Abstract

The indentation of a generally anisotropic elastic half-space by a rigid spherical indentor is considered. We derive an approximate equation for the eccentricity of the ellipsoidal contact region and an approximate expression for the indentation modulus. Our approximate formulae are first validated by ABAQUS-based numerical simulations, and then specialized to the particular case of a fibre-reinforced composite half-space. Numerical results are presented to show the dependence of the eccentricity and indentation modulus on the compressibility and fibre strength of the composite material. Possible application of our approximate formulae to the determination of elastic constants of fibre-reinforced materials is discussed.

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