Resistance of a medium to penetration of a rigid pile

Resistance of a medium to penetration of a rigid non-deformable pile was conventionally estimated using quadratic function of penetration rate. This article suggests to use not the rate of penetration but the depth of penetration of a pile (or a tool represented by a rigid rod), i.e. the value of displacement. It may be elastic or elastoplastic, or behave as the post-limit deformation, when the resistance decreases as the depth grows. It is proposed to use an equation of motion of a hammer to find resistance of a material. Integrating the equation recovers the time and penetration depth at the known mass and initial velocity of the tool. Resistance or response of a medium is estimated as an absolute value (another way is calculating the area under the curve of the medium resistance and penetration depth). The efficiency criterion of the tool penetration can be the value of the resistance of the medium. The action of the tool is effective at the least resistance at one and the same depth of penetration. Handling of the known experimental data on pile penetration in soil is described. The calculation basis was the initial velocity, penetration time and penetration depth. The result is the dependence of the soil resistance on the depth of the pile penetration.

Chanyshev A. I., Belousova О. E. Resistance of a medium to penetration of a rigid pile. MIAB. Mining Inf. Anal. Bull. 2025;(9):5-14. [In Russ]. DOI: 10.25018/0236_1493_ 2025_9_0_5.

The study was carried out in the framework of R&D project, state registration No. 124020700085-5.

A.I. Chanyshev¹, Dr. Sci. (Phys. Mathem.), Professor, Chief Researcher, e-mail: a.i.chanyshev@gmail.com, ORCID ID: 0000-0001-5772-0648,
O.E. Belousova¹, Cand. Sci. (Eng.), Assistant Professor, e-mail: o.e.belousova@mail.ru, ORCID ID: 0000-0003-2014-8427,
¹ Chinakal Institute of Mining Siberian Branch, Russian Academy of Sciences, 630091, Novosibirsk, Russia.

A.I. Chanyshev, e-mail: a.i.chanyshev@gmail.com.

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