Combining upper bound and strain path methods for evaluating penetration resistance

The problem of penetration resistance involves a continuously moving zone of plastic distortion in the soil medium. This has been explored for cone penetration and pile installation, where additional volume is intruded into the soil, using the strain path method with the flow field derived from classical fluid mechanics. This paper focuses on a new generation of penetrometers, which have a much greater projected area than the cone shaft, and introduces a version of the strain path method based on classical upper bound solutions for the penetrometers. The new approach is used to explore the effects of high strain rates, and gradual strength degradation, on the penetration resistance of cylindrical and spherical penetrometers