Standard Test Method for Plastic Strain Ratio <emph type="bdit">r</emph> for Sheet Metal

SIGNIFICANCE AND USE
4.1 The plastic strain ratio  r  is a parameter that indicates the ability of a sheet metal to resist thinning or thickening when subjected to either tensile or compressive forces in the plane of the sheet. It is a measure of plastic anisotropy and is related to the preferred crystallographic orientations within a polycrystalline metal. This resistance to thinning or thickening contributes to the forming of shapes, such as cylindrical flat-bottom cups, by the deep-drawing process. The value of  r , therefore, is considered a measure of sheet-metal drawability. It is particularly useful for evaluating materials intended for parts where a substantial portion of the blank is drawn from beneath the blank holder into the die opening.  
4.2 For many materials the plastic strain ratio remains essentially constant over a range of plastic strains up to maximum applied force in a tension test. For materials that give different values of  r  at various strain levels, a superscript is used to designate the percent strain at which the value of r  was measured. For example, if a 20 % elongation is used, the report would show  r20.  
4.3 Materials usually have different values of  r  when tested in different orientations relative to the rolling direction. The angle of sampling of the individual test specimen is noted by a subscript. Thus, for a test specimen whose length is aligned parallel to the rolling direction, plastic strain ratio, r , is reported as r0. If, in addition, the measurement was made at 20 % elongation and it was deemed necessary to note the percent strain at which the value was measured, the value would be reported as r020.  
4.4 A material that has an upper yield strength (yield point) point followed by discontinuous yielding stretches unevenly while this yielding is taking place. In steels, this is associated with the propagation of Lüders' bands on the surface. The accuracy and reproducibility of the determination of plastic strain ratio,  r , will be redu...
SCOPE
1.1 This test method covers special tension testing for the measurement of the plastic strain ratio, r, of sheet metal intended for deep-drawing applications.  
1.2 The values stated in inch-pound units are to be regarded as standard. The values given in parentheses are mathematical conversions to SI units that are provided for information only and are not considered standard.  
1.3 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility of the user of this standard to establish appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use.  
1.4 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.

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Standards Content (Sample)

NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation: E517 − 18
Standard Test Method for
1
Plastic Strain Ratio r for Sheet Metal
This standard is issued under the fixed designation E517; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision.Anumber in parentheses indicates the year of last reapproval.A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope 3. Terminology
1.1 This test method covers special tension testing for the
3.1 Definitions of Terms Common to Mechanical Testing:
measurement of the plastic strain ratio, r, of sheet metal
3.1.1 The definitions relating to tension testing appearing in
intended for deep-drawing applications.
Terminology E6 shall apply to this test method. Some of those
important terms include discontinuous yielding, yield-point
1.2 The values stated in inch-pound units are to be regarded
elongation, and upper yield strength.
as standard. The values given in parentheses are mathematical
conversions to SI units that are provided for information only
3.2 Definitions of Terms Specific to This Standard:
and are not considered standard.
3.2.1 earing tendency delta, r or ∆r, n—measure of the
1.3 This standard does not purport to address all of the tendency of sheet to draw in nonuniformly and to form ears in
safety concerns, if any, associated with its use. It is the
the flange of deep-drawn cylindrical parts in the directions of
responsibility of the user of this standard to establish appro- higher values of r (see 10.4).
priate safety, health, and environmental practices and deter-
3.2.1.1 Discussion—In cold-reduced and annealed low-
mine the applicability of regulatory limitations prior to use.
carbonsteelsheet, r and r areusuallygreaterthan r ,while
0 90 45
1.4 This international standard was developed in accor-
in hot-rolled steels r can be greater. Other earing tendencies
45
dance with internationally recognized principles on standard-
occur; thus, for some materials the earing tendency can be
ization established in the Decision on Principles for the
better represented by r − r .
max min
Development of International Standards, Guides and Recom-
3.2.2 plastic strain ratio, r, n—in sheet metal that has been
mendations issued by the World Trade Organization Technical
strained by uniaxial tension sufficiently to induce plastic flow,
Barriers to Trade (TBT) Committee.
theratioofthetruestrainthathasoccurredinawidthdirection
w perpendicular to the direction of applied stress and in the
2. Referenced Documents
plane of the sheet, to the concomitant true strain in the
2
2.1 ASTM Standards:
thickness direction t.
E6Terminology Relating to Methods of Mechanical Testing
3.2.2.1 Discussion—The plastic strain ratio, r, is numeri-
E8/E8MTest Methods for Tension Testing of Metallic Ma-
cally equal to
terials
r 5 ε /ε (1)
E83Practice for Verification and Classification of Exten-
w t
someter Systems
where:
E92Test Methods for Vickers Hardness and Knoop Hard-
ε = width strain, and
w
ness of Metallic Materials
ε = thickness strain.
t
E177Practice for Use of the Terms Precision and Bias in
ASTM Test Methods
3.2.2.2 Discussion—Due to difficulty in measuring thick-
E691Practice for Conducting an Interlaboratory Study to
nesschangeswithsufficientprecision,inpracticeanequivalent
Determine the Precision of a Test Method
relationship is commonly used, based on length and width
strain measurements (see 9.1.2).
3.2.3 r —weightedaverageofvaluesof robtainedinthree
m
1
This test method is under the jurisdiction of ASTM Committee E28 on
directions: 0° (parallel), 45° (diagonal), and 90° (transverse) to
Mechanical Testing and is the direct responsibility of Subcommittee E28.02 on
the rolling direction (see 10.3).
Ductility and Formability.
Current edition approved Jan. 1, 2018. Published March 2018. Originally
ε1
3.2.3.1 Discussion—Somematerialsmayshowsignificantly
approved in 1981. Last previous edition approved in 2010 as E517–00(2010) .
DOI: 10.1520/E0517-18.
different values of plastic strain ratio, r, for other test
2
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
directions, in which case an average value may include these
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
when special note is made and another subscript is used to
Standards volume information, refer to the standard’s Document Summary page on
the ASTM website. avoid confusion with r as defined in 3.2.3. Symbols that are
m
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
1

---------------------- Page: 1 ----------------------
E517 − 18
often used interchangeably with r are r¯ and r-Bar. knife edges. This problem is intensified if the knife edges are
m
sharp and attached to th
...

This document is not an ASTM standard and is intended only to provide the user of an ASTM standard an indication of what changes have been made to the previous version. Because
it may not be technically possible to adequately depict all changes accurately, ASTM recommends that users consult prior editions as appropriate. In all cases only the current version
of the standard as published by ASTM is to be considered the official document.
Designation: E517 − 00 (Reapproved 2010) E517 − 18
Standard Test Method for
1
Plastic Strain Ratio r for Sheet Metal
This standard is issued under the fixed designation E517; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
1. Scope
1.1 This test method covers special tension testing for the measurement of the plastic strain ratio, r, of sheet metal intended for
deep-drawing applications. 0.05.
1.2 The values stated in inch-pound units are to be regarded as standard. The values given in parentheses are mathematical
conversions to SI units that are provided for information only and are not considered standard.
1.3 This standard does not purport to address all of the safety concerns, if any, associated with its use. It is the responsibility
of the user of this standard to establish appropriate safety safety, health, and healthenvironmental practices and determine the
applicability of regulatory limitations prior to use.
1.4 This international standard was developed in accordance with internationally recognized principles on standardization
established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued
by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
2. Referenced Documents
2
2.1 ASTM Standards:
E6 Terminology Relating to Methods of Mechanical Testing
E8E8/E8M Test Methods for Tension Testing of Metallic Materials
E83 Practice for Verification and Classification of Extensometer Systems
E92 Test Methods for Vickers Hardness and Knoop Hardness of Metallic Materials
E177 Practice for Use of the Terms Precision and Bias in ASTM Test Methods
E691 Practice for Conducting an Interlaboratory Study to Determine the Precision of a Test Method
3. Terminology
3.1 Definitions of Terms Specific to This Standard:
3.1.1 delta r (Δ r)—measure of the tendency of sheet to draw in nonuniformly and to form ears in the flange of deep-drawn
cylindrical parts in the directions of higher r value (see 10.4).
3.1.1.1 Discussion—In cold-reduced and annealed low-carbon steel sheet, r and r are usually greater than r , while in
0 90 45
hot-rolled steels r may be greater. Other earing tendencies occur; thus, for some materials the earing tendency may be better
45
represented by r − r .
max min
3.1.2 plastic-strain ratio r (in sheet metal that has been strained by uniaxial tension sufficiently to induce plastic flow) is the
ratio of the true strain that has occurred in a width direction w perpendicular to the direction of applied stress and in the plane of
the sheet, to the concomitant true strain in the thickness direction t. Thus, r is numerically equal to
r 5 ε /ε (1)
w t
where:
ε = width strain, and
w
ε = thickness strain.
t
1
This test method is under the jurisdiction of ASTM Committee E28 on Mechanical Testing and is the direct responsibility of Subcommittee E28.02 on Ductility and
Formability.
Current edition approved Nov. 1, 2010Jan. 1, 2018. Published January 2011March 2018. Originally approved in 1981. Last previous edition approved in 20062010 as
ε1
E517 – 00(2006)(2010) . DOI: 10.1520/E0517-00R10.10.1520/E0517-18.
2
For referenced ASTM standards, visit the ASTM website, www.astm.org, or contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM Standards
volume information, refer to the standard’s Document Summary page on the ASTM website.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
1

---------------------- Page: 1 ----------------------
E517 − 18
3.1.2.1 Discussion—Due to difficulty in measuring thickness changes with sufficient precision, in practice an equivalent
relationship is commonly used, based on length and width strain measurements (see 9.1.2).
3.1.3 r —weighted average of r values obtained in three directions: 0° (parallel), 45° (diagonal), and 90° (transverse) to the
m
rolling direction (see 10.3).
3.1.3.1 Discussion—Some materials may show significantly different values of r for other test directions, in which case an
average value may include these when special note is made and another subscript is used to avoid confusion with r as defined
m
in 3.1.3. Symbols which are often used interchangeably with r are r¯ and r-Bar.
m
3.1.4 yield point elongation (for a materia
...

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