Fundamental Mathematical Modeling of Additive Manufacturing
Jeronen, Juha.
Fundamental Mathematical Modeling of Additive Manufacturing [electronic resource] / by Juha Jeronen, Tero Tuovinen, Matti Kurki. - 1st ed. 2024. - X, 520 p. 72 illus., 56 illus. in color. online resource. - Springer Tracts in Additive Manufacturing, 2730-9584 . - Springer Tracts in 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.
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.
9783031472503
Industrial engineering.
Production engineering.
Mathematics--Data processing.
Industrial and Production Engineering.
Computational Mathematics and Numerical Analysis.
T55.4-60.8
670
Fundamental Mathematical Modeling of Additive Manufacturing [electronic resource] / by Juha Jeronen, Tero Tuovinen, Matti Kurki. - 1st ed. 2024. - X, 520 p. 72 illus., 56 illus. in color. online resource. - Springer Tracts in Additive Manufacturing, 2730-9584 . - Springer Tracts in 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.
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.
9783031472503
Industrial engineering.
Production engineering.
Mathematics--Data processing.
Industrial and Production Engineering.
Computational Mathematics and Numerical Analysis.
T55.4-60.8
670
