TY - JOUR
T1 - Fatigue crack growth under variable-amplitude loading
T2 - Part I - Model formulation in state-space setting
AU - Ray, Asok
AU - Patankar, Ravindra
N1 - Funding Information:
The research work reported in this paper has been supported in part by National Science Foundation under grant no. CMS-9819074; National Academy of Sciences under a research fellowship award to the first author; ARINC Corporation under NASA Langley Research Center Cooperative Agreement No. NCC1-333.
PY - 2001/11
Y1 - 2001/11
N2 - This two-part paper presents formulation and validation of a non-linear dynamical model of fatigue crack growth in ductile alloys under variable-amplitude loading including single-cycle overloads, irregular sequences, and random loads. The model is formulated in the state-space setting based on the crack closure concept and captures the effects of stress overload and reverse plastic flow. The state variables of the model are crack length and crack opening stress. This paper, which is the first part, presents formulation of the state-space model that can be restructured as an autoregressive moving average (ARMA) model for real-time applications such as health monitoring and life extending control. The second part is the companion paper that is dedicated to model validation with fatigue test data under different types of variable-amplitude and spectrum loading.
AB - This two-part paper presents formulation and validation of a non-linear dynamical model of fatigue crack growth in ductile alloys under variable-amplitude loading including single-cycle overloads, irregular sequences, and random loads. The model is formulated in the state-space setting based on the crack closure concept and captures the effects of stress overload and reverse plastic flow. The state variables of the model are crack length and crack opening stress. This paper, which is the first part, presents formulation of the state-space model that can be restructured as an autoregressive moving average (ARMA) model for real-time applications such as health monitoring and life extending control. The second part is the companion paper that is dedicated to model validation with fatigue test data under different types of variable-amplitude and spectrum loading.
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U2 - 10.1016/S0307-904X(01)00026-9
DO - 10.1016/S0307-904X(01)00026-9
M3 - Article
AN - SCOPUS:0035499506
SN - 0307-904X
VL - 25
SP - 979
EP - 994
JO - Applied Mathematical Modelling
JF - Applied Mathematical Modelling
IS - 11
ER -