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Dynamic Penetration into Water Saturated and Frozen Sand: Numerical Analysis of the Inverse Experimental Methodology

  • Vasiliy KotovEmail author
  • Vladimir V. Balandin
  • Vladimir Vl. Balandin
  • Anatoliy Bragov
  • Andrey Lomunov
  • Svetlana Litvinchuk
Chapter
  • 40 Downloads
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 122)

Abstract

The present paper numerically analyzes the applicability of the inverse experiment methodology for determining the force resisting penetration of a conical striker into frozen sand soil at a temperature of −18 °C. The condition of the soil specimen prior to freezing is characterized as fully water saturated. The deformational behavior of the soil is described in the framework of the model of compressible elastic-plastic media with the plasticity condition depending on pressure. The dynamic compressibility diagram of the frozen soil includes the initial linearly elastic part. The errors in determining the force resisting penetration of a conical striker into frozen soil in the inverse experiment due to the effect of the waves reflected from the container walls were analyzed. The difference between maximal values of the force resisting penetration, obtained in the numerical calculations with the two versions of the boundary conditions, was used as a measure of the effect. For the problems of penetration of conical strikers into frozen and water-saturated soil, a good agreement between the experimental data and numerical results can be obtained with the help of Grigoryan’s model accounting for the pressure-dependent parameters.

Keywords

Grigoryan’s soil model Inverse experiment Conical striker Frozen sand Water-saturated soil 

Notes

Acknowledgements

This work was supported by a grant from the Government of the Russian Federation (contract No. 14.Y26.31.0031).

References

  1. 1.
    Forrestal, M.J., Grady, D.E.: Penetration experiments for normal impact into geological targets. Int. J. Solids Struct. 1, 18 (1982)Google Scholar
  2. 2.
    Forrestal, M.J., Lee, L.M., Jenrette, B.D.: Laboratory-scale penetration experiments into geological targets to impact velocities of 2.1 km/s. J. Appl. Mech. 53(2) (1986)Google Scholar
  3. 3.
    Balandin, Vl.V., Balandin, Vl.Vl., Bragov, A.M., Kotov, V.L.: Experimental study of the dynamics of penetration of a solid body into a soil medium. Tech. Phys. 61(6) (2016)Google Scholar
  4. 4.
    Bazhenov, V.G., Bragov, A.M., Kotov, V.L., Kochetkov, A.V.: An investigation of the impact and penetration of solids of revolution into soft earth. J. Appl. Math. Mech. 67, 4 (2003)CrossRefGoogle Scholar
  5. 5.
    Balandin, V.V., Bragov, A.M., Igumnov, L.A., Konstantinov, AYu., Kotov, V.L., Lomunov, A.K.: Dynamic deformation of soft soil media: experimental studies and mathematical modeling. Mech. Solids 50, 3 (2015)CrossRefGoogle Scholar
  6. 6.
    Kotov, V.L., Balandin, V.V., Bragov, A.M., Balandin, Vl.Vl.: Investigation of dynamic resistance to the shear of water-saturated sand according to the results of the inverse experiment technique. Tech. Phys. Let. 43(9) (2017)Google Scholar
  7. 7.
    Bragov, A.M., Balandin, Vl.V., Kotov, V.L., Balandin, Vl.Vl.: Investigation of the dynamic properties of water-saturated sand by the results of inverted experiments. Tech. Phys. 63(4) (2018)Google Scholar
  8. 8.
    Bazhenov, V.G., Kotov, V.L., Krylov, S.V., Balandin, V.V., Bragov, A.M., Tsvetkova, E.V.: Experimental-theoretical analysis of non-stationary interaction of deformable impactors with soil. J. Appl. Mech. Tech. Phys. 6, 42 (2001)Google Scholar
  9. 9.
    Grigoryan, S.S.: On basic concepts of soil dynamics. J. Appl. Math. Mech. 24, 6 (1960)MathSciNetGoogle Scholar
  10. 10.
    Bragov, A.M., Balandin, V.V., Igumnov, L.A., Kotov, V.L., Kruszka, L., Lomunov, A.K.: Impact and penetration of cylindrical bodies into dry and water-saturated sand. Int. J. Impact Eng. 122 (2018)Google Scholar
  11. 11.
    Abouziarov, M., Bazhenov, V.G., Kotov, V.L., Kochetkov, A.V., Krylov, S.V., Fel’dgun, V.R.: A Godunov-type method in dynamics of elastoplastic media. Comput. Math. Math. Phys. 40, 6 (2000)MathSciNetzbMATHGoogle Scholar
  12. 12.
    Bazhenov, V.G., Zefirov, S.V., Kochetkov, A.V., Krylov, S.V., Feldgun, V.R.: The dynamica-2 software package for analyzing plane and axisymmetric nonlinear problems of non-stationary interaction of structures with compressible media. Matem. Mod. 12, 6 (2000)Google Scholar
  13. 13.
    Kotov, V.L., Balandin, Vl.V., Balandin, Vl.Vl., et al.: Application of the reverse experiment to study the resistance of a conical shocker during penetration in frozen sand. Probl. Strength Plast. 79(2) (2017) (In Russian)Google Scholar
  14. 14.
    Haimin, D., Wei, M., Shujuan, Z., Zhiwei, Z., Enlong, L.: Strength properties of ice-rich frozen silty sands under uniaxial compression for a wide range of strain rates and moisture contents. Cold Reg. Sci. Technol. 123 (2016)Google Scholar
  15. 15.
    Qin-Yong, M.: Experimental analysis of dynamic mechanical properties for artificially frozen clay by the split Hopkinson pressure bar. J. Appl. Mech. Tech. Phys. 51(3) (2010)Google Scholar
  16. 16.
    Qijun, X., Zhiwu, Z., Guozheng, K.: Dynamic stress–strain behavior of frozen soil: experiments and modeling. Cold Reg. Sci. Technol., 106–107 (2014)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Vasiliy Kotov
    • 1
    Email author
  • Vladimir V. Balandin
    • 1
  • Vladimir Vl. Balandin
    • 1
  • Anatoliy Bragov
    • 1
  • Andrey Lomunov
    • 1
  • Svetlana Litvinchuk
    • 1
  1. 1.Research Institute of MechanicsNational Research Lobachevsky State University of Nizhny NovgorodNizhny NovgorodRussian Federation

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