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diffusion simulation models

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Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005536
EISBN: 978-1-62708-197-9
... Fig. 1 Atoms to microstructure. Relationship between scales of different simulation methods. Source: Ref 3 Fig. 2 Relationship between thermodynamic and kinetic data within DICTRA Abstract This article focuses on the modeling and simulation of diffusion-controlled processes...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005237
EISBN: 978-1-62708-187-0
... Abstract In order to model macrosegregation, one must consider convection and the partitioning of the segregating elements at the dendritic length scale. This article describes microsegregation with diffusion in the solid. It presents a continuum model of macrosegregation and illustrates...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005501
EISBN: 978-1-62708-197-9
... of Phase-Field Simulations with Experimental Observations , J. Cryst. Growth , Vol 237–239 , 2002 , p 149 – 153 56. Tiaden J. and Grafe U. , A Phase-Field Model for Diffusion and Curvature Controlled Phase Transformations in Steels , Proceedings of the International Conference...
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
... 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 of Fig. 3 . Fig. 6 Schematic two-dimensional geometric description of a dendritic grain using direct modeling the grain...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005520
EISBN: 978-1-62708-197-9
... of the drive to produce ever higher-performance components with reduced weight to minimize energy consumption and hence environmental concerns ( Ref 26 ). Extensive experimental studies on pore formation in a range of alloys have led to ever more complex models that simulate both the diffusion of gaseous...
Series: ASM Handbook
Volume: 4B
Publisher: ASM International
Published: 30 September 2014
DOI: 10.31399/asm.hb.v04b.a0005950
EISBN: 978-1-62708-166-5
... simulation and its numerical implementation must cope with all of the following: The model must deal with multiple physical events (such as heat transfer, phase transformations, diffusion, and deformation) and coupling interactions between these events (such as temperature- and microstructure...
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
... the possibility of simulating directly the development of the solid/liquid interface, including its kinetics, pattern formation, and microsegregation with a limited number of approximations. While this article focuses on a presentation of the CA and PF methods that represent the state of the art for modeling...
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
... as other forms of the front tracking method to simulate the growth of the boundary defined between a mushy zone and the melt ( Ref 18 ). Before examining the technical details, it is worth noting that all models for microstructure formation on different scales rely on an indicator function that gives...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005434
EISBN: 978-1-62708-196-2
.... It describes the modeling of vapor-surface interactions and kinetics of hetereogeneous processes as well as the modeling and kinetics of homogenous reactions in chemical vapor deposition (CVD). The article provides information on the various stages of developing models for numerical simulation of the transport...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005518
EISBN: 978-1-62708-197-9
... gradient from left to right. (b) Experimental and calculated number densities of grains as a function of the cooling rates obtained after inverse modeling. By minimizing the differences between experimental and simulation results, the nucleation conditions of basal and randomly oriented grains could...
Series: ASM Handbook
Volume: 7
Publisher: ASM International
Published: 30 September 2015
DOI: 10.31399/asm.hb.v07.a0006033
EISBN: 978-1-62708-175-7
.... Appl. Phys. , Vol 36 , 1965 , p 1826 – 1835 10.1063/1.1714360 2. Nichols F.A. , Theory of Sintering of Wires by Surface Diffusion , Acta Metall. , Vol 16 , 1968 , p 103 – 113 3. Easterling K.E. and Tholen A.R. , Computer-Simulated Models of the Sintering...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005502
EISBN: 978-1-62708-197-9
...-Induced Surface Diffusion , J. Appl. Phys. , Vol 36 , 1965 , p 1826 – 1835 2. Nichols F.A. , Theory of Sintering of Wires by Surface Diffusion , Acta Metall. , Vol 16 , 1968 , p 103 – 113 3. Easterling K.E. and Tholen A.R. , Computer-Simulated Models...
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...
Book: Casting
Series: ASM Handbook
Volume: 15
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.hb.v15.a0005239
EISBN: 978-1-62708-187-0
... Abstract This article illustrates the simulation procedure of casting process. It describes important elements and points of the simulations. These include the setting of clear simulation objectives, selection of proper simulation code, hints in modeling of shape and phenomena, initial...
Series: ASM Handbook
Volume: 7
Publisher: ASM International
Published: 30 September 2015
DOI: 10.31399/asm.hb.v07.a0006117
EISBN: 978-1-62708-175-7
...-phase sintering. It describes the models for viscous sintering and the methods used in pressure-assisted sintering, namely, uniaxial hot pressing, hot isostatic pressing, sinter forging, and spark plasma sintering. activated liquid-phase sintering activated sintering computer simulation...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005430
EISBN: 978-1-62708-196-2
.... , Assessment of Diffusional Mobilities in Face-Centered Cubic Ni-Cr-Al Alloys , Z. Metallkd. , Vol 87 ( No. 2 ), 1996 , p 92 – 97 34. Helander T. and Ågren J. , Diffusion in the B2-BCC Phase of the Al-Fe-Ni System—Application of a Phenomenological Model , Acta Mater. , Vol 47...
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
.... Comput. Phys. , Vol 220 , 2006 , p 498 33. Gruber J. , Ma N. , Rollett A.D. , and Rohrer G.S. , Model. Simul. Mater. Sci. Eng. , Vol 14 , 2006 , p 1189 34. Vedantam S. and Patnaik B.S. , Phys. Rev. E , Vol 73 , 2006 , p 016703 35. Wang...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005511
EISBN: 978-1-62708-197-9
... Modeling of Diffusion-Controlled Precipitate Growth and Dissolution in Ti-Al-V , Scr. Mater. , Vol 50 , 2004 , p 471 – 476 69. Wu K. , Chang Y.A. , and Wang Y. , Simulating Interdiffusion Microstructures in Ni-Al-Cr Diffusion Couples: A Phase Field Approach Coupled with CALPHAD...
Series: ASM Handbook
Volume: 22B
Publisher: ASM International
Published: 01 November 2010
DOI: 10.31399/asm.hb.v22b.a0005525
EISBN: 978-1-62708-197-9
.... , and Heinrich J.C. , A Permeability Length Scale for Cross Flow Through Model Structures , Metall. Mater. Trans. B , Vol 26 , 1995 , p 1091 – 1092 29. Felicelli S.D. , Heinrich J.C. , and Poirier D.R. , Simulation of Freckles during Vertical Solidification of Binary Alloys...
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005410
EISBN: 978-1-62708-196-2
.... Martin G. and Soisson F. , Kinetic Monte Carlo Method to Model Diffusion Controlled Phase Transformations in the Solid State , Handbook of Materials Modeling , Yip S. , Ed., pp. 2223 – 2248 , Springer , The Netherlands , 2005 68. Bellon P. , Kinetic Monte Carlo...