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Mechanical Responses of Primary-α Ti Grains in Polycrystalline Samples: Part II—Bayesian Estimation of Crystal-Level Elastic-Plastic Mechanical Properties from Spherical Indentation Measurements

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Abstract

In the second part of the work, a two-step Bayesian framework is utilized for the estimation of values of the single-crystal elastic constants as well as the initial slip resistances of the different slip families in the primary α-phase components in the Ti alloys of different compositions. These estimations are based on the spherical indentation measurements presented in Part I of this series. The first step of the two-step Bayesian framework established a reduced-order model which captures the dependence of the indentation property as a function of the relevant crystal-level (intrinsic) material properties and the crystallographic lattice orientation in the indentation deformation zone. This reduced-order model is calibrated to high-fidelity results obtained from suitable crystal-plasticity finite element simulations. The second step involved the calibration of the indentation measurements obtained within the primary α-phase (from Part I of this series) to the reduced-order model established in the first step. It is demonstrated that the protocols described above result in the successful generation of a comprehensive dataset of single-crystal elastic–plastic properties across a collection of Ti alloys while accounting for the implicit uncertainties in the spherical indentation measurements.

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Acknowledgements

AC, AV, and SK would like to acknowledge support from the Air Force Office of Scientific Research (AFOSR) Grant FA9550-18-1-0330 (program manager, J. Tiley).

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  1. George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

    Andrew R. Castillo, Aditya Venkatraman & Surya R. Kalidindi

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  1. Andrew R. Castillo
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  2. Aditya Venkatraman
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  3. Surya R. Kalidindi
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Correspondence to Surya R. Kalidindi.

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Castillo, A.R., Venkatraman, A. & Kalidindi, S.R. Mechanical Responses of Primary-α Ti Grains in Polycrystalline Samples: Part II—Bayesian Estimation of Crystal-Level Elastic-Plastic Mechanical Properties from Spherical Indentation Measurements. Integr Mater Manuf Innov 10, 99–114 (2021). https://doi.org/10.1007/s40192-021-00204-9

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