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Simulation of Additive Manufacturing using Meshfree Methods

With Focus on Requirements for an Accurate Solution

  • Book
  • © 2022

Overview

Authors:
  1. Christian Weißenfels

    1. Institute of Continuum Mechanics, Leibniz University Hannover, Garbsen, Germany

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  • Presents an overview of important requirements for numerical solution schemes
  • Examines different meshfree methods with respect to accuracy
  • Serves as a step by step guide for the simulation of laser powder bed fusion and photopolymerization processes

Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 97)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • Christian Weißenfels
    Pages 1-5

  3. Additive Manufacturing Processes

    • Christian Weißenfels
    Pages 7-17

  4. Differential Equations

    • Christian Weißenfels
    Pages 19-33

  5. Meshfree Discretization Schemes

    • Christian Weißenfels
    Pages 35-75

  6. Meshfree Galerkin Methods

    • Christian Weißenfels
    Pages 77-99

  7. Smoothed Particle Hydrodynamics

    • Christian Weißenfels
    Pages 101-123

  8. Peridynamics

    • Christian Weißenfels
    Pages 125-138

  9. Modeling Selective Laser Melting

    • Christian Weißenfels
    Pages 139-183

  10. Modeling Direct Poly Printing

    • Christian Weißenfels
    Pages 185-202
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Keywords

About this book

This book provides a detailed instruction to virtually reproduce the processes of Additive Manufacturing on a computer. First, all mathematical equations needed to model these processes are presented. Due to their flexibility, meshfree methods represent optimal computational solution schemes to simulate Additive Manufacturing processes. On the other hand, these methods usually do not guarantee an accurate solution. For this reason, this monograph is dedicated in detail to the necessary criteria for computational solution schemes to provide accurate results. Several meshfree methods are examined with respect to these conditions. Two different 3D printing techniques are presented in detail. The results obtained from the simulation are investigated and compared with experimental data. This work is addressed to both scientists and professionals working in the field of development who are interested to learn the secrets behind meshfree methods or get into the modeling of Additive Manufacturing.

Authors and Affiliations

  • Institute of Continuum Mechanics, Leibniz University Hannover, Garbsen, Germany

    Christian Weißenfels

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