Fundamental Mathematical Modeling of Additive Manufacturing

Fundamental Mathematical Modeling of Additive Manufacturing
Title Fundamental Mathematical Modeling of Additive Manufacturing PDF eBook
Author Juha Jeronen
Publisher Springer Nature
Pages 524
Release 2024-01-08
Genre Technology & Engineering
ISBN 3031472500

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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.

Modeling and Simulation of Functionalized Materials for Additive Manufacturing and 3D Printing: Continuous and Discrete Media

Modeling and Simulation of Functionalized Materials for Additive Manufacturing and 3D Printing: Continuous and Discrete Media
Title Modeling and Simulation of Functionalized Materials for Additive Manufacturing and 3D Printing: Continuous and Discrete Media PDF eBook
Author Tarek I. Zohdi
Publisher Springer
Pages 308
Release 2017-12-22
Genre Technology & Engineering
ISBN 3319700790

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Within the last decade, several industrialized countries have stressed the importance of advanced manufacturing to their economies. Many of these plans have highlighted the development of additive manufacturing techniques, such as 3D printing which, as of 2018, are still in their infancy. The objective is to develop superior products, produced at lower overall operational costs. For these goals to be realized, a deep understanding of the essential ingredients comprising the materials involved in additive manufacturing is needed. The combination of rigorous material modeling theories, coupled with the dramatic increase of computational power can potentially play a significant role in the analysis, control, and design of many emerging additive manufacturing processes. Specialized materials and the precise design of their properties are key factors in the processes. Specifically, particle-functionalized materials play a central role in this field, in three main regimes: (1) to enhance overall filament-based material properties, by embedding particles within a binder, which is then passed through a heating element and the deposited onto a surface, (2) to “functionalize” inks by adding particles to freely flowing solvents forming a mixture, which is then deposited onto a surface and (3) to directly deposit particles, as dry powders, onto surfaces and then to heat them with a laser, e-beam or other external source, in order to fuse them into place. The goal of these processes is primarily to build surface structures which are extremely difficult to construct using classical manufacturing methods. The objective of this monograph is introduce the readers to basic techniques which can allow them to rapidly develop and analyze particulate-based materials needed in such additive manufacturing processes. This monograph is broken into two main parts: “Continuum Method” (CM) approaches and “Discrete Element Method” (DEM) approaches. The materials associated with methods (1) and (2) are closely related types of continua (particles embedded in a continuous binder) and are treated using continuum approaches. The materials in method (3), which are of a discrete particulate character, are analyzed using discrete element methods.

Data-Driven Modeling for Additive Manufacturing of Metals

Data-Driven Modeling for Additive Manufacturing of Metals
Title Data-Driven Modeling for Additive Manufacturing of Metals PDF eBook
Author National Academies of Sciences, Engineering, and Medicine
Publisher National Academies Press
Pages 79
Release 2019-11-09
Genre Technology & Engineering
ISBN 0309494206

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Additive manufacturing (AM) is the process in which a three-dimensional object is built by adding subsequent layers of materials. AM enables novel material compositions and shapes, often without the need for specialized tooling. This technology has the potential to revolutionize how mechanical parts are created, tested, and certified. However, successful real-time AM design requires the integration of complex systems and often necessitates expertise across domains. Simulation-based design approaches, such as those applied in engineering product design and material design, have the potential to improve AM predictive modeling capabilities, particularly when combined with existing knowledge of the underlying mechanics. These predictive models have the potential to reduce the cost of and time for concept-to-final-product development and can be used to supplement experimental tests. The National Academies convened a workshop on October 24-26, 2018 to discuss the frontiers of mechanistic data-driven modeling for AM of metals. Topics of discussion included measuring and modeling process monitoring and control, developing models to represent microstructure evolution, alloy design, and part suitability, modeling phases of process and machine design, and accelerating product and process qualification and certification. These topics then led to the assessment of short-, immediate-, and long-term challenges in AM. This publication summarizes the presentations and discussions from the workshop.

Additive Manufacturing

Additive Manufacturing
Title Additive Manufacturing PDF eBook
Author Manu Srivastava
Publisher CRC Press
Pages 286
Release 2019-09-17
Genre Technology & Engineering
ISBN 1351049372

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There is a growing need for manufacturing optimization all over the world. The immense market of Additive Manufacturing (AM) technologies dictates a need for a book that will provide knowledge of the various aspects of AM for anyone interested in learning about this fast-growing topic. This book disseminates knowledge of AM amongst scholars at graduate level, post graduate level, doctoral level, as well as industry personnel. The objective is to offer a state-of-the-art book which covers all aspects of AM and incorporates all information regarding trends, historical developments, classifications, materials, tooling, software issues, dynamic design, principles, limitations, and communication interfaces in a one-stop resource. Features: Breaks down systematic coverage of various aspects of AM within four distinct sections Contains details of various AM techniques based on ASTM guidelines Discusses many AM applications with suitable illustrations Includes recent trends in the field of AM Covers engineering materials utilized as raw materials in AM Compares AM techniques with different traditional manufacturing methods

Mathematical Modelling and Optimization of Engineering Problems

Mathematical Modelling and Optimization of Engineering Problems
Title Mathematical Modelling and Optimization of Engineering Problems PDF eBook
Author J. A. Tenreiro Machado
Publisher Springer Nature
Pages 204
Release 2020-02-12
Genre Mathematics
ISBN 3030370623

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This book presents recent developments in modelling and optimization of engineering systems and the use of advanced mathematical methods for solving complex real-world problems. It provides recent theoretical developments and new techniques based on control, optimization theory, mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena including latest technologies such as additive manufacturing. Specific topics covered in detail include combinatorial optimization, flow and heat transfer, mathematical modelling, energy storage and management policy, artificial intelligence, optimal control, modelling and optimization of manufacturing systems.

Simulation of Additive Manufacturing using Meshfree Methods

Simulation of Additive Manufacturing using Meshfree Methods
Title Simulation of Additive Manufacturing using Meshfree Methods PDF eBook
Author Christian Weißenfels
Publisher Springer Nature
Pages 207
Release 2021-10-29
Genre Technology & Engineering
ISBN 3030873374

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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.

Thermo-Mechanical Modeling of Additive Manufacturing

Thermo-Mechanical Modeling of Additive Manufacturing
Title Thermo-Mechanical Modeling of Additive Manufacturing PDF eBook
Author Michael Gouge
Publisher Butterworth-Heinemann
Pages 296
Release 2017-08-03
Genre Technology & Engineering
ISBN 0128118210

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Thermo-mechanical Modeling of Additive Manufacturing provides the background, methodology and description of modeling techniques to enable the reader to perform their own accurate and reliable simulations of any additive process. Part I provides an in depth introduction to the fundamentals of additive manufacturing modeling, a description of adaptive mesh strategies, a thorough description of thermal losses and a discussion of residual stress and distortion. Part II applies the engineering fundamentals to direct energy deposition processes including laser cladding, LENS builds, large electron beam parts and an exploration of residual stress and deformation mitigation strategies. Part III concerns the thermo-mechanical modeling of powder bed processes with a description of the heat input model, classical thermo-mechanical modeling, and part scale modeling. The book serves as an essential reference for engineers and technicians in both industry and academia, performing both research and full-scale production. Additive manufacturing processes are revolutionizing production throughout industry. These technologies enable the cost-effective manufacture of small lot parts, rapid repair of damaged components and construction of previously impossible-to-produce geometries. However, the large thermal gradients inherent in these processes incur large residual stresses and mechanical distortion, which can push the finished component out of engineering tolerance. Costly trial-and-error methods are commonly used for failure mitigation. Finite element modeling provides a compelling alternative, allowing for the prediction of residual stresses and distortion, and thus a tool to investigate methods of failure mitigation prior to building. - Provides understanding of important components in the finite element modeling of additive manufacturing processes necessary to obtain accurate results - Offers a deeper understanding of how the thermal gradients inherent in additive manufacturing induce distortion and residual stresses, and how to mitigate these undesirable phenomena - Includes a set of strategies for the modeler to improve computational efficiency when simulating various additive manufacturing processes - Serves as an essential reference for engineers and technicians in both industry and academia