Bounds on texture coefficients

J. C. Nadeau; M. Ferrari

doi:10.1115/1.1533808

Bounds on texture coefficients

J. C. Nadeau, M. Ferrari

Houston Methodist Hospital

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The orientation distribution function (ODF) is expanded in terms of generalized spherical harmonics and bounds on the resulting texture coefficients are derived. A necessary and sufficient condition for satisfaction of the normalization property of the ODF is also provided. These results are of significance in, for example, microstructural optimization of materials and predicting texture coefficients based on wave velocity measurements.

Original language	English (US)
Pages (from-to)	200-203
Number of pages	4
Journal	Journal of Applied Mechanics, Transactions ASME
Volume	70
Issue number	2
DOIs	https://doi.org/10.1115/1.1533808
State	Published - Mar 2003

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1115/1.1533808

Cite this

@article{0ce6d3aa219c4ddf864e837e14ca1f71,

title = "Bounds on texture coefficients",

abstract = "The orientation distribution function (ODF) is expanded in terms of generalized spherical harmonics and bounds on the resulting texture coefficients are derived. A necessary and sufficient condition for satisfaction of the normalization property of the ODF is also provided. These results are of significance in, for example, microstructural optimization of materials and predicting texture coefficients based on wave velocity measurements.",

author = "Nadeau, {J. C.} and M. Ferrari",

year = "2003",

month = mar,

doi = "10.1115/1.1533808",

language = "English (US)",

volume = "70",

pages = "200--203",

journal = "Journal of Applied Mechanics, Transactions ASME",

issn = "0021-8936",

publisher = "American Society of Mechanical Engineers (ASME)",

number = "2",

}

TY - JOUR

T1 - Bounds on texture coefficients

AU - Nadeau, J. C.

AU - Ferrari, M.

PY - 2003/3

Y1 - 2003/3

N2 - The orientation distribution function (ODF) is expanded in terms of generalized spherical harmonics and bounds on the resulting texture coefficients are derived. A necessary and sufficient condition for satisfaction of the normalization property of the ODF is also provided. These results are of significance in, for example, microstructural optimization of materials and predicting texture coefficients based on wave velocity measurements.

AB - The orientation distribution function (ODF) is expanded in terms of generalized spherical harmonics and bounds on the resulting texture coefficients are derived. A necessary and sufficient condition for satisfaction of the normalization property of the ODF is also provided. These results are of significance in, for example, microstructural optimization of materials and predicting texture coefficients based on wave velocity measurements.

UR - http://www.scopus.com/inward/record.url?scp=0037365190&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037365190&partnerID=8YFLogxK

U2 - 10.1115/1.1533808

DO - 10.1115/1.1533808

M3 - Article

AN - SCOPUS:0037365190

SN - 0021-8936

VL - 70

SP - 200

EP - 203

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

IS - 2

ER -

Bounds on texture coefficients

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this