Fundamental Mathematical Modeling of Additive Manufacturing
Springer International Publishing (Verlag)
978-3-031-47249-7 (ISBN)
This book elucidates the fundamental thermomechanical behaviour inherent in the 3D printing process within a laser-based powder bed fusion (L-PBF) system. It presents foundational concepts and provides in-depth derivations of the governing equations. The analysis encompasses arbitrary anisotropic linear viscoelastic materials, accounting for thermal effects. The authors leverage the theory of axially moving materials, a framework previously employed in the analysis of production processes within the process industry. They introduce a coordinate frame that moves in tandem with the printing laser, adopting an Eulerian perspective towards the in-motion solid. Designed for graduate students and researchers, this book is poised to foster a profound comprehension and spur innovative technological advancements in the realm of additive manufacturing.
Introduction.- Kinematics of industrial processes.- Fundamental balance laws for a moving continuum.- Constitutive equations.- Fluids versus solids.- Process model for L-PBF 3D printing of metals.- Analytical solution in one dimension.- Temperature-dependent 1D models, with analytical techniques and their limitations.- Numerical solution in two dimensions.
| Erscheinungsdatum | 12.12.2023 |
|---|---|
| Reihe/Serie | Springer Tracts in Additive Manufacturing |
| Zusatzinfo | X, 520 p. 72 illus., 56 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 955 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Technik ► Maschinenbau | |
| Schlagworte | Additive Manufacturing • Axially Moving Materials • Mathematical Modeling • Numerical Methods • Scientific Computing |
| ISBN-10 | 3-031-47249-7 / 3031472497 |
| ISBN-13 | 978-3-031-47249-7 / 9783031472497 |
| Zustand | Neuware |
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