Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

Theory of stability of compressible elastoplastic ground

  • 15 Accesses

Abstract

Based on the three-dimensional linearized equations of stability, the deformation process of compressible elastoplastic ground is investigated in the case of small subcritical deformations. In the case of a homogeneous subcritical state, the general solutions of the equations of stability are constructed similarly to [1].

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    A. N. Guz', Stability of Three-Dimensional Deformed Bodies [in Russian], Naukova Dumka, Kiev (1971).

  2. 2.

    D. D. Ivlev, Theory of Ideal Plasticity [in Russian], Nauka, Moscow (1966).

  3. 3.

    V. V. Bolotin, Nonconservative Problems of the Theory of Elastic Instability [in Russian], Fizmatgiz, Moscow (1961).

  4. 4.

    V. V. Novozhilov, Principles of the Nonlinear Theory of Elasticity [in Russian], Gostekhizdat, Moscow (1948).

  5. 5.

    A. N. Sporykhin, “Stability of deformation of elastoviscoplastic bodies,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1967).

  6. 6.

    D. D. Ivlev and G. I. Bykovtsev, Theory of a Reinforced Plastic Body [in Russian], Nauka, Moscow (1971).

  7. 7.

    A. N. Sporykhin and V. G. Trofimov, “Problems of stability of elastoviscoplastic bodies,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1973).

  8. 8.

    M. T. Alimzhanov and L. I. Ershov, Equilibrium Stability of Bodies and Some Problems of the Theory of Rock Pressure. Problems of Mechanics of a Solid Deformed Body, Sudestroenie, Leningrad (1970).

  9. 9.

    P. Row, Theoretical Meaning and the Observed Magnitudes of the Deformation Parameters of Ground, in: Mekhanika [a collection of Russian translations of foreign articles], Mir, Moscow (1975).

Download references

Author information

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 5, pp. 148–153, September–October, 1977.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Sporykhin, A.N. Theory of stability of compressible elastoplastic ground. J Appl Mech Tech Phys 18, 712–716 (1977). https://doi.org/10.1007/BF00859901

Download citation

Keywords

  • Mathematical Modeling
  • Mechanical Engineer
  • Linearize Equation
  • General Solution
  • Industrial Mathematic