Conclusions
The description considered for the limiting state of granular soils in a three-dimensional stressed state finds experimental confirmation for both a uniform (investigation of specimens) and nonuniform (investigation under edge-problem conditions) stressed state. Use of the generalization outlined for the Coulomb dry-friction law is promising for the solution of limiting-equilibrium problems. To proceed in this direction, a description of the relations between the stresses and strains in soils during their deformation in both the subcritical state and the state of equilibrium is also required in practical computations.
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Literature cited
M. V. Malyshev, "On the effect of moderate principal stress in the strength of soil and slip surfaces," Osn., Fundam. Mekh. Gruntov, No. 1 (1963).
G. M. Lomize, A. L. Kryzhanovskii, and V. F. Petryanin, "Laws governing the development of the stress-strain state of a sandy soil subject to plane strain," Osn., Fundam. Mekh. Gruntov, No. 1 (1972).
M. I. Gorbunov-Posadov, Stability of Foundations on Sandy Beds [in Russian], Gosstroiizdat, Moscow (1962).
M. V. Malyshev, Soil Strength and the Stability of Beds beneath Structures [in Russian], Stroiizdat, Moscow (1980).
N. A. Tsytovich, Soil Mechanics [in Russian], 4th ed., Gosstroiizdat, Moscow (1963).
V. N. Nikolaevskii, "Mechanical properties of soils and plasticity theory," in: Results of Science and Engineering. Mechanics of Solid Deformable Bodies [in Russian], Vol. 6, Moscow (1972).
V. V. Novozhilov, "The physical significance of stress invariants used in plasticity theory," Prikl. Mat. Mekh., 16, No. 5 (1952).
A. L. Kryzhanovskii and Yu. I. Kharin, "The strain state of a bed subject to increasing plate loading," in: Design and Optimization of Components in Engineering Structures [in Russian], Riga Polytechnical Inst. (1980).
Yu. I. Kharin and A. L. Kryzhanovskii, "On the formation of a rigid core in a sandy bed subject to plate compression," in: Performance of Structural Components and Structures [in Russian], Belgorod Technological Inst. (1979).
Yu. N. Murzenko and É. V. Arinina, "Experimental investigations of the variation of strength fields in a sandy bed subject to increasing loading," in: Foundation Beds and Foundations [in Russian], Novocherkassk Polytechnic Inst. (1976).
R. Hill, Mathematical Theory of Plasticity [Russian translation], Gostekhizdat, Moscow (1956).
A. A. Il'yushin, Plasticity. Fundamentals of General Mathematical Theory [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963).
V. S. Sazhin, M. I. Bronshtein, and N. N. Fotieva, "Stress distribution in a foundation bed under a rigid continuous foundation in the presence of complete cohesion at the line of contact," Collection No. 62 of the Scientific-Research Institute of Bases and Underground Structures. Foundation Beds, Foundations, and Underground Structures [in Russian], Stroiizdat, Moscow (1972).
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V. V. Kuibyshev Civil-Engineering Institute, Moscow. Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 2, pp. 24–27, March–April, 1983.
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Kryzhanovskii, A.L., Kharin, Y.I. Use of Coulomb's law in solving problems of the limiting state of foundation beds. Soil Mech Found Eng 20, 74–79 (1983). https://doi.org/10.1007/BF01710556
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DOI: https://doi.org/10.1007/BF01710556