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Effect of mean stress in high-temperature fatigue

Energy-based approach is considered for crack growth and the result is used to explain the experimental investigations carried out to study the effect of mean stress on the fatigue behavior of alpha brass at elevated temperature

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Abstract

Investigations have been carried out to study the effect of mean stress and temperature on the fatigue behavior of alpha brass. Introduction of mean stress reduces the fatigue life of the material, the reduction being very much pronounced in the temperature region of 0.5T m . Theoretical analysis based on hysteresis energy yields relations which describe well the experimental findings.

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Abbreviations

a, A 1 , A 2 :

constants

B :

constant

C 1 , C 2 …:

constants

K 1 :

maximum stress-intensity factor

K 2 :

minimum stress-intensity factor

K a :

stress-intensity factor corresponding to σ a

l :

half crack length

l o :

fictitious crack length corresponding to σ u

l c :

critical crack length

N :

number of cycles

N f :

number of cycles to fracture

p, q :

constants

Q :

activation energy

R :

stress ratio

T :

temperature in absolute scale

T m :

melting temperature

δw :

hysteresis energy of bulk material

δw + :

hysteresis energy at crack tip

β:

temperature-dependent constant

σ 1 :

maximum applied stress

σ a :

alternating component of the stress

σ m :

mean stress

σ+ p :

stress at crack tip

σ u :

ultimate strength

p :

plastic strain

+ p :

plastic strain at crack tip

References

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Radhakrishnan, V.M. Effect of mean stress in high-temperature fatigue. Experimental Mechanics 18, 196–200 (1978). https://doi.org/10.1007/BF02324142

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  • DOI: https://doi.org/10.1007/BF02324142

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