Correction of elastic anisotropy in williamson-hall plots by diffraction young's modulus and direct fitting method

Setsuo Takaki, Fulin Jiang, Takuro Masumura, Toshihiro Tsuchiyma

Research output: Contribution to journalReview article

9 Citations (Scopus)

Abstract

It is known that the micro-strain in cold worked iron can be evaluated by the classical Williamson-Hall method using the three data of diffraction peaks: (110), (211) and (220). It is not clarified that the obtained value gives the true micro-strain or not. In addition, the accuracy of analysis is not so high because the diffraction strength from (220) plane is generally very weak. In this paper, three methods, i.e. classical Williamson-Hall method, Diffraction Young's Modulus Correction method and Direct Fitting method, ware attempted to reconfirm the reasonability of the classical Williamson-Hall method and to estimate accurate values of the parameter and the micro-strain in the Williamson-Hall equation. The results obtained are as follows: 1) Elastic anisotropy in the Williamson-Hall plots is corrected using the parameter which relates to the values of diffraction Young's modulus. 2) The optimal values of parameter can be determined by the Direct Fitting method, which can be used to determine the timely orientation-dependent diffraction Young's modulus (E*hkl) in cold worked specimens. 3) It was confirmed that the classical Williamson-Hall method can generally give reliable values for the parameter and the micro-strain . 4) No large difference is found for the values of micro-strain from the three methods. 5) There is a clear linearity between the micro-strain and yield stress in cold rolled iron specimens.

Original languageEnglish
Pages (from-to)769-775
Number of pages7
Journalisij international
Volume58
Issue number4
DOIs
Publication statusPublished - Jan 1 2018

Fingerprint

Anisotropy
Diffraction
Elastic moduli
Iron
Yield stress

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Metals and Alloys
  • Materials Chemistry

Cite this

Correction of elastic anisotropy in williamson-hall plots by diffraction young's modulus and direct fitting method. / Takaki, Setsuo; Jiang, Fulin; Masumura, Takuro; Tsuchiyma, Toshihiro.

In: isij international, Vol. 58, No. 4, 01.01.2018, p. 769-775.

Research output: Contribution to journalReview article

@article{d36cef282dc54a77b67beab6a694ea80,
title = "Correction of elastic anisotropy in williamson-hall plots by diffraction young's modulus and direct fitting method",
abstract = "It is known that the micro-strain in cold worked iron can be evaluated by the classical Williamson-Hall method using the three data of diffraction peaks: (110), (211) and (220). It is not clarified that the obtained value gives the true micro-strain or not. In addition, the accuracy of analysis is not so high because the diffraction strength from (220) plane is generally very weak. In this paper, three methods, i.e. classical Williamson-Hall method, Diffraction Young's Modulus Correction method and Direct Fitting method, ware attempted to reconfirm the reasonability of the classical Williamson-Hall method and to estimate accurate values of the parameter and the micro-strain in the Williamson-Hall equation. The results obtained are as follows: 1) Elastic anisotropy in the Williamson-Hall plots is corrected using the parameter which relates to the values of diffraction Young's modulus. 2) The optimal values of parameter can be determined by the Direct Fitting method, which can be used to determine the timely orientation-dependent diffraction Young's modulus (E*hkl) in cold worked specimens. 3) It was confirmed that the classical Williamson-Hall method can generally give reliable values for the parameter and the micro-strain . 4) No large difference is found for the values of micro-strain from the three methods. 5) There is a clear linearity between the micro-strain and yield stress in cold rolled iron specimens.",
author = "Setsuo Takaki and Fulin Jiang and Takuro Masumura and Toshihiro Tsuchiyma",
year = "2018",
month = "1",
day = "1",
doi = "10.2355/isijinternational.ISIJINT-2017-642",
language = "English",
volume = "58",
pages = "769--775",
journal = "ISIJ International",
issn = "0915-1559",
publisher = "Iron and Steel Institute of Japan",
number = "4",

}

TY - JOUR

T1 - Correction of elastic anisotropy in williamson-hall plots by diffraction young's modulus and direct fitting method

AU - Takaki, Setsuo

AU - Jiang, Fulin

AU - Masumura, Takuro

AU - Tsuchiyma, Toshihiro

PY - 2018/1/1

Y1 - 2018/1/1

N2 - It is known that the micro-strain in cold worked iron can be evaluated by the classical Williamson-Hall method using the three data of diffraction peaks: (110), (211) and (220). It is not clarified that the obtained value gives the true micro-strain or not. In addition, the accuracy of analysis is not so high because the diffraction strength from (220) plane is generally very weak. In this paper, three methods, i.e. classical Williamson-Hall method, Diffraction Young's Modulus Correction method and Direct Fitting method, ware attempted to reconfirm the reasonability of the classical Williamson-Hall method and to estimate accurate values of the parameter and the micro-strain in the Williamson-Hall equation. The results obtained are as follows: 1) Elastic anisotropy in the Williamson-Hall plots is corrected using the parameter which relates to the values of diffraction Young's modulus. 2) The optimal values of parameter can be determined by the Direct Fitting method, which can be used to determine the timely orientation-dependent diffraction Young's modulus (E*hkl) in cold worked specimens. 3) It was confirmed that the classical Williamson-Hall method can generally give reliable values for the parameter and the micro-strain . 4) No large difference is found for the values of micro-strain from the three methods. 5) There is a clear linearity between the micro-strain and yield stress in cold rolled iron specimens.

AB - It is known that the micro-strain in cold worked iron can be evaluated by the classical Williamson-Hall method using the three data of diffraction peaks: (110), (211) and (220). It is not clarified that the obtained value gives the true micro-strain or not. In addition, the accuracy of analysis is not so high because the diffraction strength from (220) plane is generally very weak. In this paper, three methods, i.e. classical Williamson-Hall method, Diffraction Young's Modulus Correction method and Direct Fitting method, ware attempted to reconfirm the reasonability of the classical Williamson-Hall method and to estimate accurate values of the parameter and the micro-strain in the Williamson-Hall equation. The results obtained are as follows: 1) Elastic anisotropy in the Williamson-Hall plots is corrected using the parameter which relates to the values of diffraction Young's modulus. 2) The optimal values of parameter can be determined by the Direct Fitting method, which can be used to determine the timely orientation-dependent diffraction Young's modulus (E*hkl) in cold worked specimens. 3) It was confirmed that the classical Williamson-Hall method can generally give reliable values for the parameter and the micro-strain . 4) No large difference is found for the values of micro-strain from the three methods. 5) There is a clear linearity between the micro-strain and yield stress in cold rolled iron specimens.

UR - http://www.scopus.com/inward/record.url?scp=85045687456&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045687456&partnerID=8YFLogxK

U2 - 10.2355/isijinternational.ISIJINT-2017-642

DO - 10.2355/isijinternational.ISIJINT-2017-642

M3 - Review article

AN - SCOPUS:85045687456

VL - 58

SP - 769

EP - 775

JO - ISIJ International

JF - ISIJ International

SN - 0915-1559

IS - 4

ER -