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Title: Predicting the 3D fatigue crack growth rate of small cracks using multimodal data via Bayesian networks: In-situ experiments and crystal plasticity simulations

Journal Article · · Journal of the Mechanics and Physics of Solids
ORCiD logo [1];  [1]; ORCiD logo [2]; ORCiD logo [3];  [4];  [5]
  1. Purdue Univ., West Lafayette, IN (United States). School of Aeronautics and Astronautics
  2. MINES ParisTech, Paris (France). PSL Research Univ., MAT – Centre des materiaux
  3. Laboratoire de Mécanique et Technologie (LMT), Paris (Fance)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  5. Univ. of Lyon (France)

Small crack propagation accounts for most of the fatigue life of engineering structures subject to high cycle fatigue loading conditions. Determining the fatigue crack growth rate of small cracks propagating into polycrystalline engineering alloys is critical to improving fatigue life predictions, thus lowering cost and increasing safety. In this work, cycle-by-cycle data of a small crack propagating in a beta metastable titanium alloy is available via phase and diffraction contrast tomography. Crystal plasticity simulations are used to supplement experimental data regarding the micromechanical fields ahead of the crack tip. Experimental and numerical results are combined into a multimodal dataset and sampled utilizing a non-local data mining procedure. Furthermore, to capture the propensity of body-centered cubic metals to deform according to the pencil-glide model, a non-local driving force is postulated. The proposed driving force serves as the basis to construct a data-driven probabilistic crack propagation framework using Bayesian networks as building blocks. The spatial correlation between the postulated driving force and experimental observations is obtained by analyzing the results of the proposed framework. Results show that the above correlation increases proportionally to the distance from the crack front until the edge of the plastic zone. Moreover, the predictions of the propagation framework show good agreement with experimental observations. Finally, we studied the interaction of a small crack with grain boundaries (GBs) utilizing various slip transmission criteria, revealing the tendency of a crack to cross a GB by propagating along the slip directions minimizing the residual Burgers vector within the GB.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1440486
Report Number(s):
LA-UR-17-31135
Journal Information:
Journal of the Mechanics and Physics of Solids, Vol. 115, Issue C; ISSN 0022-5096
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 74 works
Citation information provided by
Web of Science

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Cited By (7)

Using machine learning and a data-driven approach to identify the small fatigue crack driving force in polycrystalline materials journal July 2018
Identification of Plastic Properties From Conical Indentation Using a Bayesian-Type Statistical Approach journal October 2018
Data-Driven Materials Investigations: The Next Frontier in Understanding and Predicting Fatigue Behavior journal May 2018
Oxygen-diffusion-driven oxidation behavior and tracking areas visualized by X-ray spectro-ptychography with unsupervised learning journal April 2019
Accelerating Auxetic Metamaterial Design with Deep Learning journal January 2020
Accelerating Auxetic Metamaterial Design with Deep Learning journal May 2020
Active Structure Learning of Bayesian Networks in an Observational Setting text January 2021