A Simple Bound on the Asymptotic Pressure in a Spherical Cavity, Surrounded by an Infinite Elasto-Plastic Medium

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Abstract
A simple formula is suggested for the upper bound on the asymptotic pressure in a spherical cavity surrounded by an infinite elasto-plastic medium. The uniaxial stress-strain curve is assumed to be represented by the Ramberg-Osgood equation. Comparison of the proposed upper bound with the exact asymptotic pressure, for a few metals, shows that the average overestimation is around 16 percent.

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