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Mathematical Statement of Boundary Conditions for Problems of Three-Dimensional Deformation of Plates

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Abstract

We consider the problem of mathematical statement of boundary conditions on the end surfaces of elastic plates for a model that describes three-dimensional deformation of these bodies. We show that there exist five conditions that have a certain physical meaning and characterize the conditions of fixation of a plate or loading on its end surfaces. We illustrate the results obtained for a circular plate rigidly fixed on its ends and loaded over the lateral surfaces.

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REFERENCES

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Authors and Affiliations

  1. "L'vivs'ka Politekhnika" State University, Lviv

    M. V. Khai

  2. Lviv Department of the Dnepropetrovsk, State University of Railway Transport, Ukraine

    M. D. Hrylyts'kyi

Authors
  1. M. V. Khai
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  2. M. D. Hrylyts'kyi
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Khai, M.V., Hrylyts'kyi, M.D. Mathematical Statement of Boundary Conditions for Problems of Three-Dimensional Deformation of Plates. Journal of Mathematical Sciences 109, 1221–1228 (2002). https://doi.org/10.1023/A:1013744627572

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  • DOI: https://doi.org/10.1023/A:1013744627572

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