Experimental Study and Identification of a Dynamic ‎Deformation Model of Dry Clay at Strain Rates up to 2500 s-1‎

Document Type : Research Paper

Authors

1 National Research Lobachevsky State University of Nizhny Novgorod, 23 Gagarin Avenue, building 6, Nizhny Novgorod 603950, Russian Federation

2 Department of Mechanics of Materials and Structures, Faculty of Civil and Environmental Engineering, Gdansk University of Technology,‎ ‎11/12 Gabriela Narutowicza Street, Gdansk, 80-233, Poland‎

3 Department of Civil and Environmental Engineering and Architecture (DICAAR), University of Cagliari, Via Marengo, 2, 09123 Cagliari, Italy

Abstract

The paper presents the results of an experimental study and numerical simulation of dynamic deformation of dry clay at strain rates of ~103 s-1. The main physical and mechanical characteristics of the clay were determined using the modified Split Hopkinson Pressure Bar method for testing of lowly cohesive media in a rigid cage. Three series of experiments were carried out at strain rates of 1400 s-1, 1800 s-1 and 2500 s-1. The maximum values of the realized in the experiment axial stresses in clay were about 400 MPa and maximum pressures were 250 MPa. Based on the results of the experiments, the dependences of axial stresses on axial deformations σxx, shear stresses on pressure τ-P and pressure on volumetric deformation P-e (curves of volumetric compressibility) were plotted. The shear resistance of clay is noted to be well described by the Mohr-Coulomb law. The obtained deformation diagrams are found to be practically independent of deformation rate. The clay behavior under dynamic loads is shown to be essentially nonlinear. On the basis of the obtained experimental data, a parametric identification of the clay deformation model in the form of Grigoryan's constitutive relation was carried out, which was implemented in the framework of the LS-DYNA software in the form of MAT_SOIL_AND_FOAM model. Using the LS-DYNA computational complex, a numerical simulation of the deformation process of a sample under real experimental conditions was carried out. In the computational experiment, the clay behavior was described by the identified model. Good agreement was obtained between numerical and experimental results.

Keywords

Main Subjects

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[1] Lagunov, V.A., Stepanov, V.A. Measurements of the dynamic compressibility of sand under high pressures, Zh. Prikl. Mekh. Tekhn. Fiz. (J. Appl. Mech. Tech. Phys.), 1, 1963, 88-96 (Engl. Transl.).
[2] Bragov, A.M., Balandin, V.V., Lomunov, A.K., Filippov, A.R. Determining the impact compressibility of soft soils from reversed test results, Tech. Phys. Lett., 32(6), 2006, 487–86. https://doi.org/10.1134/S1063785006060101.
[3] Bragov, A.M., Grushevskii, G.M. Influence of the moisture content and granulometric composition on the shock compressibility of sand, Tech. Phys. Lett., 19, 1993, 385–6.
[4] Arlery, M., Gardou, M., Fleureau, J.M., Mariotti, C. Dynamic behaviour of dry and watersaturated sand under planar shock conditions, Int. J. Impact Eng., 37, 2010, 1–10. https:// doi.org/10.1016/j.ijimpeng.2009.07.009.
[5] Bragov, A.M., Lomunov, A.K., Sergeichev, I.V., Tsembelis, K., Proud, W.G. Determination of physicomechanical properties of soft soils from medium to high strain rates, Int. J. Impact Eng., 35(9), 2008, 967–76.
[6] Song, B., Chen, W., Luk, V. Impact compressive response of dry sand, Mech. Mater., 41, 2009, 777–85. https://doi.org/10.1016/j.mechmat.2009.01.003.
[7] Martin, B.E., Chen, W., Song, B., Akers, S.A. Moisture effects on the high strain-rate behavior of sand, Mech. Mater., 41, 2009, 786–98. https://doi.org/10.1016/j.mechmat. 2009.01.014.
[8] Martin, B.E., Kabir, M.E., Chen, W. Undrained high-pressure and high strain-rate response of dry sand under triaxial loading, Int. J. Impact Eng., 54, 2013, 51–63. https://doi.org/10.1016/j.ijimpeng.2012.10.008.
[9] Chapman, D.J., Tsembelis, K., Proud, W.G. The behavior of water saturated sand under shock-loading, Proceedings of the 2006 SEM annual conference and exposition on experimental and applied mechanics, 2, 2006, 834-40.
[10] Luo, H., Cooper, W.L., Lu, H. Effects of particle size and moisture on the compressive behavior of dense Eglin sand under confinement at high strain rates, Int. J. Impact Eng., 65, 2014, 40–55. https://doi.org/10.1016/j.ijimpeng.2013.11.001.
[11] Dianov, M.D., Zlatin, N.A., Mochalov, S.M., et al. Shock compressibility of dry and watersaturated sand, Sov. Tech. Phys. Lett., 2, 1977, 207–8.
[12] Bragov, A.M., Grushevsky, G.M., Lomunov, A.K. Use of the Kolsky method for studying shear resistance of soils, DYMAT J., 1(3), 1994, 253-259.
[13] Bragov, A.M., Grushevsky, G.M., Lomunov, A.K. Use of the Kolsky Method for Confined Tests of Soft Soils, Exp. Mech., 36, 1996, 237-242.
[14] Bragov, A.M., Kotov, V.L., Lomunov, A.K., Sergeichev, I.V. Measurement of the dynamic characteristics of soft soils using the Kolsky method, J. Appl. Mech. Tech. Phys., 45(4), 2004, 580–5. https://doi.org/10.1023/B:JAMT.0000030338.66701.e9.
[15] Bragov, A.M., Iuzhina, T.N., Lomunov, A.K., Igumnov, L., Belov, A., Eremeyev, V.A. Investigation of Wood Properties at Elevated Temperature, J. Appl. Comput. Mech., 8(1), 2022, 298-305.
[16] Omidvar, M., Iskander, M., Bless, S. Stress-strain behavior of sand at high strain rates, Int. J. Impact Eng., 49, 2012, 192-213. https://doi.org/10.1016/j.ijimpeng.2012.03.004.
[17] Yang, R., Chen, J., Yang, L., Fang, S., Liu, J. An experimental study of high strain-rate properties of clay under high consolidation stress, Soil Dyn. Earth. Eng., 92, 2017, 46–51.
[18] He, Y.X., Luan, G.B., Zhu, Zh.W. Dynamic Constitutive Modeling of Partially Saturated Clay under Impact Loading, Int. J. Nonlin. Sci. Num. Simul., 11, 2010, 195-199.
[19] Gang, Z., Li, Y., Jin, L., Wu, Z., Wu K., Jing, J., Tan, S., Qian, B., Zhu, Y., Zhang, X. Dynamic behavior of clay with different water content under planar shock conditions, Int. J. Impact Eng., 129, 2019, 57-65. https://doi.org/10.1016/j.ijimpeng.2019.03.001.
[20] Li, Y., Zhu, Y., Zhang, X., Li, J., Wu, K., Jing, J., Tan, S., Zhou, G. Dynamic behavior of remolded loess under planar shock conditions, Int. J. Impact Eng., 111, 2018, 236-243. https://doi.org/10.1016/j.ijimpeng.2017.09.016.
[21] Bragov, A.M., Gandurin, V.P., Grushevskii, G.M., Lomunov, A.K. New Potentials of Kol’skii’s Method for Studying the Dynamic Properties of Soft Soils, J. Appl. Mech. Tech. Phys., 36(3), 1996, 476-481. https://doi.org/10.1007/BF02369791.
[22] Bragov, A.M., Demenko, P.V., Kruszka, L., Lomunov, A.K., Sergeichev, I.V. 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, Fifth European Conference “Numerical Methods in Geotechnical Engineering” NUMGE, Mestat (ed.), Presses de l’ENPC/LCPC, Paris, 2002.
[23] Kolsky, H. An investigation of the mechanical properties of materials at very high rates of loading, Proc. Phys. Soc., Lond. B, 62, 1949, 676-700.
[24] Belyaev, N.M. Strength of materials, Moscow, Nauka, 1976.
[25] Zeldovich, Ya.B., Raizer, Yu.P. Physics of shock waves and high-temperature hydrodynamic phenomena, Courier Corporation, 2002.
[26] Grigoryan, S.S. Ob osnovnykh predstavleniyakh dinamiki gruntov [Basic concepts of soil dynamics], Prikladnaya Matematika i Mekhanika [J. Appl. Math. Mech.], 24(6), 1960, 1057–1072 (In Russian).
[27] Bazhenov, V.G., Balandin, V.V., Grigoryan, S.S., Kotov, V.L. 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, 2014, 98–115 (In Russian).
[28] LS-DYNA Keyword User’s Manual, Vol. II, Material Models, LS-DYNA R11 10/12/18 (r:10572), Livermore Software Technology Corporation (LSTC, p.178-182)
[29] Dyanov, D.Yu., Kotov, V.L. Determination of Nonlinear Strength Characteristics of Sandy Soil Based on the Grigoryan Soil Model, Problems of Strength and Plasticity, 82, 2020, 471-482. https://doi.org/10.32326/1814-9146-2020-82-4-471-482.