ASTM E132-17
(Test Method)Standard Test Method for Poisson’s Ratio at Room Temperature
Standard Test Method for Poisson’s Ratio at Room Temperature
SIGNIFICANCE AND USE
4.1 When uniaxial force is applied to a solid, it deforms in the direction of the applied force, but also expands or contracts laterally depending on whether the force is tensile or compressive. If the solid is homogeneous and isotropic, and the material remains elastic under the action of the applied force, the lateral strain bears a constant relationship to the axial strain. This constant, called Poisson’s ratio, is an intrinsic material property just like Young’s modulus and Shear modulus.
4.2 Poisson's ratio is used for design of structures where all dimensional changes resulting from application of force need to be taken into account, and in the application of the generalized theory of elasticity to structural analysis.
4.3 In this test method, the value of Poisson's ratio is obtained from strains resulting from uniaxial stress only.
4.4 Above the proportional limit, the ratio of transverse strain to axial strain will depend on the average stress and on the stress range for which it is measured and, hence, should not be regarded as Poisson’s ratio. If this ratio is reported, nevertheless, as a value of “Poisson’s ratio” for stresses below the proportional limit, the range of stress should be reported.
4.5 Deviations from isotropy should be suspected if the Poisson’s ratio, μ, determined by the method described below differs significantly from that determined when the ratio E/G of Young’s modulus, E, to shear modulus, G, is substituted in the following equation:
where E and G must be measured with greater precision than the precision desired in the measurement of μ.
4.6 The accuracy of the determination of Poisson's ratio is usually limited by the accuracy of the transverse strain measurements because the percentage errors in these measurements are usually greater than in the axial strain measurements. Since a ratio rather than an absolute quantity is measured, it is only necessary to know accurately the relative value of the calibration ...
SCOPE
1.1 This test method covers the determination of Poisson’s ratio from tension tests of structural materials at room temperature. This test method is limited to specimens of rectangular section and to materials in which and stresses at which creep is negligible compared to the strain produced immediately upon loading.
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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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.
Designation: E132 − 17
Standard Test Method for
1
Poisson’s Ratio at Room Temperature
This standard is issued under the fixed designation E132; 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.
This standard has been approved for use by agencies of the U.S. Department of Defense.
1. Scope E111 Test Method for Young’s Modulus, Tangent Modulus,
and Chord Modulus
1.1 This test method covers the determination of Poisson’s
E1012 Practice for Verification of Testing Frame and Speci-
ratio from tension tests of structural materials at room tem-
men Alignment Under Tensile and Compressive Axial
perature. This test method is limited to specimens of rectan-
Force Application
gular section and to materials in which and stresses at which
creep is negligible compared to the strain produced immedi-
3. Terminology
ately upon loading.
3.1 Definitions:Terms common to mechanical testing.
1.2 The values stated in inch-pound units are to be regarded
3.1.1 The definitions of mechanical testing terms that ap-
as standard. The values given in parentheses are mathematical
pear in Terminology E6 apply to this test method. These terms
conversions to SI units that are provided for information only
include extensometer and stress-strain diagram.
and are not considered standard.
3.1.2 In addition, the following common terms that appear
1.3 This standard does not purport to address all of the
in Terminology E6 apply to this test method.
safety concerns, if any, associated with its use. It is the
3.1.3 The terms accuracy, bias, and precision are used as
responsibility of the user of this standard to establish appro-
defined in E177.
priate safety, health, and environmental practices and deter-
3.1.4 axial strain, n—linear strain in a plane parallel to the
mine the applicability of regulatory limitations prior to use.
longitudinal axis of the specimen.
1.4 This international standard was developed in accor-
3.1.5 Poisson’s ratio, µ, n—the negative of the ratio of
dance with internationally recognized principles on standard-
transverse strain to the corresponding axial strain resulting
ization established in the Decision on Principles for the
from an axial stress below the proportional limit of the
Development of International Standards, Guides and Recom-
material.
mendations issued by the World Trade Organization Technical
3.1.5.1 Discussion—Poisson’s ratio may be negative for
Barriers to Trade (TBT) Committee.
some materials. For example, a tensile transverse strain will
2. Referenced Documents
result from a tensile axial strain.
2
3.1.5.2 Discussion—Poisson’s ratio will have more than one
2.1 ASTM Standards:
value if the material is not isotropic.
E4 Practices for Force Verification of Testing Machines
-2
E6 Terminology Relating to Methods of Mechanical Testing
3.1.6 proportional limit, [FL ], n—thegreateststressthata
E177 Practice for Use of the Terms Precision and Bias in
material is capable of sustaining without any deviation from
ASTM Test Methods
proportionality of stress to strain (Hooke’s Law).
E8 Test Methods for Tension Testing of Metallic Materials
3.1.6.1 Discussion—Many experiments have shown that
E83 Practice for Verification and Classification of Exten-
values observed for the proportional limit vary greatly with the
someter Systems
sensitivity and accuracy of the testing equipment, eccentricity
of loading, the scale to which the stress-strain diagram is
plotted, and other factors. When determination of the propor-
1
This test method is under the jurisdiction of ASTM Committee E28 on
tional limit is required, the procedure and the sensitivity of the
Mechanical Testing and is the direct responsibility of Subcommittee E28.04 on
test equipment should be specified.
Uniaxial Testing.
Current edition approved July 15, 2017. Published September 2017. Originally
3.1.7 transverse strain, ε,n—linear strain in a plane per-
t
approvedin1958.Lastpreviouseditionapprovedin2010asE132 – 04(2010).DOI:
pendicular to the axis of the specimen.
10.1520/E0132-17.
2
For referenced ASTM standards, visit the ASTM website, www.astm.org, or 3.1.7.1 Discussion—Transversestrainmaydifferwithdirec-
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
tion in anisotropic materials.
Standards volume information, refer to the standard’s Document Summary page on
the ASTM website. 3.2 Definitions of Terms Specific to This Standard:
Copyright © ASTM International, 100 Barr Harbor Drive,
...
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: E132 − 04 (Reapproved 2010) E132 − 17
Standard Test Method for
1
Poisson’s Ratio at Room Temperature
This standard is issued under the fixed designation E132; 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.
This standard has been approved for use by agencies of the U.S. Department of Defense.
1. Scope
1.1 This test method covers the determination of Poisson’s ratio from tension tests of structural materials at room temperature.
This test method is limited to specimens of rectangular section and to materials in which and stresses at which creep is negligible
compared to the strain produced immediately upon loading.
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:
E4 Practices for Force Verification of Testing Machines
E6 Terminology Relating to Methods of Mechanical Testing
E177 Practice for Use of the Terms Precision and Bias in ASTM Test Methods
E8 Test Methods for Tension Testing of Metallic Materials
E83 Practice for Verification and Classification of Extensometer Systems
E111 Test Method for Young’s Modulus, Tangent Modulus, and Chord Modulus
E1012 Practice for Verification of Testing Frame and Specimen Alignment Under Tensile and Compressive Axial Force
Application
3. Terminology
3.1 Definitions:Terms common to mechanical testing.
3.1.1 The definitions of mechanical testing terms that appear in Terminology E6 apply to this test method. These terms include
extensometer and stress-strain diagram.
3.1.2 In addition, the following common terms that appear in Terminology E6 apply to this test method.
3.1.3 The terms accuracy, bias, and precision are used as defined in E177.
3.1.4 axial strain, n—linear strain in a plane parallel to the longitudinal axis of the specimen.
3.1.5 Poisson’s ratio—ratio, μ, n—the negative of the ratio of transverse strain to the corresponding axial strain resulting from
an axial stress below the proportional limit of the material.
1
This test method is under the jurisdiction of ASTM Committee E28 on Mechanical Testing and is the direct responsibility of Subcommittee E28.04 on Uniaxial Testing.
Current edition approved Sept. 1, 2010July 15, 2017. Published November 2010September 2017. Originally approved in 1958. Last previous edition approved in 20042010
as E132 – 04.E132 – 04(2010). DOI: 10.1520/E0132-04R10.10.1520/E0132-17.
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.
3.1.5.1 Discussion—
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
1
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E132 − 17
Poisson’s ratio may be negative for some materials. For example, a tensile transverse strain will result from a tensile axial strain.
3.1.5.2 Discussion—
Poisson’s ratio will have more than one value if the material is not isotropic.
-2
3.1.6 Discussion—proportional limit, [FL ], n—Above the proportional limit, the ratio of transverse strain to axial strain will
depend on the average stress and on the stress range for which it is measured and, hence, should not be regarded as Poisson’s ratio.
If this ratio is reported, nevertheless, as a value of “Poisson’s ratio” for stresses beyond the proportional limit, the range of stress
should be stated.the greatest stress that a material is capable
...
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