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topological model

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Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005459
EISBN: 978-1-62708-196-2
... methodologies. These include JMAK (Avrami) models, topological models, and mesoscale physics-based models. microstructure evolution thermomechanical processing nickel-base superalloys avrami model topological model mesoscale physics-based model THE MODELING OF MICROSTRUCTURE EVOLUTION during the...
Series: ASM Handbook
Volume: 1A
Publisher: ASM International
Published: 31 August 2017
DOI: 10.31399/asm.hb.v01a.a0006314
EISBN: 978-1-62708-179-5
... include the dendrite growth models and the cooperative eutectic growth models. The article provides some solutions using numerical models to simulate the kinetics of microstructure formation in cast iron. It concludes with a discussion on cellular automaton (CA) technique that can handle complex topology...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005422
EISBN: 978-1-62708-196-2
... the microstructure, formulation of the equation of motion, and implementation of the topological transformations. The article presents examples that illustrate the simulation of physical phenomena to demonstrate the predictive power and flexibility of network models. vertex models grain growth...
Series: ASM Handbook
Volume: 24
Publisher: ASM International
Published: 15 June 2020
DOI: 10.31399/asm.hb.v24.a0006555
EISBN: 978-1-62708-290-7
... design in which predictably loaded parts are analyzed using solid modeling/stress analysis software. This ensures that most or all elements of the part carry loads with an objective of reducing material to a minimum. Topology-optimized parts often have a biomimetic look that can be difficult or...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005428
EISBN: 978-1-62708-196-2
... the individual behavior of an average boundary. Explicitly including the topology of the boundary network into models is important because the misorientation of a boundary of a growing grain is defined not only by its crystallography but also by the crystallography of the grain into which it is...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002446
EISBN: 978-1-62708-194-8
... parameters, which may be a formidable task for large complex models. The reduced-basis method starts with a base configuration with a distinct mesh topology (i.e., the element layout and connectivity), which remains fixed during the optimization (see e.g., Ref 2 ). The mesh is then distorted during the...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005415
EISBN: 978-1-62708-196-2
... ability to deal with the collective behavior of a large ensemble of both chemically and mechanically interacting defects, retaining their advantages over the sharp-interface models in treating complicated geometrical and topological changes. Some of the important issues in dealing with complex alloy...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005412
EISBN: 978-1-62708-196-2
... Abstract This article summarizes a physical model of an interface structure and shows how the model helps in optimizing atomistic modeling studies. It presents the orientation relationship of the interface structure to define the mutual crystallographic position of adjacent crystals. The...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005521
EISBN: 978-1-62708-197-9
... fraction of the phases, while the solid phase is not topologically described ( Fig. 1c ). As a consequence, and unlike the previous type of model, no direct visualization of the dendritic structure is accessible with this approach, because the grains are not tracked individually. Coupling with modeling of...
Series: ASM Handbook
Volume: 4E
Publisher: ASM International
Published: 01 June 2016
DOI: 10.31399/asm.hb.v04e.a0006277
EISBN: 978-1-62708-169-6
... 10.1016/S1359-6454(03)00395-1 84. Pond R.C. , Ma X. , Chai Y.W. , and Hirth J.P. , Topological Modelling of Martensitic Transformations , Disloc. Solids , Vol 13 , 2007 , p 225 – 261 85. Mills M.J. , Hou D.H. , Suri S. , and Viswanathan G.B...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005426
EISBN: 978-1-62708-196-2
... , Series A, Vol 186 , 1895 , p 123 25. Tennekes H. and Lumley J.L. , A First Course in Turbulence , MIT Press , 1972 26. Launder B.E. and Spalding D.B. , Mathematical Models of Turbulence , Academic Press , 1972 27. Wilcox D.C. , Turbulence...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005403
EISBN: 978-1-62708-196-2
... properties of which will be obtained by averaging that of all the grains in the aggregate. Such an approach is close to the self-consistent models commonly used in the continuum mechanics of heterogeneous materials. It precludes topological effects, such as necklacing, which are expected, however, to be...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005435
EISBN: 978-1-62708-196-2
... Abstract This article assesses the evolution of martensite modeling in the changing materials engineering environment. It describes the physics of displacive transformations using Ginzburg-Landau theory, microstructure representation, dynamics and simulations, density functional theory, and...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005432
EISBN: 978-1-62708-196-2
... neighborhood, rather than the central cell being captured by cells in its neighborhood, the so-called inverse updating rule ( Ref 40 ). The inverse updating rule enables the CA to subsequently model curvature-driven boundary migration (grain growth) and thereby to incorporate several grain topology models in...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005433
EISBN: 978-1-62708-196-2
... less than the total specimen elongation that is the hallmark of superplasticity). Strain rates expected of diffusional creep models are less than what is observed in superplastic deformation. Diffusional creep models do not involve grain rotations that are topologically observed in...
Book: 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
... 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...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005504
EISBN: 978-1-62708-197-9
... simulations of microstructural evolution during materials processing and materials response. It also explains how the 3-D experimental data are actually input and used in the simulations using phase-field modeling and finite-element modeling. finite element method focused ion beam tomography...
Series: ASM Handbook
Volume: 20
Publisher: ASM International
Published: 01 January 1997
DOI: 10.31399/asm.hb.v20.a0002441
EISBN: 978-1-62708-194-8
... completely closed surface model lacks the topological information needed to automatically perform these types of computations. Figure 3 shows that cutting a surface model of the cube provides a square, but does not automatically determine that the inside of the square represents the inside of the part...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005406
EISBN: 978-1-62708-196-2
... Abstract This article focuses on the intermediate length scales, where transport phenomena govern the spatial and temporal evolution of a structure. It presents the cellular automaton (CA) and phase field (PF) methods that represent the state of the art for modeling macrostructure and...
Series: ASM Handbook
Volume: 17
Publisher: ASM International
Published: 01 August 2018
DOI: 10.31399/asm.hb.v17.a0006465
EISBN: 978-1-62708-190-0
... Abstract Additive manufacturing (AM) is the process of joining materials to make parts from three-dimensional (3D) model data, usually layer upon layer, as opposed to subtractive manufacturing and formative manufacturing methodologies. This article discusses various defects in AM components...