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2015 | OriginalPaper | Chapter

7. An Approach to Modeling of Additive Manufacturing Technologies

Authors : Alexander V. Manzhirov, Sergei A. Lychev

Published in: Transactions on Engineering Technologies

Publisher: Springer Netherlands

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Abstract

Mathematical modeling of additive manufacturing technologies is aimed at improving the performance of device, machine, and mechanism parts. These technologies include stereolithography, electrolytic deposition, thermal and laser-based 3D printing, 3D-IC fabrication technologies, etc. They are booming nowadays, because they can provide rapid low-cost high-accuracy production of 3D items of arbitrarily complex shape (in theory, from any material). However, deformation and strength problems for products manufactured with these technologies yet remain to be solved. The fundamentally new mathematical models considered in the paper describe the evolution of the end product stress-strain state in additive manufacturing and are of general interest for modern technologies in engineering, medicine, electronics industry, aerospace industry, and other fields.

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Footnotes
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It can be shown that on any Riemannian manifold \((\mathfrak{B},\boldsymbol{g})\) there is a unique linear connection ∇ that is compatible with \(\boldsymbol{G}\) and is torsion-free. This connection is Levi-Civita connection.
 
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Metadata
Title
An Approach to Modeling of Additive Manufacturing Technologies
Authors
Alexander V. Manzhirov
Sergei A. Lychev
Copyright Year
2015
Publisher
Springer Netherlands
Book
Transactions on Engineering Technologies

Print ISBN: 978-94-017-9803-7

Electronic ISBN: 978-94-017-9804-4

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-94-017-9804-4_7

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