Abstract
Dynamic tests of dry clay were carried out to identify the parameters of the soil medium model of S.S. Grigoryan. To study the dynamic compressive strength under a uniaxial stress in the samples, the experiments were carried out on a PG-20 setup that implements the classical SHPB method. The modified SHPB method with a sample in a rigid holder was used in tests under conditions close to one-dimensional deformation. Based on the results of these experiments, the compressive strength of clay was determined at various strain rates up to 1200 1/s. In experiments with uniaxial deformation in the range of longitudinal stresses up to 400 MPa, strain diagrams, compressibility curves, and pressure dependences of the yield stress were obtained. The analysis of the results showed that the strain rate has practically no effect on the course of the strain diagrams and compressibility curves of the studied soil. The shear strength of the studied soil obeys the Mohr–Coulomb law both under loading and unloading. Based on the results of the experiments, the parameters of the mathematical model of S.S. Grigoryan for dry clay were obtained. Using this model in the LS-Dyna software package, the process of sample deformation was simulated under conditions corresponding to a real experiment. A good agreement between numerical and experimental results is obtained. To verify the model of the soil environment, model experiments were carried out on the penetration of conical tips into dry clay in a reversed formulation. Using this identified model in the LS-Dyna software package, numerical simulation of penetration was carried out under conditions similar to those carried out using the reversed experiment. Comparison of the results of model and numerical experiments showed their satisfactory agreement at a dry friction coefficient of 0.5.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Arlery M, Gardou M, Fleureau JM, Mariotti C (2010) Dynamic behaviour of dry and watersaturated sand under planar shock conditions. Int J Imp Eng 37:1–10. https://doi.org/10.1016/j.ijimpeng.2009.07.009
Balandin VV, Balandin VlVl, Bragov AM, Kotov VL (2016) Experimental study of the dynamics of penetration of a solid body into a soil medium. Tech Phys 61(6):860–868
Balandin VV, Balandin VlVl, Bragov AM (2020) Experimental study of the processes of penetration of axisymmetric bodies into soft soil media. Nizhny Novgorod, p. 163. ISBN 978–5–600–02899–9 (in Rus)
Bazhenov VG, Balandin VV, Grigoryan SS, Kotov VL (2014) Analiz modeley rascheta dvizheniya tel vrashcheniya minimalnogo soprotivleniya v gruntovykh sredakh [Analysis of models for calculating the motion of solids of revolution of minimum resistance in soil media], Prikladnaya Matematika i Mekhanika [J. Appl. Math. Mech.], 78:98–115 (In Russian)
Bivin YK, Viktorov VV, Stepanov LP (1978) Study of body motion in a clay environment. Izv Akad Nauk SSSR Mekh Tverd Tela 2:159–165. [Mech. Solids (Engl. Transl.)]
Bivin YK, Viktorov VV, Kovalenko BY (1980) Determination of dynamic characteristics of soils by the penetration method. Mech Solids, 15(3):105–110
Bivin YK, Kolesnikov VA, Flitman LM (1982) Determining mechanical properties of a medium by the dynamic penetration method. Izv Akad Nauk SSSR Mekh Tverd Tela (5):182–185 (1982) [Mech. Solids (Engl. Transl.)]
Bragov AM, Grushevskii GM (1993) Influence of the moisture content and granulometric composition on the shock compressibility of sand. Tech Phys Lett 19:385–386
Bragov AM, Grushevsky GM, Lomunov AK (1996a) Use of the kolsky method for confined tests of soft soils. Exp Mech 36:237–242
Bragov AM, Kotov VL, Lomunov AK, Sergeichev IV (2004) Measurement of the dynamic characteristics of soft soils using the Kolsky method. J Appl Mech Tech Phys 45(4):580–585. https://doi.org/10.1023/B:JAMT.0000030338.66701.e9
Bragov AM, Balandin VV, Lomunov AK, Filippov AR (2006) Determining the impact compressibility of soft soils from reversed test results. Tech Phys Lett 32(6):487–488. https://doi.org/10.1134/S1063785006060101
Bragov AM, Grushevsky GM, Lomunov AK (1994) Use of the Kolsky method for studying shear resistance of soils. DYMAT J 1(3): 253-259
Bragov AM, Gandurin VP, Grushevskii GM, Lomunov AK (1996b) New potentials of kolskii’s method for studying the dynamic properties of soft soils. J Appl Mech Tech Phys, 36(3): 476–481. https://link.springer.com/article/10.1007/BF02369791
Bragov AM, Demenko PV, Kruszka L, Lomunov AK, Sergeichev IV (2002) Évaluation de la compressibilité dynamique et de la résistance aucisaillement pour une large gamme de pressions et de vitesses de déformation Investigation of dynamic compressibility and shear resistance of soft soils in a wide range of strain rate and pressure. In: Fifth European conference “Numerical methods in geotechnical engineering NUMGE, Mestat (ed.) 2002, Presses de l’ENPC/LCPC, Paris, pp 909–917
Bragov AM, Lomunov AK, Sergeichev IV, Tsembelis K, Proud WG (2008) Determination of physicomechanical properties of soft soils from medium to high strain rates. Int J Impact Eng 35(9):967–76. https://doi.org/10.1016/j.ijimpeng.2007.07.004
Bragov AM, Balandin VV, Igumnov LA, Кotov VL, Kruszka L, Lomunov AK (2018) Impact and penetration of cylindrical bodies into dry and water-saturated sand. Int J Imp Eng 122:197–208 (2018)
Buharev YN, Gandurin VP (1995) Forces acting on a sharp cone in the non-stationary stage of penetration into water and soil (in Rus.). Appl Probl Strength Plast. (53): 46–55
Buharev YN, Gandurin VP, Korablev AE, Morozov VA, Himovich MI (1991) An experimental study of the penetration of an undeformable striker into clay and snow (in Rus.). Appl Probl Strength Plast: 99–106
Buharev YN, Korablev AE, Himovich MI (1995) Experimental determination of shear stresses on the surface of the impactor during dynamic penetration into the soil (In Rus). Mech Solids (2), C:186–188
Chapman DJ, Tsembelis K, Proud WG (2006) The behavior of water saturated sand under shock-loading. In: Proceedings of the 2006 SEM annual conference and exposition on experimental and applied mechanics., vol 2. pp 834–840
Dayal U, Allen JH, Reddy DV (1980) Low velocity projectile penetration of clay. J Geotherm Eng Div N 8:919–937
Dianov MD, Zlatin NA, Mochalov SM et al. (1977) Shock compressibility of dry and water saturated sand. Appl Phys Lett 2, 207–208
Dyanov DY, Kotov VL (2020) Determination of nonlinear strength characteristics of sandy soil based on the grigoryan soil model. Probl Strength Plast 82:471–482 (2020). https://doi.org/10.32326/1814-9146-2020-82-4-471-482. (In Russian)
Gang Z, Yunliang L, Jin L, Zutang W, Ke W, Jiyong J, Shunshun T, Bingwen Q, Yurong Z, Xiangrong Z (2019) Dynamic behavior of clay with different water content under planar shock conditions. Int. J Imp Eng 129: 57–65. ISSN 0734–743X. https://doi.org/10.1016/j.ijimpeng.2019.03.001
Grigoryan SS (1960) Ob osnovnykh predstavleniyakh dinamiki gruntov [Basic concepts of soil dynamics]. Prikladnaya Matematika i Mekhanika [J. Appl. Math. Mech.], 24(6):1057–1072 (In Russian)
He Y-X, Luan G-B, Zhu Z-W (2010) Dynamic constitutive modeling of partially saturated clay under impact loading. Int J Nonlinear Sci & Numer Simul, 11:195–199. https://doi.org/10.1515/IJNSNS.2010.11.S1.195
Kolsky H (1949) An investigation of the mechanical properties of materials at very high rates of loading. Proc Phys Soc Lond B 62:676–700
Lagunov VA, Stepanov VA (1963) Measurements of the dynamic compressibility of sand under high pressures. Zh Prikl Mekh Tekhn Fiz (J Appl Mech Tech Phys) 1:88–96. (Engl. Transl.)
Li Y, Zhu Y, Zhang X, Li J, Wu K, Jing J, Tan S, Zhou G (2018) Dynamic behavior of remolded loess under planar shock conditions. Int J Impact Eng 111:236–243. ISSN 0734–743X,https://doi.org/10.1016/j.ijimpeng.2017.09.016.
LS-DYNA Keyword User’s Manual, vol II, Material models, LS-DYNA R11 10/12/18 (r:10572). Livermore Software Technology Corporation (LSTC, pp 178–182)
Luo H, Cooper WL, Lu H (2014) Effects of particle size and moisture on the compressive behavior of dense Eglin sand under confinement at high strain rates. Int J Imp Eng 65:40–55. https://doi.org/10.1016/j.ijimpeng.2013.11.001
Martin BE, Chen W, Song B, Akers SA (2009) Moisture effects on the high strain-rate behavior of sand. Mech Mater 41:786–798. https://doi.org/10.1016/j.mechmat.2009.01.014
Martin BE, Kabir ME, Chen W (2013) Undrained high-pressure and high strain-rate response of dry sand under triaxial loading. Int J Imp Eng 54:51–63. https://doi.org/10.1016/j.ijimpeng.2012.10.008
Omidvar M, Iskander M, Bless S (2014) Response of granular media to rapid penetration. Int J Imp Eng 66:60–82
Omidvar M, Iskander M, Bless S (2012) Stress-strain behavior of sand at high strain rates. Int J Imp Eng., 49:192–213. ISSN 0734–743X. https://doi.org/10.1016/j.ijimpeng.2012.03.004
Song B, Chen W, Luk V (2009) Impact compressive response of dry sand. Mech Mater 41:777–785. https://doi.org/10.1016/j.mechmat.2009.01.003
Veldanov VA, Markov VA, Pusev VI, Ruchko AM, Sotskii MY, Fedorov SV (2011) Computation of non-deformable striker penetration into low strength obstacles using piezoelectric accelerometry data. Tech Phys 56(7):992–1002. https://doi.org/10.1134/S1063784211070231
Yang R, Chen J, Yang L, Fang S, Liu J (2017) An experimental study of high strain-rate properties of clay under high consolidation stress. Soil Dyn Earth Eng 92:46–51. https://doi.org/10.1016/j.soildyn.2016.09.036
Zel’Dovich YB, Raizer YP (2002) Physics of shock waves and high-temperature hydrodynamic phenomena. Dover Publications; Annotated edition. ISBN-10 0486420027, ISBN-13 978–0486420028, p 944
Acknowledgements
This work was supported by the Russian Science Foundation (grant no. 22-19-00138).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Balandin, V.V., Balandin, V.V., Bragov, A.M., Igumnov, L.A., Konstantinov, A.Y., Kotov, V.L. (2023). Identification and Verification of the Soil Medium S. S. Grigoryan’s Model for Dry Clay. In: Altenbach, H., Eremeyev, V. (eds) Advances in Linear and Nonlinear Continuum and Structural Mechanics. Advanced Structured Materials, vol 198. Springer, Cham. https://doi.org/10.1007/978-3-031-43210-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-031-43210-1_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-43209-5
Online ISBN: 978-3-031-43210-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)