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10.3390/ma11101917
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Article

Application of Differential Entropy in Characterizing the Deformation Inhomogeneity and Life Prediction of Low-Cycle Fatigue of Metals

by
Mu-Hang Zhang
1,
Xiao-Hong Shen
1,
Lei He
1 and
Ke-Shi Zhang
2,*
1
Key Laboratory of Ocean Acoustics and Sensing, School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, China
2
Key Laboratory of Disaster Prevention and Structural Safety, College of Civil and Architectural Engineering, Guangxi University, Nanning 530004, China
*
Author to whom correspondence should be addressed.
Materials 2018, 11(10), 1917; https://doi.org/10.3390/ma11101917
Submission received: 12 September 2018 / Revised: 2 October 2018 / Accepted: 3 October 2018 / Published: 9 October 2018
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Abstract

The relation between deformation inhomogeneity and low-cycle-fatigue failure of T2 pure copper and the nickel-based superalloy GH4169 under symmetric tension-compression cyclic strain loading is investigated by using a polycrystal representative volume element (RVE) as the material model. The anisotropic behavior of grains and the strain fields are calculated by crystal plasticity, taking the Bauschinger effect into account to track the process of strain cycles of metals, and the Shannon’s differential entropies of both distributions of the strain in the loading direction and the first principal strain are employed at the tension peak of the cycles as measuring parameters of strain inhomogeneity. Both parameters are found to increase in value with increments in the number of cycles and they have critical values for predicting the material’s fatigue failure. Compared to the fatigue test data, it is verified that both parameters measured by Shannon’s differential entropies can be used as fatigue indicating parameters (FIPs) to predict the low cycle fatigue life of metal.
Keywords: deformation inhomogeneity; crystal plasticity; differential entropy; low-cycle fatigue; life prediction; polycrystalline metal deformation inhomogeneity; crystal plasticity; differential entropy; low-cycle fatigue; life prediction; polycrystalline metal

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MDPI and ACS Style

Zhang, M.-H.; Shen, X.-H.; He, L.; Zhang, K.-S. Application of Differential Entropy in Characterizing the Deformation Inhomogeneity and Life Prediction of Low-Cycle Fatigue of Metals. Materials 2018, 11, 1917. https://doi.org/10.3390/ma11101917

AMA Style

Zhang M-H, Shen X-H, He L, Zhang K-S. Application of Differential Entropy in Characterizing the Deformation Inhomogeneity and Life Prediction of Low-Cycle Fatigue of Metals. Materials. 2018; 11(10):1917. https://doi.org/10.3390/ma11101917

Chicago/Turabian Style

Zhang, Mu-Hang, Xiao-Hong Shen, Lei He, and Ke-Shi Zhang. 2018. "Application of Differential Entropy in Characterizing the Deformation Inhomogeneity and Life Prediction of Low-Cycle Fatigue of Metals" Materials 11, no. 10: 1917. https://doi.org/10.3390/ma11101917

APA Style

Zhang, M.-H., Shen, X.-H., He, L., & Zhang, K.-S. (2018). Application of Differential Entropy in Characterizing the Deformation Inhomogeneity and Life Prediction of Low-Cycle Fatigue of Metals. Materials, 11(10), 1917. https://doi.org/10.3390/ma11101917

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