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1-14 of 14 Search Results for
Johnson-Mehl-Avrami-Kolmogorov model
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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
... dynamic recrystallization (DDRX). The article discusses the assumptions and simplifications for the Avrami analysis. It describes the effects of nucleation and growth rates on recrystallization kinetics and recrystallized grain size based on the Johnson-Mehl-Avrami-Kolmogorov model for static...
Abstract
Recrystallization is to a large extent responsible for their final mechanical properties. This article commences with a discussion on static recrystallization (SRX) and dynamic recrystallization (DRX). The DRX includes continuous dynamic recrystallization (CDRX) and discontinuous dynamic recrystallization (DDRX). The article discusses the assumptions and simplifications for the Avrami analysis. It describes the effects of nucleation and growth rates on recrystallization kinetics and recrystallized grain size based on the Johnson-Mehl-Avrami-Kolmogorov model for static recrystallization. The article reviews the kinetics of DRX with the aid of the Avrami relations. It considers the basic framework of the mesoscale approach for DDRX, including the three basic equations for grain size changes, strain hardening and dynamic recovery, and nucleation. The article explains the mesoscale approach for CDRX to predict microstructural evolutions occurring during hot deformation, along with an illustration of the main features of the CDRX mesoscale model.
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in Simulation-Driven Design and the Role of Optimization in Design for Additive Manufacturing
> Additive Manufacturing Design and Applications
Published: 30 June 2023
Fig. 7 Numerical models for microstructure prediction. JMAK, Johnson-Mehl-Avrami-Kolmogorov; HAZ, heat-affected zone. Adapted from Ref 42 . Courtesy of TWI
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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
... The basis of the formulation developed by Johnson, Mehl, Avrami, and Kolmogorov ( Ref 15 , Ref 16 , Ref 17 , Ref 18 , Ref 19 ) lies in the definition of an extended volume, denoted X ext , as that of the total volume occupied by recrystallized grains should their growth not be constrained...
Abstract
This article summarizes the general features of microstructure evolution during the thermomechanical processing (TMP) of nickel-base superalloys and the challenges posed by the modeling of such phenomena. It describes the fundamentals and implementations of various modeling methodologies. These include JMAK (Avrami) models, topological models, and mesoscale physics-based 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
... component. Expressions similar to Eq 30 have also been proposed by Johnson and Mehl ( Ref 3 ) and Avrami ( Ref 55 ); therefore; the modification brought to Eq 28 is known in the literature as the Kolmogorov-Johnson-Mehl-Avrami model. Consequently, the volumetric evolution rate of the solid phase...
Abstract
The microstructure that develops during the solidification stage of cast iron largely influences the subsequent solid-state transformations and mechanical properties of the cast components. This article provides a brief introduction of methods that can be used for simulating the solidification microstructure of cast iron. Analytical as well as numerical models describing solidification phenomena at both macroscopic and microscopic scales are presented. The article introduces macroscopic transport equations and presents analytical microscopic models for solidification. These models 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 changes and reproduce most of the solidification microstructure features observed experimentally.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005409
EISBN: 978-1-62708-196-2
... f α volume fraction of alpha G growth rate during phase transformation G s shear modulus J mass flux K strength coefficient k rate constant in Johnson-Mehl-Avrami-Kolmogorov (JMAK) equation ( Eq 23 ) k B Boltzmann's constant k LSW Lifshitz, Slyosov...
Abstract
This article focuses on the modeling of microstructure evolution during thermomechanical processing in the two-phase field for alpha/beta and beta titanium alloys. It also discusses the mechanisms of spheroidization, the coarsening, particle growth, and phase decomposition in titanium alloys, with their corresponding equations.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005401
EISBN: 978-1-62708-196-2
...; see text for details. JMAK, Johnson-Mehl-Avrami-Kolmogorov; GB, grain boundary; MCS, Monte Carlo steps. Source: Ref 42 During recrystallization, the cold rolling texture diminishes in intensity, and a recrystallization-texture component (φ 1 = 15°, Φ = 35°, φ 2 = 35°) appears...
Abstract
The modeling and simulation of texture evolution for titanium alloys is often tightly coupled to microstructure evolution. This article focuses on a number of problems for titanium alloys in which such coupling is critical in the development of quantitative models. It discusses the phase equilibria, crystallography, and deformation behavior of titanium and titanium alloys. The article describes the modeling and simulation of recrystallization and grain growth of single-phase beta and single-phase alpha titanium. The deformation- and transformation-texture evolution of two-phase (alpha/beta) titanium alloys are also discussed.
Series: ASM Handbook
Volume: 4A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v04a.a0005786
EISBN: 978-1-62708-165-8
... formation from eutectoid pearlite has been shown to follow the well-known Johnson-Mehl-Avrami-Kolmogorov model ( Ref 8 , 9 ) that applies to many diffusional processes. Austenite formation in Fig. 3 occurs at shorter times with increasing temperature (i.e., the reaction rate increases monotonically...
Abstract
Austenitization refers to heating into the austenite phase field, during which the austenite structure is formed. This article highlights the purpose of austenitization, and reviews the mechanism and importance of thermodynamics and kinetics of austenite structure using an iron-carbon binary phase diagram. It also describes the effects of austenite grain size, and provides useful information on controlling the austenite grain size using the thermomechanical process.
Series: ASM Handbook
Volume: 24A
Publisher: ASM International
Published: 30 June 2023
DOI: 10.31399/asm.hb.v24A.a0006950
EISBN: 978-1-62708-439-0
... to the process parameters, several numerical models have been developed. Phenomenological methods (Johnson-Mehl-Avrami-Kolmogorov, or JMAK), kinetic Monte Carlo, cellular automata, and phase field ( Fig. 7 ) are examples of the most-used models ( Ref 41 ). Those methods are primarily based on the previous...
Abstract
Additive manufacturing (AM) provides exceptional design flexibility, enabling the manufacture of parts with shapes and functions not viable with traditional manufacturing processes. The two paradigms aiming to leverage computational methods to design AM parts imbuing the design-for-additive-manufacturing (DFAM) principles are design optimization (DO) and simulation-driven design (SDD). In line with the adoption of AM processes by industry and extensive research efforts in the research community, this article focuses on powder-bed fusion for metal AM and material extrusion for polymer AM. It includes detailed sections on SDD and DO as well as three case studies on the adoption of SDD, DO, and artificial-intelligence-based DFAM in real-life engineering applications, highlighting the benefits of these methods for the wider adoption of AM in the manufacturing industry.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005414
EISBN: 978-1-62708-196-2
... models for recrystallization kinetics have been developed based on the well-known Johnson-Mehl-Avrami-Kolmogorov (JMAK) equation: (Eq 6) X = 1 − exp ( − 0.693 ( t t 0.5 ) n ) where X is the fraction recrystallized at time t , t 0.5 is the time for 50...
Abstract
Computer simulation of microstructural evolution during hot rolling of steels is a major topic of research and development in academia and industry. This article describes the methodology and procedures commonly employed to develop microstructural evolution models to simulate microstructural evolution in steels. It presents an example of the integration of finite element modeling and microstructural evolution models for the simulation of metal flow and microstructural evolution in a hot rolling process.
Series: ASM Handbook
Volume: 22A
Publisher: ASM International
Published: 01 December 2009
DOI: 10.31399/asm.hb.v22a.a0005408
EISBN: 978-1-62708-196-2
... that U RV = 200 kJ/mol. The recrystallization model is an extension of the classical Johnson-Mehl-Avrami-Kolmogorov approach, treating recrystallization as a nucleation and growth process: (Eq 7) X ˙ = ( 1 − X ( t ) ) ⋅ N ( t ) ⋅ 4 π ⋅ r ( t ) 2 ⋅ G ( t...
Abstract
This article explores the potential of through-process simulations of the development of microstructure, texture, and resulting properties during the thermomechanical processing of Al-Mn-Mg alloys, starting from the as-cast ingot to final-gage sheet. It provides an introduction of the thermomechanical production of aluminum sheet and, in particular, highlights the main effects governing the evolution of microstructure and texture. The simulation tools used to model the evolution of microchemistry, microstructure, and texture upon deformation and recrystallization of aluminum alloys are described. The article discusses the recrystallization behavior of alloy AA 3104 during the interstand times in between two consecutive hot rolling passes with the help of combined microstructure models.
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
... steady-state nucleation rate incubation time homogeneous phase cluster condensation evaporation rate cluster dynamics nucleation modeling precipitate size distribution NUCLEATION is the onset of a first-order phase transition by which a metastable phase transforms into a more stable one...
Abstract
This article describes the results obtained by Volmer, Weber, Farkas, Becker, and Doring, which constitute the classical nucleation theory. These results are the predictions of the precipitate size distribution, steady-state nucleation rate, and incubation time. The article reviews a nucleating system as a homogeneous phase using the classical nucleation theory, along with heterophase fluctuations that led to the formation of precipitates. It discusses the gas cluster dynamics using the kinetic approach to describe nucleation. The article presents key parameters, such as cluster condensation and evaporation rates, to describe the time evolution of the system. The predictions and extensions of the classical nucleation theory are discussed. The article also provides the limitations of classical nucleation theories in cluster dynamics.
Series: ASM Handbook
Volume: 4A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v04a.a0005818
EISBN: 978-1-62708-165-8
Abstract
The nitriding process typically involves the introduction of nitrogen into the surface-adjacent zone of a component, usually at a temperature between 500 and 580 deg C. This article provides an overview of the essential aspects of the thermodynamics and kinetics of nitriding and nitrocarburizing of iron-base materials with gaseous processes. It describes nitriding potentials and the Lehrer diagram, carburizing potentials, controlled nitriding and nitrocarburizing, and the microstructural evolution of the compound layer and the diffusion zone.
Series: ASM Handbook
Volume: 4A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v04a.a0005787
EISBN: 978-1-62708-165-8
... interactions of governing phase-transformation kinetics in an industrial scenario can be effectively captured through mathematical modeling of the annealing operation, resulting in significant improvement in quality and furnace productivity ( Ref 16 , Ref 17 , 18 ). Annealing of Steel Sheet and Strip...
Abstract
Steels may be annealed to facilitate cold working or machining, to improve mechanical or electrical properties, or to promote dimensional stability. This article, using iron-carbon phase diagram, describes the types of annealing processes, namely, subcritical annealing, intercritical annealing, supercritical or full annealing, and process annealing. Spheroidizing is performed for improving the cold formability of steels. The article provides guidelines for annealing and tabulates the critical temperature values for selected carbon and low-alloy steels and recommended temperatures and time cycles for annealing of alloy steels and carbon steel forgings. Different combinations of annealed microstructure and hardness are significant in terms of machinability. Furnaces for annealing are of two basic types, batch furnaces and continuous furnaces. The article concludes with a description of the annealing processes for steel sheets and strips, forgings, bars, rods, wires, and plates.
Series: ASM Handbook
Volume: 4A
Publisher: ASM International
Published: 01 August 2013
DOI: 10.31399/asm.hb.v04a.9781627081658
EISBN: 978-1-62708-165-8