DataVXJournal of Materials ResearchPaper
journal article·2023-01-28

On the determination of the elastic properties of anisotropic materials from indentation measurements

S. Shrikanth, Suresh Neelakantan, Rajesh Prasad

Journal of Materials Research· Volume 38· Issue 2
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Abstract

For isotropic solids, the indentation modulus (M) is related to the Youngs modulus (E) and Poissons ratio (ν) as(M = E/(1 - u2 )). For anisotropic solids, owing to the computational complexity, a common practice is to assumeEas the Youngs modulus along the indentation direction, which can then be derived from the indentation modulus as(Em = M(1 - u2 )). In the current study, the effectiveness of this approach is critically assessed. Estimates varying from one-twelfth to five times the actual value are obtained. The likelihood of errors < 10% is high only for indentations along(langle {11}0 angle)in cubic and the basal directions in hexagonal materials. Further, approximate closed-form expressions for the indentation moduli for a flat circular punch on the {001}, {110}, and {111} planes of cubic materials are obtained. A method to determine the elastic constants of cubic materials solely from the indentation moduli of the {001}, {110}, and {111} planes is proposed and validated.Graphical abstract
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Research context

OpenAlex topics: Metal and Thin Film Mechanics · Advanced ceramic materials synthesis · Microstructure and mechanical properties

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