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TWO-SIDED ESTIMATIONS OF RESISTANCE TO PENETRATION OF A CONE INTO FROZEN GROUND

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

This work presents experimental data pertaining to the determination of the ultimate strength of frozen soil under uniaxial compression in the range of strain rates of 400–2700 s-1. Finite expressions are obtained for quadratic approximation coefficients that depend on the impact velocity of a stress normal to the impactor surface and the experimentally determined physical and mechanical parameters of the soil, namely shock adiabat and the dynamic strength in compression. The resulting expressions are verified by comparing them with known experimental data related to the penetration of a steel impactor into frozen sandy soil. It is shown that a difference between the results of two-sided estimates and the experiments does not exceed 15%.

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REFERENCES

  1. Q. Xie, Z. Zhu, and G. Kang, “Dynamic Stress–Strain Behavior of Frozen Soil: Experiments and Modeling," Cold Regions Sci. Technol. 106/107, 153–160 (2014).

  2. M. Christ and J. Park, “Ultrasonic Technique as Tool for Determining Physical and Mechanical Properties of Frozen Soils," Cold Regions Sci. Technol. 58, 136–142 (2009).

  3. X. Z. Ling, F. Zhang, Q. L. Li, et al., “Dynamic Shear Modulus and Damping Ratio of Frozen Compacted Sand Subjected to Freeze-Thaw Cycle under Multi-Stage Cyclic Loading," Soil Dyn. Earthquake Eng.76, 111–121 (2015).

  4. V. V. Balandin, N. S. Selyutina, and Yu. V. Petrov, “Effect of the Mass Fraction of Ice on the Strain Rate Dependence of Strength under Dynamic Fracture of Frozen Soil," Prikl. Mekh. Tekh. Fiz.60 (3), 154–161 (2019) [J. Appl. Mech. Tech. Phys.60 (3), 533–538 (2019)].

  5. Z. Zhu, G. Kang, Y. Ma, et al., “Temperature Damage and Constitutive Model of Frozen Soil under Dynamic Loading," Mech. Mater. 102, 108–116 (2016).

  6. E. I. Kraus, A. Yu. Melnikov, V. M. Fomin, and I. I. Shabalin, “Penetration of Steel Projectiles through Finite-Thickness Ice Targets," Prikl. Mekh. Tekh. Fiz. 60 (3), 146–153 (2019) [J. Appl. Mech. Tech. Phys. 60 (3), 526–532 (2019)].

  7. E. G. Glazova, S. V. Zefirov, A. V. Kochetkov, and S. V. Krylov, “Numerical Modeling of Normal Impact and Penetration of an Axisymmetric Body into Frozen Soil," Izv. Ross. Akad. Nauk, Mekh. Tv. Tela, No. 5, 48–56 (2015) [Mech. Solids 50 (5), 521–528 (2015)].

  8. A. M. Bragov, Vl. V. Balandin, V. L. Kotov, et al., “Experimental Study of the Impact and Penetration of A Cone in Frozen Sand," Prikl. Mekh. Tekh. Fiz. 59 (3), 111–120 (2019) [J. Appl. Mech. Tech. Phys. 59 (3), 482–490 (2019)].

  9. V. A. Veldanov and S. V. Fedorov, “Soil Behavior at the Interface with a Rigid Projectile during Penetration," Prikl. Mekh. Tekh. Fiz. 46 (6), 116–127 (2005) [J. Appl. Mech. Tech. Phys.46 (6), 867–875 (2005)].

  10. A. M. Bragov, V. V. Balandin, L. A. Igumnov, et al., “Impact and Penetration of Cylindrical Bodies into Dry and Water-Saturated Sand," Int. J. Impact Eng. 122, 197–208 (2018).

  11. V. L. Kotov, “Stress Approximation in the Vicinity of a Cavity Expanding at a Constant Rate in a Medium with a Mohr–Coulomb Plasticity Condition," Probl. Proch. Plast. 81 (2), 177–190 (2019).

  12. W. G. Proud, D. J. Chapman, D. M. Williamson, et al., “The Dynamic Compaction of Sand and Related Porous Systems," AIP Conf. Proc.955, 1403–1408 (2007); DOI: 10.1063/1.2832988.

  13. M. J. Forrestal and V. K. Luk, “Penetration into Soil Targets," Int. J. Impact Eng. 12 (3), 427–444 (1992).

  14. M. J. Forrestal and D. B. Longcope, “Target Strength of Ceramic Materials for High Velocity Penetration," J. Appl. Phys.67, 3669–3672 (1990).

  15. F. F. Vitman and V. A. Stepanov, “Effect of Strain Rate on the Resistance of Metals to Deformation at an Impact Velocity of 100–1000 m/s," in Some Problems of Strength of Solids(Izd. Akad. Nauk SSSR, Moscow, 1959) [in Russian].

  16. Ballistic Launchers and Their Use in Experimental Studies, Ed. by N. L. Zlatin and G. I. Mishin (Nauka, Moscow, 1974) [in Russian].

  17. V. M. Fomin, A. I. Gulidov, V. A. Babakov, et al.,High-Velocity Interaction of Solids (Izd. Sib. Otd. Akad. Nauk, Novosibirsk, 1999) [in Russian].

  18. V. A. Babakov and E. V. Shabunin, “A Method for Calculating the Motion of a Pneumatic Puncher in a Deformable Medium," Fiz.-Tekh. Probl. Razrab. Polezn. Iskop, No. 1, 105–110 (1987).

  19. E. B. Shabunin, “Calculating the Penetration of Impactors with Complex Shapes," Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 6, 43–47 (1992).

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Correspondence to V. L. Kotov.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Vol. 62, No. 1, pp. 125–133.https://doi.org/10.15372/PMTF20210114.

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Kotov, V.L., Bragov, A.M., Balandin, V.V. et al. TWO-SIDED ESTIMATIONS OF RESISTANCE TO PENETRATION OF A CONE INTO FROZEN GROUND. J Appl Mech Tech Phy 62, 110–117 (2021). https://doi.org/10.1134/S0021894421010144

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  • DOI: https://doi.org/10.1134/S0021894421010144

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