On Numerical Methods in Three-Dimensional Theory of Deformable Bodies Stability

  • A. N. Guz
Conference paper


Constitutive relations of three-dimensional linearized theory of deformable bodies stability (for various models) are presented. They are used in numerical analysis. The application of numerical methods is considered at various stages of analysis of some classes of problems of deformable bodies stability theory. Examples are presented of numerical analysis of these problems with applications to the theory of plates, rods and shells made of composite materials and to the mine workings mechanics. Additional information on related problems is contained in monographs [1–7]


Naukova Dumka Critical Load Compressible Body Generalize Power Series Linear Classical Elasticity 
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  1. 1.
    Guz A.N.: Stability of three-dimensional deformable bodies. Kiev: Naukova Dumka 1971. (In Russian).Google Scholar
  2. 2.
    Guz A.N.: Elastic bodies stability at finite deformations. Kiev: Naukova Dumka 1973. (In Russian).Google Scholar
  3. 3.
    Guz A.N.: Foundations of the theory of mine working stability; Kiev: Naukova Dumka 1977.(In Russian).Google Scholar
  4. 4.
    Guz A.N.: Stability of elastic bodies under omnidirectional compression. Kiev: Naukova Dumka 1979. (In Russian).Google Scholar
  5. 5.
    Guz A.N., Babich I.Yu.: Three-dimensional theory of stability of rods, plates and shells. Kiev: Vyshcha Shkola. 1980. (In Russian).MATHGoogle Scholar
  6. 6.
    Guz A.N., Babich I.Yu.: Three-dimensional problems of elasticity and plasticity theory, volume 4. Three-dimensional theory of deformable bodies stability. Kiev: Naukova Dumka. 1985. (In Russian).Google Scholar
  7. 7.
    Guz A.N. (editor) Mechanics of composite materials and structures elements, volumes 1–3. Kiev: Naukova Dumka. 1982–1983. (In Russian).Google Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • A. N. Guz
    • 1
  1. 1.Institute of Mechanics of the Academy of Sciences of the Ukrainian SSRKievUSSR

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