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Spatial Solutions Based on the Smoothed Particle Method and the Finite Element Method—A Hybrid Approach

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Modeling Steel Deformation in the Semi-Solid State

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 47))

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Abstract

This chapter presents a numerical model of fluid flow (SPH method) and solidification model on the basis of the smoothed particle method and the finite element method (hybrid approach FE+SPH). The formulated models constitutes the foundation of a new conceptual hybrid model combining the advantages of the finite element method and mesh-free methods. Examples of test simulations were presented, and the implemented model in the DEFFEM system was validated by comparing the obtained simulation results with the analytical solution based on the common laws of physics (fluid flow) and physical simulation (solidification).

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Authors and Affiliations

  1. Faculty of Metals Engineering and Industrial Computer Science, Department of Applied Computer Science and Modelling, AGH University of Science and Technology, Kraków, Poland

    Marcin Hojny

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  1. Marcin Hojny
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Correspondence to Marcin Hojny .

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Hojny, M. (2018). Spatial Solutions Based on the Smoothed Particle Method and the Finite Element Method—A Hybrid Approach. In: Modeling Steel Deformation in the Semi-Solid State. Advanced Structured Materials, vol 47. Springer, Cham. https://doi.org/10.1007/978-3-319-67976-1_5

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  • DOI: https://doi.org/10.1007/978-3-319-67976-1_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67975-4

  • Online ISBN: 978-3-319-67976-1

  • eBook Packages: EngineeringEngineering (R0)

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