SIST EN 15157:2007
(Main)Advanced technical ceramics - Mechanical properties of ceramic composites at high temperature in air at atmospheric pressure - Determination of fatigue properties at constant amplitude
Advanced technical ceramics - Mechanical properties of ceramic composites at high temperature in air at atmospheric pressure - Determination of fatigue properties at constant amplitude
This European Standard specifies the conditions for the determination of constant-amplitude of load or strain in uniaxial tension/tension or in uniaxial tension/compression cyclic fatigue properties of ceramic matrix composite materials (CMCs) with fibre reinforcement for temperature up to 1 700 °C in air at atmospheric pressure.
This European Standard applies to all ceramic matrix composites with fibre reinforcement, unidirectional (1D), bi-directional (2D), and tri-directional (xD, where 2 < x ? 3).
The purpose of this European Standard is to determine the behaviour of CMC when subjected to mechanical fatigue and oxidation simultaneously. Tests for the determination of fatigue properties at high temperature in inert atmospheres differ from those in oxidative atmospheres. Contrary to an inert atmosphere, damage in an oxidative atmosphere accumulates due to the influence of purely mechanical fatigue and to chemical effects of the material’s oxidation.
Hochleistungskeramik - Mechanische Eigenschaften von keramischen Verbundwerkstoffen bei hoher Temperatur in Luft bei Atmosphärendruck - Bestimmung der Dauerschwingeigenschaften bei Belastung mit konstanter Amplitude
Diese Europäische Norm legt für faserverstärkte Verbundwerkstoffe mit keramischer Matrix (CMC) die
Bedingungen zur Bestimmung der Dauerschwingeigenschaften bei einer Temperatur bis zu 1 700 °C in Luft
bei Atmosphärendruck fest, wenn eine einachsige Beanspruchung innerhalb des Zugschwell- (Zug/Zug) oder
des Wechselbereichs (Zug/Druck) so aufgebracht wird, dass eine Last oder Dehnung mit konstanter
Amplitude erreicht wird.
Diese Norm ist auf alle faserverstärkten Verbundwerkstoffe mit keramischer Matrix mit unidirektionaler (1D),
bidirektionaler (2D) und mehrdirektionaler (xD, mit 2 < x <-3) Verstärkung anwendbar.
Der Zweck dieser Norm besteht darin, das Verhalten der CMC zu bestimmen, wenn sie gleichzeitig einer
mechanischen Dauerschwingbeanspruchung und einer Oxidation ausgesetzt werden. Im Gegensatz zu den
Prüfungen zur Bestimmung der Dauerschwingeigenschaften bei hoher Temperatur in inerter Atmosphäre
treten bei den Prüfungen, die bei hoher Temperatur und in oxidierender Umgebung durchgeführt werden,
Werkstoffschädigungen verstärkt dadurch auf, dass neben der rein mechanischen Ermüdung auch chemische
Einflüsse durch die Oxidation des Werkstoffs wirksam werden.
Céramiques techniques avancées - Propriétés mécaniques des céramiques composites a haute température sous air a pression atmosphérique - Détermination des propriétés de fatigue a amplitude constante
La présente Norme européenne spécifie les conditions de détermination des propriétés de fatigue cyclique a amplitude constante de contrainte ou de déformation en traction uniaxiale/traction ou en traction uniaxiale/compression des matériaux composites a matrice céramique (CMC) avec renfort des fibres pour une température jusqu'a 1 700 °C dans l'air a la pression atmosphérique.
La présente Norme européenne s'applique a tous les composites a matrice céramique avec renfort des fibres, unidirectionnel (1D), bidirectionnel (2D) ou tridirectionnel (xD, ou 2 < or = x < or = 3).
La présente Norme européenne a pour objet de déterminer le comportement des composites a matrice céramique lorsqu'ils sont soumis a la fatigue mécanique et a l'oxydation simultanément. Les essais de détermination des propriétés de fatigue a haute température dans des atmospheres inertes sont différents de ceux effectués dans des atmospheres oxydantes. Contrairement a une atmosphere inerte, l’endommagement dans une atmosphere oxydante s'accumule du fait de l'influence d'une fatigue purement mécanique et des effets chimiques de l'oxydation des matériaux.
Sodobna tehnična keramika - Mehanske lastnosti keramičnih kompozitov pri visoki temperaturi v zraku v pogojih atmosferskega tlaka - Določanje lastnosti utrujanja pri konstantni amplitudi
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2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.Advanced technical ceramics - Mechanical properties of ceramic composites at high temperature in air at atmospheric pressure - Determination of fatigue properties at constant amplitudeCéramiques techniques avancées - Propriétés mécaniques des céramiques composites a haute température sous air a pression atmosphérique - Détermination des propriétés de fatigue a amplitude constanteHochleistungskeramik - Mechanische Eigenschaften von keramischen Verbundwerkstoffen bei hoher Temperatur in Luft bei Atmosphärendruck - Bestimmung der Dauerschwingeigenschaften bei Belastung mit konstanter AmplitudeTa slovenski standard je istoveten z:EN 15157:2006SIST EN 15157:2007en,fr,de81.060.30Sodobna keramikaAdvanced ceramicsICS:SLOVENSKI
STANDARDSIST EN 15157:200701-januar-2007
EUROPEAN STANDARDNORME EUROPÉENNEEUROPÄISCHE NORMEN 15157August 2006ICS 81.060.30 English VersionAdvanced technical ceramics - Mechanical properties of ceramiccomposites at high temperature in air at atmospheric pressure -Determination of fatigue properties at constant amplitudeCéramiques techniques avancées - Propriétés mécaniquesdes céramiques composites à haute température dans l'airà pression atmosphérique - Détermination des propriétésde fatigue à amplitude constanteHochleistungskeramik - Mechanische Eigenschaften vonkeramischen Verbundwerkstoffen bei hoher Temperatur inLuft bei Atmosphärendruck - Bestimmung derDauerschwingeigenschaften bei Belastung mit konstanterAmplitudeThis European Standard was approved by CEN on 14 July 2006.CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this EuropeanStandard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such nationalstandards may be obtained on application to the Central Secretariat or to any CEN member.This European Standard exists in three official versions (English, French, German). A version in any other language made by translationunder the responsibility of a CEN member into its own language and notified to the Central Secretariat has the same status as the officialversions.CEN members are the national standards bodies of Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France,Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania,Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.EUROPEAN COMMITTEE FOR STANDARDIZATIONCOMITÉ EUROPÉEN DE NORMALISATIONEUROPÄISCHES KOMITEE FÜR NORMUNGManagement Centre: rue de Stassart, 36
B-1050 Brussels© 2006 CENAll rights of exploitation in any form and by any means reservedworldwide for CEN national Members.Ref. No. EN 15157:2006: E
EN 15157:2006 (E) 2 Contents Page Foreword.3 1 Scope.4 2 Normative references.4 3 Terms, definitions and symbols.5 4 Principle.8 5 Significance and use.8 6 Apparatus.9 6.1 Fatigue test machine.9 6.2 Load train.9 6.3 Set-up for heating.10 6.4 Extensometer.10 6.5 Temperature measurement.10 6.6 Data recording system.10 6.7 Micrometers.10 7 Test specimens.11 8 Test specimen preparation.12 8.1 Machining and preparation.12 8.2 Number of test specimens.12 9 Test procedure.12 9.1 Test set-up: temperature considerations.12 9.2 Measurement of test specimen dimensions.13 9.3 Testing technique.13 9.4 Test validity.14 10 Calculation of results.14 10.1 Time to failure, tf.14 10.2 Damage parameters.15 10.3 Residual properties.15 11 Test report.17 Annex A (informative)
Schematic evolution of E.18
EN 15157:2006 (E) 3 Foreword This document (EN 15157:2006) has been prepared by Technical Committee CEN/TC 184 “Advanced technical ceramics”, the secretariat of which is held by BSI. This European Standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by February 2007, and conflicting national standards shall be withdrawn at the latest by February 2007. According to the CEN/CENELEC Internal Regulations, the national standards organizations of the following countries are bound to implement this European Standard: Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.
EN 15157:2006 (E) 4 1 Scope This European Standard specifies the conditions for the determination of constant-amplitude of load or strain in uniaxial tension/tension or in uniaxial tension/compression cyclic fatigue properties of ceramic matrix composite materials (CMCs) with fibre reinforcement for temperature up to 1 700 °C in air at atmospheric pressure. This European Standard applies to all ceramic matrix composites with fibre reinforcement, unidirectional (1D), bi-directional (2D), and tri-directional (xD, where 2 < x ≤ 3). The purpose of this European Standard is to determine the behaviour of CMC when subjected to mechanical fatigue and oxidation simultaneously. Tests for the determination of fatigue properties at high temperature in inert atmospheres differ from those in oxidative atmospheres. Contrary to an inert atmosphere, damage in an oxidative atmosphere accumulates due to the influence of purely mechanical fatigue and to chemical effects of the material’s oxidation. 2 Normative references The following referenced documents are indispensable for the application of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies. EN 658-1, Advanced technical ceramics — Mechanical properties of ceramic composites at room temperature — Part 1: Determination of tensile properties EN 1892, Advanced technical ceramics — Mechanical properties of ceramic composites at high temperature under inert atmosphere — Determination of tensile properties EN 1893, Advanced technical ceramics — Mechanical properties of ceramic composites at high temperature in air at atmospheric pressure — Determination of tensile properties EN 12291, Advanced technical ceramics — Mechanical properties of ceramic composites at high temperature in air at atmospheric pressure — Determination of compression properties prCEN/TR 13233:20071, Advanced technical ceramics — Notations and symbols EN 60584-1, Thermocouples — Part 1: Reference tables (IEC 60584-1:1995) EN 60584-2, Thermocouples — Part 2: Tolerances (IEC 60584-2:1982) EN ISO 7500-1, Metallic materials — Verification of static uniaxial testing machines — Part 1: Tension/compression testing machines — Verification and calibration of the force-measuring system (ISO 7500-1:2004) EN ISO 9513, Metallic materials — Calibration of extensometers used in uniaxial testing (ISO 9513:1999) ISO 3611, Micrometer callipers for external measurement
1 To be published in 2007
EN 15157:2006 (E) 5 3 Terms, definitions and symbols For the purposes of this document, the terms and definitions given in prCEN/TR 13233:2007 and the following apply. 3.1 test temperature, T temperature of the test specimen at the centre of the gauge length 3.2 calibrated length, l part of the test specimen which has uniform and minimum cross-section area 3.3 gauge length, Lo initial distance between reference points on the test specimen in the calibrated length 3.4 controlled temperature zone part of the calibrated length including the gauge length where the temperature is within 50 °C of the test temperature 3.5 initial cross-section area, So initial cross-section area of the test specimen within the calibrated length, at the test temperature NOTE Two initial cross-section areas of the test specimen can be defined: - apparent cross-section area: this is the total area of the cross-section So app; - effective cross-section area: this is the total area corrected by a factor, to account for the presence of a coating, So eff. 3.6 longitudinal deformation, A change in the gauge length between reference points under an uniaxial force 3.7 strain, εεεε relative change in the gauge length defined as the ratio A/Lo 3.8 stress, σσσσ force supported by the test specimen at any time in the test, divided by the initial cross-section area NOTE Two stresses can be distinguished: - apparent stress, σapp, when the apparent cross-section area (or total cross-section area) is used; - effective stress, σeff, when the effective cross-section area is used. Stress can be either in tension or in compression. 3.9 constant amplitude loading in cyclic fatigue loading, constant wave form loading in which the peak loads and the valley loads are kept constant during the test (see Figure 1 for nomenclature relevant to cyclic fatigue testing)
EN 15157:2006 (E) 6
Key 1 time 6 mean 2 control parameter (test mode) 7 peak (maximum) 3 triangular form 8 valley (minimum) 4 trapezoidal form 9 amplitude 5 sinusoidal form 10 range Figure 1 — Cyclic fatigue nomenclature and wave forms 3.10 Cyclic fatigue phenomena 3.10.1 load ratio, R in cyclic fatigue loading, algebraic ratio of the two loading parameters of a cycle NOTE The most widely used ratios are: R = (minimum load/maximum load) or R = (valley load/peak load). 3.10.2 stress cyclic fatigue 3.10.2.1 maximum stress, σσσσmax maximum applied stress during cyclic fatigue 3.10.2.2 minimum stress, σσσσmin minimum applied stress during cyclic fatigue
EN 15157:2006 (E) 7 3.10.2.3 mean stress, σσσσm average applied stress during cyclic fatigue such that: σm = (σmax + σmin)/2 3.10.2.4 stress amplitude, σσσσa difference between the maximum stress and the minimum stress, such that: σa = (σmax - σmin)/2 = σmax - σm = σm - σmin 3.10.3 Strain cyclic fatigue 3.10.3.1 maximum strain, εεεεmax maximum applied strain during cyclic fatigue 3.10.3.2 minimum strain, εεεεmin minimum applied strain during cyclic fatigue 3.10.3.3 mean strain, εεεεm average applied strain during cyclic fatigue such that: εm = (εmax + εmin)/2 3.10.3.4 strain amplitude, εεεεa difference between the maximum stress and the minimum stress, such that: εa = (εmax - εmin)/2 = εmax - εm = εm - εmin 3.10.4 Fatigue parameters 3.10.4.1 number of cycles, N total number of loading cycles which is applied to the test specimen during the test 3.10.4.2 cyclic fatigue life, Nf total number of loading cycles which is applied to the test specimen up to failure 3.10.4.3 time to failure, tf time duration required to obtain the number of cycles Nf 3.10.5 Stress-strain curve parameters Stress-strain curve parameters are defined as given in Figure 2.
EN 15157:2006 (E) 8 4 Principle A test specimen of specified dimensions is heated to the testing temperature and tested in cyclic fatigue as follows: method A: the test specimen is cycled between two constant stress levels at a specified frequency; method B: the test specimen is cycled between two constant strain levels at a specified frequency. The total number of cycles is recorded. If strain is not determined, only the life-time duration or the residual mechanical properties can be determined. If strain is determined, a number of stress-strain cycles are recorded at specified intervals to determine damage parameters, in addition to the life-time duration and residual
...
EUROPEAN STANDARD
DRAFT
prEN 15157
NORME EUROPÉENNE
EUROPÄISCHE NORM
February 2005
ICS
English version
Advanced technical ceramics - Ceramic composites. Mechanical
properties at high temperature in air at atmospheric pressure -
Determination of fatigue properties at constant amplitude
Céramiques techniques avancées - Composites
céramiques. Propriétés mécaniques à haute température
dans l'air à pression atmosphérique - Détermination des
propriétés de fatigue à amplitude constante
This draft European Standard is submitted to CEN members for enquiry. It has been drawn up by the Technical Committee CEN/TC 184.
If this draft becomes a European Standard, CEN members are bound to comply with the CEN/CENELEC Internal Regulations which
stipulate the conditions for giving this European Standard the status of a national standard without any alteration.
This draft European Standard was established by CEN in three official versions (English, French, German). A version in any other language
made by translation under the responsibility of a CEN member into its own language and notified to the Management Centre has the same
status as the official versions.
CEN members are the national standards bodies of Austria, Belgium, Cyprus, Czech Republic, Denmark, Estonia, Finland, France,
Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Slovakia,
Slovenia, Spain, Sweden, Switzerland and United Kingdom.
Warning : This document is not a European Standard. It is distributed for review and comments. It is subject to change without notice and
shall not be referred to as a European Standard.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
Management Centre: rue de Stassart, 36 B-1050 Brussels
© 2005 CEN All rights of exploitation in any form and by any means reserved Ref. No. prEN 15157:2005: E
worldwide for CEN national Members.
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prEN 15157:2005 (E)
Contents Page
Foreword.3
1 Scope .4
2 Normative references .4
3 Principle.5
4 Significance and use .5
5 Definitions and symbols .6
6 Apparatus .10
7 Test specimens.11
8 Test specimens preparation.12
9 Test procedure.12
10 Calculation of results .15
11 Test report .17
Annex A (informative) Schematic evolution of E .19
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prEN 15157:2005 (E)
Foreword
This document (prEN 15157:2005) has been prepared by Technical Committee CEN/TC 184 “Advanced
technical ceramics”, the secretariat of which is held by BSI.
This document is currently submitted to the CEN Enquiry.
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prEN 15157:2005 (E)
1 Scope
This European pre-standard specifies the conditions for the determination of constant-amplitude of load or
strain in uniaxial tension/tension or in uniaxial tension/compression cyclic fatigue properties of ceramic matrix
composite materials (CMC) with fibre reinforcement for temperature up to 1 700 °C in air at atmospheric
pressure.
This standard applies to all ceramic matrix composites with a fibre reinforcement, unidirectional (1D),
bi-directional (2D), and tri-directional (xD, with 2 < x ≤ 3).
The purpose of this pre-standard is to determine the behaviour of CMC when subjected to mechanical fatigue
and oxidation simultaneously. Contrary to the tests for the determination of fatigue properties at high
temperature in inert atmosphere, in the tests conducted at high temperature and in oxidative atmosphere,
there is an accumulation of damage due to the influence of purely mechanical fatigue and due to the chemical
effects of the material’s oxidation.
2 Normative references
The following referenced documents are indispensable for the application of this document. For dated
references, only the edition cited applies. For undated references, the latest edition of the referenced
document (including any amendments) applies.
EN 13233,1998, Advanced Technical Ceramics – Ceramic composites – Notations and symbols.
ENV 1892, Advanced technical ceramics - Mechanical properties of ceramic composites at high temperature
under inert atmosphere - Determination of tensile properties.
ENV 1893, Advanced technical ceramics - Mechanical properties of ceramic composites at high temperature
in air at atmospheric pressure - Determination of tensile properties.
EN 658-1, Advanced technical ceramics - Mechanical properties of ceramic composites at room temperature -
Determination of tensile strength.
EN 60584-2, Thermocouples - Part 2: Tolerances.
EN ISO 7500-1, Metallic materials - Verification of static uniaxial testing machines –
Part 1: Tension/compression testing machines - Verification and calibration of the force- measuring system.
EN 12291, Advanced technical ceramics - Mechanical properties of ceramic composites at high temperature
in air at atmospheric pressure - Determination of compressive properties.
EN 10002-4, Metallic materials - Tensile test - Part 4: Verification of extensometers used in uniaxial testing.
HD 446.1S1, Thermocouples - Part 1: Reference tables.
WI 136, A guide for the determination of the degree of misalignment in uniaxial mechanical tests.
ISO 3611, Micrometer callipers for external measurement.
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prEN 15157:2005 (E)
3 Principle
A test specimen of specified dimensions is heated to the testing temperature and tested in cyclic fatigue as
follows:
Method A: The test specimen is cycled between two constant stress levels at a specified frequency;
Method B: The test specimen is cycled between two constant strain levels at a specified frequency.
The total number of cycles is recorded. If strain is not determined, only the life time duration or the residual
mechanical properties can be determined. If strain is determined, a number of stress-strain cycles are
recorded at specified intervals to determine damage parameters, in addition to the life time duration and
residual mechanical properties.
NOTE Residual properties can be determined on the test specimens which have not failed during the test, using the
methods described in the appropriate European Standards.
4 Significance and use
This test method allows to characterise the cyclic fatigue behaviour at constant amplitude of CMC’s subjected
to long duration loading. The simplest way to determine the fatigue properties of a material is to establish
life-time diagrams. In these diagrams, the time to failure (or the cyclic fatigue life) is plotted versus stress (or
strain) amplitude.
The complete life-time diagram requires a great number of test specimens, which is expensive and time
consuming. Hence, it can be sufficient to know the cyclic-fatigue under specified stress (or strain) conditions,
or to measure the fatigue limit. In any case, the typical fatigue test is defined by cyclic loading, constant
amplitude, environment, temperature and frequency.
To better characterise the mechanical behaviour during a fatigue test, it is possible to determine several
mechanical parameters from stress-strain curves. These parameters can then be plotted versus time or
versus number of cycles. This displays the damage evolution during the cyclic loading. The following
parameters can be considered (see Figure 1):
the residual strain at zero load;
the secant elastic modulus, or the relative damage parameters;
the area of the stress-strain hysterisis loop, or the internal friction;
the maximum strain, the minimum strain, or the difference between them for a selected cycle;
some specific tangent elastic moduli, for example at the top or at the bottom of the stress-strain loop.
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prEN 15157:2005 (E)
Key
1 Strain (ε)
2 Stress (σ)
3 Width (L)
4 Height (H)
Figure 1 — Parameters that can be considered to assess the cyclic fatigue behaviour
5 Definitions and symbols
For the purposes of this European Standard, the following terms and definitions given in EN 13233 and the
following definitions and symbols apply.
5.1
test temperature, T
temperature of the test specimen at the centre of the gauge length
5.2
calibrated length, l
the part of the test specimen which has uniform and minimum cross section area
5.3
gauge length, L
o
initial distance between reference points on the test specimen in the calibrated length. The temperature
variation in the gauge length shall be within 30 °C at test temperature
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prEN 15157:2005 (E)
5.4
controlled temperature zone
the part of the calibrated length including the gauge length where temperature is within 50 °C of the test
temperature
5.5
initial cross section area, S
o
initial cross section area of the test specimen within the calibrated length, at test temperature
Two initial cross section areas of the test specimen can be defined:
apparent cross section area: this is the total area of the cross section S
;
o app
effective cross section area: this is the total area corrected by a factor, to account for the presence of a
coating, S
.
o eff
5.6
longitudinal deformation, A
change in the gauge length between reference points under a uniaxial force
5.7
strain, εεεε
relative change in the gauge length defined as the ratio A/L
o
5.8
stress, σσσσ
the force supported by the test specimen at any time in the test, divided by the initial cross section area
Two stresses can be distinguished:
apparent stress, σ , when the apparent cross section area (or total cross section area) is used;
app
effective stress, σ , when the effective cross section area is used.
eff
Stress can be either in tension or in compression.
5.9
constant amplitude loading
in cyclic fatigue loading, a constant wave form loading in which the peak loads and the valley loads are kept
constant during the test (see Figure 2) for nomenclature relevant to cyclic fatigue testing
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prEN 15157:2005 (E)
Key
1 Time 6 Mean
2 Control parameter (test mode) 7 Peak (maximum)
3 Triangular form 8 Valley (minimum)
4 Trapezoidal form 9 Amplitude
5 Sinusoidal form 10 Range
Figure 2 — Cyclic fatigue nomenclature and wave forms
5.10 cyclic fatigue phenomena
5.10.1
load ratio, R
in cyclic fatigue loading, the algebraic ratio of the two loading parameters of a cycle; the most widely used
ratios are:
R = (minimum load / maximum load) or R = (valley load / peak load)
5.10.2 stress cyclic fatigue
5.10.2.1
maximum stress, σσ
σσ
max
the maximum applied stress during cyclic fatigue
5.10.2.2
minimum stress, σσσσ
min
the minimum applied stress during cyclic fatigue
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prEN 15157:2005 (E)
5.10.2.3
mean stress, σσσσ
m
the average applied stress during cyclic fatigue such that:
σ = (σ + σ ) / 2
m max min
5.10.2.4
stress amplitude, σσ
σσ
a
the difference between the maximum stress and the minimum stress, such that:
σ = (σ - σ ) / 2 = σ - σ = σ - σ
a max min max m m min
5.10.3 strain cyclic fatigue
5.10.3.1
maximum strain, εε
εε
max
the maximum applied strain during cyclic fatigue
5.10.3.2
minimum strain, εεεε
min
the minimum applied strain during cyclic fatigue
5.10.3.3
mean strain, εεεε
m
the average applied strain during cyclic fatigue such that:
ε = (ε + ε ) / 2
m max min
5.10.3.4
strain amplitude, εε
εε
a
the difference between the maximum stress and the minimum stress, such that:
ε = (ε - ε ) / 2 = ε - ε = ε - ε
a max min max m m min
5.10.4 fatigue parameters
5.10.4.1
number of cycles, N
the total number of loading cycles which is applied to the test specimen during the test
5.10.4.2
cyclic fatigue life, N
f
the total number of loading cycles which is applied to the test specimen up to failure
5.10.4.3
time to failure, t
f
time duration required to obtain the number of cycles N
f
5.10.5
definition of the stress-strain curve parameters
see Figure 1 in paragraph 4
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prEN 15157:2005 (E)
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