@article{ref1,
title="A Simple Quantitative Method for Identification of Failure due to Fatigue Damage",
journal="International journal of damage mechanics",
year="2011",
author="Al-Khateeb, Ghazi and Shenoy, Aroon",
volume="20",
number="1",
pages="3-21",
abstract="A simple quantitative method is presented which is applicable to any type of fatigue testing that uses sinusoidal strain/stress input and which will work for experimentally identifying points of failure due to fatigue damage of any kind of material being tested. The present work utilizes strain-controlled bending beam fatigue test on asphalt mixtures to demonstrate the efficacy of this method. Distortions in the hysteresis loop or waveform are tracked to pinpoint the appearance of initial microcracks and final point of complete failure due to fatigue damage. Relationship between output signals for consecutive cycles with reference to initial stable cycle is used for computing ‘R<sup> 2</sup>’. The ‘R<sup>2</sup>’ drops sharply from initial stable value of 1 to less than 0.5 and eventually to almost 0 with increasing loading cycles. The number of cycles determined from the fitted equation at ‘R<sup>2</sup>’ = 1 marks the point of first fatigue failure N<sub> fff</sub> and ‘R<sup>2</sup>’ = 0 marks the point of complete fatigue failure N<sub>cff</sub>.<p />",
language="",
issn="1056-7895",
doi="10.1177/1056789509343084",
url="http://dx.doi.org/10.1177/1056789509343084"
}