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Book Chapter
Direct Modeling of Structure Formation
Available to PurchaseBook: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005236
EISBN: 978-1-62708-187-0
... and applications of the phase field method and the cellular automaton method for modeling the direct evolution of structure at the intermediate length scales, where transport phenomena govern the spatial and temporal evolution of the structure that involves nucleation and growth. casting cellular automaton...
Abstract
Modeling of structure formation in casting of alloys involves several length scales, ranging from the atomic level to macroscopic scale. Intermediate length scales are used to define the microstructure of the growing phases and the grain structure. This article discusses the principles and applications of the phase field method and the cellular automaton method for modeling the direct evolution of structure at the intermediate length scales, where transport phenomena govern the spatial and temporal evolution of the structure that involves nucleation and growth.
Image
Direct modeling of solidification dendritic structure is characterized by f...
Available to PurchasePublished: 01 November 2010
Fig. 3 Direct modeling of solidification dendritic structure is characterized by full access to the topology of the phases. This is possible by using a representative elementary volume smaller than the interface thickness ( Fig. 2 ). As a result of simulation, the detailed distributions
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Image
Direct modeling of solidification of a single equiaxed grain using the cell...
Available to PurchasePublished: 01 November 2010
Fig. 7 Direct modeling of solidification of a single equiaxed grain using the cellular automaton (CA) method coupled with the finite-element (FE) method is a refinement of the indirect modeling approach ( Fig. 5 ). Integration over time on the geometrical CA grid of kinetics laws
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Image
Black-box modeling. (a) Direct link from alloy composition and processing t...
Available to PurchasePublished: 01 January 2005
Fig. 6 Black-box modeling. (a) Direct link from alloy composition and processing to product properties. (b) Determining product properties from alloy composition and processing via prediction of microstructure. (c) Using internal state variables to link chemical composition and processing
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Image
Published: 01 February 2024
Book Chapter
Modeling of Dendritic Grain Solidification
Available to PurchaseSeries: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005521
EISBN: 978-1-62708-197-9
... Abstract This article discusses the three different modeling approaches for grain structures formed during solidification of metallic alloys: direct modeling of dendritic structure, direct modeling of grain structure, and indirect modeling of grain structure. The main construction bases...
Abstract
This article discusses the three different modeling approaches for grain structures formed during solidification of metallic alloys: direct modeling of dendritic structure, direct modeling of grain structure, and indirect modeling of grain structure. The main construction bases, the scale at which it applies, and the mathematical background are presented for each modeling approach. The article concludes with a table that presents a comparison of the main inputs/outputs, approximations, numerical methods, kinetics laws, and applications for the three approaches to modeling of dendritic grain solidification.
Image
Schematics of the approximations used to represent the structure of a dendr...
Available to PurchasePublished: 01 November 2010
Fig. 1 Schematics of the approximations used to represent the structure of a dendritic alloy solidifying in a given volume of a casting. The direct modeling approaches are based on tracking methods of (a) the solid-liquid interface or (b) the mushy zone-liquid boundary, while (c) indirect
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Image
Experimental setup for in situ directed-energy deposition model validation....
Available to PurchasePublished: 15 June 2020
Fig. 6 Experimental setup for in situ directed-energy deposition model validation. LDS, laser displacement sensor. Source: Ref 14
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Predicted distortion by directed-energy deposition model for a Ti-6Al-4V si...
Available to PurchasePublished: 15 June 2020
Fig. 9 Predicted distortion by directed-energy deposition model for a Ti-6Al-4V single-wall build matches measured in situ distortion (recorded by laser displacement sensor) throughout the build process. Source: Ref 14
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Implementation of direct integration of control and mechanical system model...
Available to PurchasePublished: 01 January 1997
Fig. 6 Implementation of direct integration of control and mechanical system models. This is indicative of the information flow in the DADS/Plant code.
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Image
Schematic two-dimensional geometric description of a dendritic grain using ...
Available to PurchasePublished: 01 November 2010
Fig. 6 Schematic two-dimensional geometric description of a dendritic grain using direct modeling the grain structure by means of the cellular automaton (CA) method coupled with the finite-element (FE) method ( Fig. 1b ). A representation is given of (a) a unit triangular mesh used by the FE
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Predicted solidification for a spherical grain solidified by radial growth ...
Available to PurchasePublished: 01 November 2010
is not directly predicted by indirect modeling of the grain structure, and comparison with the prediction of the 1-D MZFT model only is possible with the CAFE simulation presented later in Fig. 7 . The composition profile within the grain is not yet available with direct modeling for the dendritic structure
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Schematic one-dimensional profiles of (a) the solid-liquid interface using ...
Available to PurchasePublished: 01 November 2010
and (c) temperature profiles in the liquid and solid phases. The width of the narrow vertical rectangle (red in the Online Edition) in (a) informs on the typical size of a representative elementary volume required for direct modeling of the solid-liquid interface, that is, smaller than the parameter W
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Book Chapter
Formation of Microstructures, Grain Textures, and Defects during Solidification
Available to PurchaseSeries: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005518
EISBN: 978-1-62708-197-9
... developed with the objective of performing a direct simulation of the microstructure. This category of models, which is also presented in the article “Modeling of Dendritic Grain Solidification” as direct models of the dendritic structure, encompasses the phase-field ( Ref 12 , Ref 13 , Ref 14 , Ref 15...
Abstract
This article reviews the various aspects of the simulation of solidification microstructures and grain textures. It describes the grain structures and morphology of dendrites or eutectics that compose the internal structure of the grains. A particular emphasis has been put on the simulation of defects related to grain textures and microstructures. The article provides information on the application of the most important simulation approaches and the status of numerical simulation.
Book Chapter
Introduction to Fundamentals of Modeling for Metals Processing
Available to PurchaseSeries: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005425
EISBN: 978-1-62708-196-2
... Abstract This article provides a brief historical perspective, a classification of metallurgical processes, basic model development efforts, and an overview of the potential future directions for the modeling of metals processing. It describes the classification of material behavior models...
Abstract
This article provides a brief historical perspective, a classification of metallurgical processes, basic model development efforts, and an overview of the potential future directions for the modeling of metals processing. It describes the classification of material behavior models, which can be grouped broadly into three classes: statistical, phenomenological, and mechanistic models. The article also presents an overview of the potential directions for the modeling of metals processing.
Book Chapter
Modeling Thermomechanical Effects on Additive Manufacturing
Available to PurchaseSeries: ASM Handbook
Volume: 24
Publisher: ASM International
Published: 15 June 2020
DOI: 10.31399/asm.hb.v24.a0006575
EISBN: 978-1-62708-290-7
... modeling, such as heat-input models, material models, and material activation models. Information on experimental setup for validation and simulation of directed-energy deposition model is then included. The article also provides information on moving-source and part-scale analyses to simulate the laser...
Abstract
This article provides a detailed overview of the thermomechanical modeling of additive manufacturing (AM) process. It begins with information on a basic understanding of the formation of residual stress during AM processing followed by a discussion on models commonly applied in AM modeling, such as heat-input models, material models, and material activation models. Information on experimental setup for validation and simulation of directed-energy deposition model is then included. The article also provides information on moving-source and part-scale analyses to simulate the laser powder-bed fusion AM process.
Book Chapter
Simulation of Rotational Welding Operations
Available to PurchaseSeries: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005515
EISBN: 978-1-62708-197-9
... Abstract Friction welding is based on the rapid introduction of heat, causing the temperature at the interface to rise sharply and leading to local softening. This article illustrates the basic principles of direct-drive rotational friction welding and inertia friction welding. Modeling...
Abstract
Friction welding is based on the rapid introduction of heat, causing the temperature at the interface to rise sharply and leading to local softening. This article illustrates the basic principles of direct-drive rotational friction welding and inertia friction welding. Modeling the effective friction response of the materials is central to simulating the welding process. The article discusses a series of distinct frictional stages during continuous drive friction welding. Modeling of the evolution of the thermal field has been an important objective since the early days of rotational friction welding. The article describes analytical thermal models and numerical thermal models for rotational friction welding. It concludes with information on the modeling of residual stresses.
Book Chapter
Internal-State Variable Modeling of Plastic Flow
Available to PurchaseSeries: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005413
EISBN: 978-1-62708-196-2
... and provides information on the physical background, alternative interpretations, and directions of research. The quantitative description of strain hardening of fcc polycrystals is provided. The article also discusses the modeling of stress-strain behavior in body-centered cubic metals, hexagonal metals...
Abstract
This article focuses on the analyzing and modeling of stress-strain behavior of polycrystals of pure face-centered cubic (fcc) metals in the range of temperatures and strain rates where diffusion is not important. It presents a phenomenological description of stress-strain behavior and provides information on the physical background, alternative interpretations, and directions of research. The quantitative description of strain hardening of fcc polycrystals is provided. The article also discusses the modeling of stress-strain behavior in body-centered cubic metals, hexagonal metals, stage IV work hardening, and the various classes of single-phase alloys.
Book Chapter
Directed-Energy Deposition
Available to PurchaseSeries: ASM Handbook
Volume: 23A
Publisher: ASM International
Published: 12 September 2022
DOI: 10.31399/asm.hb.v23A.a0006885
EISBN: 978-1-62708-392-8
... Abstract This article focuses on the directed-energy deposition (DED) additive manufacturing (AM) technique of biomedical alloys. First, it provides an overview of the DED process. This is followed by a section describing the design and development of the multiphysics computational modeling...
Abstract
This article focuses on the directed-energy deposition (DED) additive manufacturing (AM) technique of biomedical alloys. First, it provides an overview of the DED process. This is followed by a section describing the design and development of the multiphysics computational modeling of the layer-by-layer fusion-based DED process. A brief overview of the primary governing equations, boundary conditions, and numerical methods prescribed for modeling laser-based metal AM is then presented. Next, the article discusses fundamental concepts related to laser surface melting and laser-assisted bioceramic coatings/composites on implant surfaces, with particular examples related to biomedical magnesium and titanium alloys. It then provides a review of the processes involved in DED of biomedical stainless steels, Co-Cr-Mo alloys, and biomedical titanium alloys. Further, the article covers novel applications of DED for titanium-base biomedical implants. It concludes with a section on the forecast of DED in biomedical applications.
Book Chapter
Characterization and Modeling of the Heat Source
Available to PurchaseSeries: ASM Handbook
Volume: 6A
Publisher: ASM International
Published: 31 October 2011
DOI: 10.31399/asm.hb.v06a.a0005603
EISBN: 978-1-62708-174-0
... simplified and detailed heat-source models that have been used in the modeling of arc welding, high-energy-density welding, and resistance welding. arc welding direct heat source electric arc welding electron beam welding fusion welding gas metal arc welding gas tungsten arc welding heat-source...
Abstract
Three types of energy are used primarily as direct heat sources for fusion welding: electric arcs, laser beams, and electron beams. This article reviews the physical phenomena that influence the input-energy distribution of the heat source for fusion welding. It also discusses several simplified and detailed heat-source models that have been used in the modeling of arc welding, high-energy-density welding, and resistance welding.
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