TY - JOUR
T1 - A stochastic model of fatigue crack propagation under variable-amplitude loading
AU - Ray, Asok
AU - Patankar, Ravindra
N1 - Funding Information:
The authors are grateful to Professor H. Ghonem of University of Rhode Island and Professor B.M. Hillberry of Purdue University for providing the experimental fatigue crack growth data, and to Dr J.C. Newman Jr of NASA Langley Research Center for technical advice. The research work reported in this paper was supported in part by National Science Foundation under research grant nos. DMI-9424587 and CMS-9531835, NASA Langley Research Center grant no. NCC-1-249, and a National Academy of Sciences Research Fellowship award to the first author.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 1999/3
Y1 - 1999/3
N2 - This paper presents a stochastic model of fatigue crack propagation in ductile alloys that are commonly encountered in mechanical structures and machine components of complex systems (e.g. aircraft, spacecraft, ships and submarines, and power plants). The stochastic model is built upon a deterministic state-space model of fatigue crack propagation under variable-amplitude loading. The (non-stationary) statistic of the crack growth process for center-cracked specimens is obtained as a closed form solution of the stochastic differential equations. Model predictions are in agreement with experimental data for specimens fabricated from 2024-T3 and 7075-T6 aluminum alloys and Ti-6Al-4 V alloy subjected to constant-amplitude and variable-amplitude loading, respectively. The stochastic model of crack propagation can be executed in real time on an inexpensive platform such as a Pentium processor.
AB - This paper presents a stochastic model of fatigue crack propagation in ductile alloys that are commonly encountered in mechanical structures and machine components of complex systems (e.g. aircraft, spacecraft, ships and submarines, and power plants). The stochastic model is built upon a deterministic state-space model of fatigue crack propagation under variable-amplitude loading. The (non-stationary) statistic of the crack growth process for center-cracked specimens is obtained as a closed form solution of the stochastic differential equations. Model predictions are in agreement with experimental data for specimens fabricated from 2024-T3 and 7075-T6 aluminum alloys and Ti-6Al-4 V alloy subjected to constant-amplitude and variable-amplitude loading, respectively. The stochastic model of crack propagation can be executed in real time on an inexpensive platform such as a Pentium processor.
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U2 - 10.1016/s0013-7944(98)00103-9
DO - 10.1016/s0013-7944(98)00103-9
M3 - Article
AN - SCOPUS:0032688580
SN - 0013-7944
VL - 62
SP - 477
EP - 493
JO - Engineering Fracture Mechanics
JF - Engineering Fracture Mechanics
IS - 4-5
ER -