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inelastic strain
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in Partitioning of Hysteresis Loops and Life Relations
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
Fig. 5.3 Determination of inelastic strain, plastic strain, and creep strain in each interval of a stabilized hysteresis loop. (a) Stabilized hysteresis loop. (b) Creep strain after reaching point P . Source: Ref 5.15
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Published: 01 December 1989
Fig. 4.35. Correlation between normalized inelastic strain range and cycles to failure ( Ref 109 ). (a) Austenitic stainless steels and Incoloy 800 at 600 °C (1110 °F). (b) Austenitic stainless steels and Incoloy 800 at 700 °C (1290 °F). (c) 1¼Cr-½Mo steel at 600 °C (1110 °F). Use appropriate
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in Deformation and Fracture Mechanisms and Static Strength of Metals
> Mechanics and Mechanisms of Fracture: An Introduction
Published: 01 August 2005
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in Partitioning of Hysteresis Loops and Life Relations
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
Fig. 5.4 Application of measured inelastic strain components in each interval to determine the resultant creep and plastic strains in a half-cycle. (a) Plot of measured components in each interval. (b) Averaging of data. (c) Reduction of data. Source: Ref 5.15
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in Total Strain-Based Strain-Range Partitioning—Isothermal and Thermomechanical Fatigue
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
Fig. 6.33 Inelastic strain-rate partitioning life relationships reported in Ref 7.6 for zero mean stress conditions: René 95, 650 °C (1200 °F). Data from Ref 6.22 and 6.23 (a) PP. (b) PC. (c) CC. (d) CP. Source: Ref 6.6
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in Total Strain-Based Strain-Range Partitioning—Isothermal and Thermomechanical Fatigue
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
Fig. 6.42 Inelastic Strain-Range Life Relationships for out-of-phase bithermal thermomechanical fatigue test 483⇔871 °C (900⇔1600 °F), with 4 min/cycle for cast B-1900+Hf. Source: Ref 6.27
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in Total Strain-Based Strain-Range Partitioning—Isothermal and Thermomechanical Fatigue
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
Fig. 6.23 Schematic strain-strain flow diagram. Elastic strain range versus inelastic strain range for nonisothermal creep-fatigue cycles. Cyclic strain-hardening coefficient K IJ is shown as a decreasing function of hold-time per cycle, assuming constant n . Source: Ref 6.9
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Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.fdmht.t52060111
EISBN: 978-1-62708-343-0
... Abstract This chapter explains why it is sometimes necessary to separate inelastic from elastic strains and how to do it using one of two methods. It first discusses the direct calculation of strain-range components from experimental data associated with large strains. It then explains how...
Abstract
This chapter explains why it is sometimes necessary to separate inelastic from elastic strains and how to do it using one of two methods. It first discusses the direct calculation of strain-range components from experimental data associated with large strains. It then explains how the method can be extended to the treatment of very low inelastic strains by adjusting tensile and compressive hold periods and continuous cycling frequencies. The chapter then begins the presentation of the second approach, called the total strain-range method, so named because it combines elastic and inelastic strain into a total strain range. The discussion covers important features, procedures, and correlations as well as the use of models and the steps involved in predicting thermomechanical fatigue (TMF) life. It also includes information on isothermal fatigue, bithermal creep-fatigue testing, and the predictability of the method for TMF cycling.
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.fdmht.t52060043
EISBN: 978-1-62708-343-0
... Abstract Strain-range partitioning is a method for assessing the effects of creep fatigue based on inelastic strain paths or strain reversals. The first part of the chapter defines four distinct strain paths that can be used to model any cyclic loading pattern and describes the microstructural...
Abstract
Strain-range partitioning is a method for assessing the effects of creep fatigue based on inelastic strain paths or strain reversals. The first part of the chapter defines four distinct strain paths that can be used to model any cyclic loading pattern and describes the microstructural damages associated with each of the four basic loading cycles. The discussion then turns to fatigue life prediction for different types of materials and more realistic loading conditions, particularly those in which hysteresis loops have more than one strain-range component. To that end, the chapter considers two cases. In one, the relationship between strain range and cyclic life is established from test data. In the other, a rule is required to determine the damage of each concurrent strain and the total damage of the cycle is used to predict creep-fatigue life. The chapter presents several such damage rules and discusses their applicability in different situations.
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in Total Strain-Based Strain-Range Partitioning—Isothermal and Thermomechanical Fatigue
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
Fig. 6.21 Construction of inelastic, elastic, and total strain-range life relationships for tensile strain hold-time cycling
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in Aerospace Applications—Example Fatigue Problems
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
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in Total Strain-Based Strain-Range Partitioning—Isothermal and Thermomechanical Fatigue
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
Fig. 6.10 Two possible extremes of behavior in strain cycling at low strain range with tensile strain hold-times. (a) Ratcheting resulting in eventual shakedown, wherein no cyclic inelastic strain develops. (b) Eventual development of closed hysteresis loop with cyclic inelastic strains
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Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.fdmht.t52060155
EISBN: 978-1-62708-343-0
... ) + ( ε 2 − ε 3 ) + ( ε 3 − ε 1 ) ] 1 / 2 where σ 1 , σ 2 , σ 3 , are the principal stresses, and ε 1 , ε 2 , ε 3 , are the principal inelastic strains. In this discussion, we assume that the inelastic strains are sufficiently large to make the elastic...
Abstract
This chapter addresses the question of how to deal with multiaxial stresses and strains when using the strain-range partitioning method to analyze the effects of creep fatigue. It is divided into three sections: a general discussion on the rationale used in formulating rules for treating multiaxiality, a concise listing of the rules, and an example problem in which axial creep-fatigue data is used to predict the torsional creep-fatigue life of type 304 and 316 stainless steel. The chapter also includes a brief introduction in which the authors outline the challenges presented by multiaxial loading and set practical limits on the problem they intend to treat.
Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.fdmht.t52060083
EISBN: 978-1-62708-343-0
.... However, if both stress and strain vary simultaneously with time, additional analysis is required to separate, or partition, the inelastic strain into its creep and plasticity components. This is the general condition experienced by materials at critical locations in high-temperature components subjected...
Abstract
This chapter compares and contrasts empirical approaches for partitioning hysteresis loops and predicting creep-fatigue life. The first part of the chapter presents experimental partitioning methods, explaining how they can be used to partition any loading cycle into its basic strain-range components. The methods covered include rapid cycling between peak stress extremes, half-cycle rapid loading and unloading, and variations of the incremental step-stress approach. The methods are then compared based on their ability to predict creep-fatigue life. The chapter goes on from there to describe how fatigue life can be estimated from ductility measurements when cyclic data are unavailable or are likely to change. It also explains how cyclic life is influenced by the time-dependent nature of creep-plasticity and the physical and metallurgical effects of environmental exposure.
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Published: 01 December 1989
Fig. 4.30. Illustration of partitioning of the strain range into component strains. (a) Idealized hysteresis loops for the four basic types of inelastic strain range. (b) Hysteresis loop containing Δ∊ pp , Δ∊ cc , and Δ∊ cp .
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in Total Strain-Based Strain-Range Partitioning—Isothermal and Thermomechanical Fatigue
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
Fig. 6.36 Predictability capabilities reported in Ref 6.6 of strain-rate partitioning. Data from Ref 6.22 and 6.23 (a) Total strain-range approach. (b) Inelastic strain-range approach. Source: Ref 6.6
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in Total Strain-Based Strain-Range Partitioning—Isothermal and Thermomechanical Fatigue
> Fatigue and Durability of Metals at High Temperatures
Published: 01 July 2009
Fig. 6.4 Analysis of tensile strain hold-time cycle by engineering estimation of hysteresis loop. (a) Tensile strain hold-time hysteresis loop. (b) Calculated stress relaxation during tensile strain hold-time. (c) Elastic and inelastic strain range versus life relationships. Source: Ref 6.2
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Published: 01 December 1989
Fig. 4.41. Typical examples of the four types of thermal-fatigue-life characteristics in the inelastic-strain-range-vs-life relationship ( Ref 148 ).
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Published: 01 December 1989
Fig. 4.24. Variation of number of cycles to failure (N f ) in low-cycle fatigue as a function of inelastic strain range and frequency ( ν ) for MAR-M 509 ( Ref 67 ).
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Book Chapter
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.fdmht.t52060231
EISBN: 978-1-62708-343-0
... and the hydrogen media, the surface heat-transfer coefficients within the hot gas path in the SSME are 100 times greater than encountered in a typical aeronautical gas turbine engine. This extremely severe condition creates large transient thermal stresses and strains within the high-temperature engine components...
Abstract
This chapter explains how the authors assessed the potential risks of creep-fatigue in several aerospace applications using the tools and techniques presented in earlier chapters. It begins by identifying the fatigue regimes encountered in the main engines of the Space Shuttle. It then describes the types of damage observed in engine components and the methods used to mitigate problems. It also discusses the results of analyses that led to changes in design or approach and examines fatigue-related issues in turbine engines used in commercial aircraft.
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