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

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Computational Mechanics ’86

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Summary

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]

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References

  1. Guz A.N.: Stability of three-dimensional deformable bodies. Kiev: Naukova Dumka 1971. (In Russian).

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  2. Guz A.N.: Elastic bodies stability at finite deformations. Kiev: Naukova Dumka 1973. (In Russian).

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  3. Guz A.N.: Foundations of the theory of mine working stability; Kiev: Naukova Dumka 1977.(In Russian).

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  4. Guz A.N.: Stability of elastic bodies under omnidirectional compression. Kiev: Naukova Dumka 1979. (In Russian).

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  5. Guz A.N., Babich I.Yu.: Three-dimensional theory of stability of rods, plates and shells. Kiev: Vyshcha Shkola. 1980. (In Russian).

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  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).

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  7. Guz A.N. (editor) Mechanics of composite materials and structures elements, volumes 1–3. Kiev: Naukova Dumka. 1982–1983. (In Russian).

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Author information

Authors and Affiliations

  1. Institute of Mechanics of the Academy of Sciences of the Ukrainian SSR, Nesterova Street 3, 252057, Kiev, USSR

    A. N. Guz

Authors
  1. A. N. Guz
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Editor information

Editors and Affiliations

  1. Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan

    Genki Yagawa

  2. Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA

    Satya N. Atluri

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© 1986 Springer Japan

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Guz, A.N. (1986). On Numerical Methods in Three-Dimensional Theory of Deformable Bodies Stability. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_54

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  • DOI: https://doi.org/10.1007/978-4-431-68042-0_54

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-68044-4

  • Online ISBN: 978-4-431-68042-0

  • eBook Packages: Springer Book Archive

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