On the characterization of directionally solidified dendritic microstructures

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On the characterization of directionally solidified dendritic microstructures. / Warnken, Nils; Reed, Roger.

In: Metallurgical and Materials Transactions A, Vol. 42, No. 6, 01.06.2011, p. 1675-1683.

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@article{c0f89915094a449d99bf6649104dc51e,
title = "On the characterization of directionally solidified dendritic microstructures",
abstract = "A novel method for the stereological assessment of arrays of directionally solidified dendrites is presented. It is suitable particularly for the evaluation of the distribution of primary dendrite arm spacings and the dendrite coordination number. The method involves (1) determination of the center of gravity of each dendrite in the array under consideration, (2) calculation of the distances to all neighboring dendrites in the data set (3) sorting of the distances determined into ascending order (4) under the assumption of a minimum number of nearest neighbors—typically three—calculation of the average distance to these and associated standard deviation, (5) an assessment of whether the remaining neighbors are within the range of proposed nearest-neighbor distances and (6) repetition of the previous to determine a set of values for the entire data set and, thus, the distributions of dendrite arm spacings and coordination numbers. By application of the method to experimental microstructures, it is demonstrated that a detailed statistical assessment of directionally solidified dendritic arrays can be accomplished.",
keywords = "Coordination Number, Directional Solidification, Average Coordination Number, Dendritic Microstructure, Noise Fraction",
author = "Nils Warnken and Roger Reed",
year = "2011",
month = jun,
day = "1",
doi = "10.1007/s11661-010-0544-4",
language = "English",
volume = "42",
pages = "1675--1683",
journal = "Metallurgical and Materials Transactions A",
issn = "1073-5623",
publisher = "ASM International",
number = "6",
note = "Bulk Metallic Glasses Conference, Feb 14-18, 2010. Seattle, Wa ; Conference date: 01-06-2011",

}

RIS

TY - JOUR

T1 - On the characterization of directionally solidified dendritic microstructures

AU - Warnken, Nils

AU - Reed, Roger

PY - 2011/6/1

Y1 - 2011/6/1

N2 - A novel method for the stereological assessment of arrays of directionally solidified dendrites is presented. It is suitable particularly for the evaluation of the distribution of primary dendrite arm spacings and the dendrite coordination number. The method involves (1) determination of the center of gravity of each dendrite in the array under consideration, (2) calculation of the distances to all neighboring dendrites in the data set (3) sorting of the distances determined into ascending order (4) under the assumption of a minimum number of nearest neighbors—typically three—calculation of the average distance to these and associated standard deviation, (5) an assessment of whether the remaining neighbors are within the range of proposed nearest-neighbor distances and (6) repetition of the previous to determine a set of values for the entire data set and, thus, the distributions of dendrite arm spacings and coordination numbers. By application of the method to experimental microstructures, it is demonstrated that a detailed statistical assessment of directionally solidified dendritic arrays can be accomplished.

AB - A novel method for the stereological assessment of arrays of directionally solidified dendrites is presented. It is suitable particularly for the evaluation of the distribution of primary dendrite arm spacings and the dendrite coordination number. The method involves (1) determination of the center of gravity of each dendrite in the array under consideration, (2) calculation of the distances to all neighboring dendrites in the data set (3) sorting of the distances determined into ascending order (4) under the assumption of a minimum number of nearest neighbors—typically three—calculation of the average distance to these and associated standard deviation, (5) an assessment of whether the remaining neighbors are within the range of proposed nearest-neighbor distances and (6) repetition of the previous to determine a set of values for the entire data set and, thus, the distributions of dendrite arm spacings and coordination numbers. By application of the method to experimental microstructures, it is demonstrated that a detailed statistical assessment of directionally solidified dendritic arrays can be accomplished.

KW - Coordination Number

KW - Directional Solidification

KW - Average Coordination Number

KW - Dendritic Microstructure

KW - Noise Fraction

U2 - 10.1007/s11661-010-0544-4

DO - 10.1007/s11661-010-0544-4

M3 - Conference article

VL - 42

SP - 1675

EP - 1683

JO - Metallurgical and Materials Transactions A

JF - Metallurgical and Materials Transactions A

SN - 1073-5623

IS - 6

T2 - Bulk Metallic Glasses Conference, Feb 14-18, 2010. Seattle, Wa

Y2 - 1 June 2011

ER -