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
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 122)


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.


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



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


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© 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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