Abstract:
We study the choice of parameters in a transversally isotropic elastic model describing linear deformation of the geomaterials, as well as the analytical and numerical methods for solving the corresponding dynamic equations.
Citation:
B. D. Annin, “A Transversally Isotropic Elastic Model of Geomaterials”, Sib. Zh. Ind. Mat., 12:3 (2009), 5–14; J. Appl. Industr. Math., 4:3 (2010), 299–308
This publication is cited in the following 19 articles:
Yu. M. GRIGOR'EV, A. M. YAKOVLEV, “Transversally isotropic elastic material applicable for permafrost rocks: a case study”, jour, 28:2 (2023), 337
D. R. Ardislamova, A. I. Fedorov, “Wellbore Stability in the Bazhenov Formation Considering the Anisotropy of Elastic Properties of Composing Strata”, Izv., Phys. Solid Earth, 59:2 (2023), 301
A. V. Marchenko, “Influence of anisotropic rheology on wave processes in sea ice”, Theoret. and Math. Phys., 211:2 (2022), 665–678
Yuri M. Grigor'ev, Andrei M. Yakovlev, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2528, “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev, 2022, 020045
Karev V., Kovalenko Yu., Ustinov K., “Mechanical and Mathematical, and Experimental Modeling of Oil and Gas Well Stability”: Karev, V Kovalenko, Y Ustinov, K, Geomechanics of Oil and Gas Wells, Advances in Oil and Gas Exploration & Production, Springer International Publishing Ag, 2020, 35–60
Annin B.D., Ostrosablin N.I., “Structure of Elasticity Tensors in Transversely Isotropic Material With Paradox Behavior Under Hydrostatic Pressure”, J. Min. Sci., 55:6 (2019), 865–875
Zhuravlev A.B., Ustinov K.B., “On Values Characterizing the Degree of Elastic Anisotropy of Transversely Isotropic Rocks; Role of Shear Modulus”, Mech. Sol., 54:6 (2019), 958–967
B. D. Annin, N. I. Ostrosablin, “Presentation of the general solution of three-dimensional dynamic equations of a transversely isotropic thermoelastic medium”, J. Appl. Mech. Tech. Phys., 60:2 (2019), 224–233
Olga V. Dudko, Victoria E. Ragozina, Anastasia A. Lapteva, “Mathematical Modeling the Nonlinear 1D Dynamics of Elastic Heteromodular and Porous Materials”, MSF, 945 (2019), 899
Boris D. Annin, Nikolay I. Ostrosablin, Rostislav I. Ugryumov, AIP Conference Proceedings, 2035, 2018, 050003
Anufrieva A.V., Stekhina K.N., Tumakov D.N., Gibadullina E.A., “Eigen-Oscillations of a Transversely Isotropic Elastic Layer Attached to An Isotropic Half-Space”, J. Fundam. Appl. Sci., 9:1, SI (2017), 1450–1461
Chirkunov Yu.A., Belmetsev N.F., “Exact Solutions of Three-Dimensional Equations of Static Transversely Isotropic Elastic Model”, Acta Mech., 228:1 (2017), 333–349
B. D. Annin, N. I. Ostrosablin, “Reflection of plane waves from a rigid wall and a free surface in a transverse isotropic medium”, J. Appl. Industr. Math., 10:1 (2016), 29–36
Annin B.D., Baev L.V., Volchkov Yu.M., “Equation of a Layered Packet with Transverse Shears and Compression Taken Into Account”, Mech. Sol., 49:1 (2014), 59–66
A. V. Anufrieva, K. N. Stekhina, D. N. Tumakov, “O sobstvennykh volnakh transversalno-izotropnogo sloya, sopryazhennogo s izotropnoi poluploskostyu”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 156, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2014, 87–94
Annin B.D., Bel'metsev N.F., Chirkunov Yu.A., “a Group Analysis of the Equations of the Dynamic Transversely Isotropic Elastic Model”, Pmm-J. Appl. Math. Mech., 78:5 (2014), 529–537
Anufrieva A.V., Tumakov D.N., “On Some of the Peculiarities of Propagation of An Elastic Wave Through a Gradient Transversely Isotropic Layer”, Proceedings of the International Conference on 2014 Days on Diffraction (Dd), eds. Motygin O., Kiselev A., Goray L., Kazakov A., Kirpichnikova A., IEEE, 2014, 23–28
Ostrosablin N.I., “Diagonalization of a Three-Dimensional System of Equations in Terms of Displacements of the Linear Theory of Elasticity of Transversely Isotropic Media”, J. Appl. Mech. Tech. Phys., 54:6 (2013), 971–988
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