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The Finite Cell Method for Simulation of Additive Manufacturing

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Non-standard Discretisation Methods in Solid Mechanics

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 98))

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Abstract

Additive manufacturing processes are driven by moving laser-induced thermal sources which induce strong heat fluxes and fronts of phase change coupled to mechanical fields. Their numerical simulation poses several challenges, e.g. the evolution of the (possibly complex) domain as the specimen is produced and the differences in scales of the problem. In this work, the first aspect is addressed using the Finite Cell Method, an immersed approach that removes the need for meshing and is able to accurately handle complex geometries. For the second aspect we develop a framework with local refinement to selectively increase accuracy where needed, and derefinement in previously refined regions far from the laser source to keep the overall computational cost constant throughout the simulation. In this work, we present the essential theoretical fundament of the computational framework. Then, we show its application to model additive manufacturing processes in various examples, including experimental validation.

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Authors and Affiliations

  1. Technische Universität München, Arcisstr. 21, 80333, München, Germany

    Stefan Kollmannsberger, Davide D’Angella & Ernst Rank

  2. University of Pavia, via Ferrata 3, 27100, Pavia, Italy

    Massimo Carraturo, Alessandro Reali & Ferdinando Auricchio

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  1. Stefan Kollmannsberger
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  2. Davide D’Angella
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  3. Massimo Carraturo
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  4. Alessandro Reali
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  5. Ferdinando Auricchio
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  6. Ernst Rank
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Correspondence to Stefan Kollmannsberger .

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Editors and Affiliations

  1. Institute of Mechanics, University of Duisburg-Essen, Essen, Germany

    Jörg Schröder

  2. Institute of Continuum Mechanics, Leibniz Universität Hannover, Hannover, Germany

    Peter Wriggers

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Kollmannsberger, S., D’Angella, D., Carraturo, M., Reali, A., Auricchio, F., Rank, E. (2022). The Finite Cell Method for Simulation of Additive Manufacturing. In: Schröder, J., Wriggers, P. (eds) Non-standard Discretisation Methods in Solid Mechanics. Lecture Notes in Applied and Computational Mechanics, vol 98. Springer, Cham. https://doi.org/10.1007/978-3-030-92672-4_13

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