Integral mean curvature analysis of 3D grain growth: Linearity of dV/dt and grain volume

BR Patterson; RT DeHoff; CA Sahi; J Sun; Jette Oddershede; Florine Lena Bachmann; E Lauridsen; Dorte Juul Jensen

doi:10.1088/1757-899x/580/1/012020

Integral mean curvature analysis of 3D grain growth: Linearity of dV/dt and grain volume

BR Patterson, RT DeHoff, CA Sahi, J Sun, Jette Oddershede, Florine Lena Bachmann, E Lauridsen, Dorte Juul Jensen

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Abstract

The volumetric growth rate of individual grains has been found to be directly proportional to the individual grain volume V as dV/dt = β(Vo-V). This simple result is explained through the DeHoff relationship dV/dt = −kMs between growth rate and the integral mean curvature of individual grains, Ms, combined with the experimentally observed relationship between Ms and grain volume, Ms = α(Vo-V). These relationships have now been observed consistently in both 3D grain growth simulations and experiments. This paper describes the relationships among these kinetic and geometric grain characteristics that provide this simple description of 3D grain growth.

Original language	English
Article number	012020
Journal	I O P Conference Series: Materials Science and Engineering
Volume	580
Issue number	1
Number of pages	8
ISSN	1757-8981
DOIs	https://doi.org/10.1088/1757-899x/580/1/012020
Publication status	Published - 2019
Event	40th Risø International Symposium on Material Science: Metal Microstructures in 2D, 3D, and 4D - Roskilde, Denmark Duration: 2 Sept 2019 → 6 Sept 2019

Conference

Conference	40th Risø International Symposium on Material Science: Metal Microstructures in 2D, 3D, and 4D
Country/Territory	Denmark
City	Roskilde
Period	02/09/2019 → 06/09/2019

Bibliographical note

GA no. 788567

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10.1088/1757-899x/580/1/012020

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M4D: Metal Microstructures in Four Dimensions
Juul Jensen, D. (PI) & Hede, L. G. (Other)
01/10/2018 → 30/09/2023
Project: Research

Cite this

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title = "Integral mean curvature analysis of 3D grain growth: Linearity of dV/dt and grain volume",

abstract = "The volumetric growth rate of individual grains has been found to be directly proportional to the individual grain volume V as dV/dt = β(Vo-V). This simple result is explained through the DeHoff relationship dV/dt = −kMs between growth rate and the integral mean curvature of individual grains, Ms, combined with the experimentally observed relationship between Ms and grain volume, Ms = α(Vo-V). These relationships have now been observed consistently in both 3D grain growth simulations and experiments. This paper describes the relationships among these kinetic and geometric grain characteristics that provide this simple description of 3D grain growth.",

author = "BR Patterson and RT DeHoff and CA Sahi and J Sun and Jette Oddershede and Bachmann, \{Florine Lena\} and E Lauridsen and \{Juul Jensen\}, Dorte",

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AU - Patterson, BR

AU - DeHoff, RT

AU - Sahi, CA

AU - Sun, J

AU - Oddershede, Jette

AU - Bachmann, Florine Lena

AU - Lauridsen, E

AU - Juul Jensen, Dorte

N1 - GA no. 788567

PY - 2019

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N2 - The volumetric growth rate of individual grains has been found to be directly proportional to the individual grain volume V as dV/dt = β(Vo-V). This simple result is explained through the DeHoff relationship dV/dt = −kMs between growth rate and the integral mean curvature of individual grains, Ms, combined with the experimentally observed relationship between Ms and grain volume, Ms = α(Vo-V). These relationships have now been observed consistently in both 3D grain growth simulations and experiments. This paper describes the relationships among these kinetic and geometric grain characteristics that provide this simple description of 3D grain growth.

AB - The volumetric growth rate of individual grains has been found to be directly proportional to the individual grain volume V as dV/dt = β(Vo-V). This simple result is explained through the DeHoff relationship dV/dt = −kMs between growth rate and the integral mean curvature of individual grains, Ms, combined with the experimentally observed relationship between Ms and grain volume, Ms = α(Vo-V). These relationships have now been observed consistently in both 3D grain growth simulations and experiments. This paper describes the relationships among these kinetic and geometric grain characteristics that provide this simple description of 3D grain growth.

U2 - 10.1088/1757-899x/580/1/012020

DO - 10.1088/1757-899x/580/1/012020

M3 - Journal article

SN - 1757-8981

VL - 580

JO - I O P Conference Series: Materials Science and Engineering

JF - I O P Conference Series: Materials Science and Engineering

IS - 1

M1 - 012020

T2 - 40th Risø International Symposium on Material Science: Metal Microstructures in 2D, 3D, and 4D

Y2 - 2 September 2019 through 6 September 2019

ER -

Integral mean curvature analysis of 3D grain growth: Linearity of dV/dt and grain volume

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M4D: Metal Microstructures in Four Dimensions

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