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Prediction of Maximum Fatigue Indicator Parameters for Duplex Ti-6Al-4V Using Extreme Value Theory

30 Pages Posted: 10 Dec 2019 Publication Status: Accepted

See all articles by Tang Gu

Tang Gu

Georgia Institute of Technology - George W. Woodruff School of Mechanical Engineering

Krzysztof S. Stopka

Georgia Institute of Technology - George W. Woodruff School of Mechanical Engineering

Chuan Xu

Université de Nice Sophia Antipolis - INRIA - Institut National de Recherche en Informatique et Automatique

David L. McDowell

Georgia Institute of Technology - George W. Woodruff School of Mechanical Engineering

Abstract

Fatigue Indicator Parameters (FIPs) based on the cyclic plastic strain are used as surrogate measures of the driving force for fatigue crack formation. For a given microstructure, the Extreme Value Distribution (EVD) of FIPs can be populated using results of a number of digital Statistical Volume Element (SVE) instantiations analyzed by the crystal plasticity finite element method. The number of microstructure instantiations affects the maximum FIPs computed. To predict the maximum FIPs in a large volume of material using simulation results from a limited number of SVEs, we proposed a statistical approach based on extreme value theory. The predicted maximum FIP values are compared directly to simulation results of 1000 SVEs to validate the proposed method for duplex Ti-6Al-4V. It is shown that simulations of only 100 SVEs suffice to identify the statistical information for a reliable prediction of the maximum FIPs in polycrystalline duplex Ti-6Al-4V with initial random texture.

Keywords: High cycle fatigue, Extreme value statistics, Crystal plasticity, Finite element modeling, Ti-6Al-4V

Suggested Citation

Gu, Tang and Stopka, Krzysztof S. and Xu, Chuan and McDowell, David L., Prediction of Maximum Fatigue Indicator Parameters for Duplex Ti-6Al-4V Using Extreme Value Theory (December 5, 2019). Available at SSRN: https://ssrn.com/abstract=3499072 or http://dx.doi.org/10.2139/ssrn.3499072

Tang Gu (Contact Author)

Georgia Institute of Technology - George W. Woodruff School of Mechanical Engineering ( email )

801 Ferst Drive
Georgia Institute of Technology
Atlanta, GA 30332-0405
United States

Krzysztof S. Stopka

Georgia Institute of Technology - George W. Woodruff School of Mechanical Engineering

801 Ferst Drive
Georgia Institute of Technology
Atlanta, GA 30332-0405
United States

Chuan Xu

Université de Nice Sophia Antipolis - INRIA - Institut National de Recherche en Informatique et Automatique

250, rue Albert Einstein
Sophia Antipolis
France

David L. McDowell

Georgia Institute of Technology - George W. Woodruff School of Mechanical Engineering

801 Ferst Drive
Georgia Institute of Technology
Atlanta, GA 30332-0405
United States

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