Standard Practice for Calculating Thermal Endurance of Materials from Thermogravimetric Decomposition Data

SIGNIFICANCE AND USE
Thermogravimetry provides a rapid method for the determination of the temperature-decomposition profile of a material.
This practice is useful for quality control, specification acceptance, and research.
This practice shall not be used for product lifetime predications unless a correlation between test results and actual lifetime has been demonstrated. In many cases, multiple mechanisms occur during the decomposition of a material, with one mechanism dominating over one temperature range, and a different mechanism dominating in a different temperature range. Users of this practice are cautioned to demonstrate for their system that any temperature extrapolations are technically sound.
SCOPE
1.1 This practice covers additional treatment of the Arrhenius activation energy data determined by Test Method E1641 to develop a thermal endurance curve and derive a relative thermal index for materials.
1.2 This practice is generally applicable to materials with a well-defined decomposition profile, namely a smooth, continuous mass change with a single maximum rate.
1.3 The values stated in SI units are to be regarded as standard. No other units of measurement are included in this standard.
1.4 There is no ISO standard equivalent to this practice.
1.5 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 and health practices and determine the applicability of regulatory limitations prior to use.

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Historical
Publication Date
30-Jun-2010
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ASTM E1877-00(2010) - Standard Practice for Calculating Thermal Endurance of Materials from Thermogravimetric Decomposition Data
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.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:E1877–00(Reapproved2010)
Standard Practice for
Calculating Thermal Endurance of Materials from
Thermogravimetric Decomposition Data
This standard is issued under the fixed designation E1877; 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 3.1.3.1 Discussion—The RTI is also considered to be the
maximum temperature below which the material resists
1.1 This practice covers additional treatment of the Arrhe-
changes in its properties over a defined period of time. In the
nius activation energy data determined by Test Method E1641
absence of comparison data for a control material, a time-to-
to develop a thermal endurance curve and derive a relative
failure of 60 000 h has been arbitrarily selected for measuring
thermal index for materials.
RTI. The RTI is therefore, the failure temperature, T, obtained
1.2 This practice is generally applicable to materials with a f
from the thermal endurance curve.
well-defined decomposition profile, namely a smooth, continu-
ous mass change with a single maximum rate.
4. Summary of Practice
1.3 The values stated in SI units are to be regarded as
4.1 The Arrhenius activation energy obtained from Test
standard. No other units of measurement are included in this
Method E1641 is used to construct the thermal endurance
standard.
curve of a material from which an estimate of lifetime at
1.4 There is no ISO standard equivalent to this practice.
certain temperatures may be obtained.
1.5 This standard does not purport to address all of the
safety concerns, if any, associated with its use. It is the
5. Significance and Use
responsibility of the user of this standard to establish appro-
5.1 Thermogravimetry provides a rapid method for the
priate safety and health practices and determine the applica-
determination of the temperature-decomposition profile of a
bility of regulatory limitations prior to use.
material.
2. Referenced Documents 5.2 This practice is useful for quality control, specification
2 acceptance, and research.
2.1 ASTM Standards:
5.3 This practice shall not be used for product lifetime
E1641 Test Method for Decomposition Kinetics by Ther-
predicationsunlessacorrelationbetweentestresultsandactual
mogravimetry
lifetime has been demonstrated. In many cases, multiple
3. Terminology mechanisms occur during the decomposition of a material,
with one mechanism dominating over one temperature range,
3.1 Definitions of Terms Specific to This Standard:
and a different mechanism dominating in a different tempera-
3.1.1 failure, n—change in some chemical, physical, me-
ture range. Users of this practice are cautioned to demonstrate
chanical, electrical or other property of sufficient magnitude to
for their system that any temperature extrapolations are tech-
make it unsuitable for a particular use.
nically sound.
3.1.2 failure temperature (T ), n—the temperature at which
f
a material fails after a selected time.
6. Calculation
3.1.3 relative thermal index (RTI), n—a measure of the
6.1 The following values obtained by Test Method E1641
thermal endurance of a material when compared with that of a
are used to calculate thermal endurance, estimated thermal life
control with proven thermal endurance characteristics.
and failure temperature.
6.1.1 The following definitions apply to 6.1 and 6.3:
This practice is under the jurisdiction of Committee E37 on Thermal Measure-
6.1.1.1 E = Arrhenius activation energy (J/mol),
ments and is the direct responsibility of Subcommittee E37.10 on Fundamental,
6.1.1.2 R = Universal gas constant (= 8.314 510 J/(mol K)),
Statistical and Mechanical Properties.
6.1.1.3 b = Heating rate (K/min),
Current edition approved July 1, 2010. Published August 2010. Originally
approved in 1997. Last previous edition approved in 2005 as E1877 – 00 (2005).
6.1.1.4 b8 = Heating rate nearest the mid-point of the
DOI: 10.1520/E1877-00R10.
experimental heating rates (K/min),
For referenced ASTM standards, visit the ASTM website, www.astm.org, or
6.1.1.5 a = Approximation integral taken from Table 1,
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
6.1.1.6 a = Constant conversion value,
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.
E1877–00 (2010)
TABLE 1 Numerical Integration Constants
log t 5 E / ~2.303RT ! 1 log [E /~R b!# – a (1)
f f
E/RT a
T 5 E / ~2.303 R [log t – log E / ~R b! 1 a]! (2)
8 5.3699 $
f f
9 5.8980
6.2.1 To calculate t, select the value for the temperature at
10 6.4157 f
11 6.9276 the constant conversion point (T ) for a heating rate (b) nearest
c
12 7.4327
the mid-point of the experimental heating rates. Use this value,
13 7.9323
along with theArrhenius activation energy (E) to calculate the
14 8.4273
4, 5, 6
15 8.9182 quantity E/(RT ) to select the value inTable 1. Arbitrarily
c
16 9.4056
select a number of temperatures in the r
...

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