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Integral representations of the solutions for a bending plate on an elastic foundation

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Summary

The existence of distributional solutions is investigated for boundary integral equaitons associated with the bending of an elastic plate with transverse shear deformation on an elastic foundation.

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References

  1. Constanda, C.: A mathematical analysis of bending of plates with transverse shear deformation. Pitman Res. Notes Math. Ser. 215. Harlow. Longman 1990.

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  2. Lions, J.-L., Magenes, E.: Non-homogeneous boundary value problems and applications, vol. 1. Berlin Heidelberg New York: Springer 1972.

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  3. Chudinovich, I., Constanda, C.: Weak solutions of interior boundary value problems for plates with transverse shear deformation. IMA J. Appl. Math.59, 85–94 (1997).

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  4. Abramowitz, M., Stegun, I.: Handbook of mathematical functions. New York: Dover 1964.

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  5. Chudinovich, I., Constanda, C.: The solvability of boundary integral equations for the Dirichlet and Neumann problems in the theory of thin elastic plates. Math. Mech. Solids (to appear).

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Author notes

  1. I. Chudinovich

    Present address: Department of Mathematics and Mechanics, Kharkov University, Kharkov, Ukraine

  2. C. Constanda

    Present address: Department of Mathematics, University of Strathclyde, Glasgow, UK

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    1. I. Chudinovich
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    2. C. Constanda
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    Chudinovich, I., Constanda, C. Integral representations of the solutions for a bending plate on an elastic foundation. Acta Mechanica 139, 33–42 (2000). https://doi.org/10.1007/BF01170180

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    • DOI: https://doi.org/10.1007/BF01170180

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