundary conditions. An extensive numerical simulation campaign shows that the use of PGD in this context enables a remarkable reduction in the total number of global matrix inversions (5 times less or better) compared to standard techniques when simulating realistic AM PBF scenarios.
Databáze: OpenAIRE
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