Skip to main content
Log in

Calculation of the fundamental solution for the theory of shallow shells considering shear deformation

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In this paper, some formulas are derived for the numerical computation of the fundamental solution obtained in ref. [1] and relevant computer methods are also discussed in detail. As an application of the fundamental solution, problems of a concentrated normal force acting on infinite shallow shells having positive, zero and negative Gaussian curvatures are calculated according to the numerical methods given in the paper.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Lü Pin, Huang Mao-guang, The fundamental solution in the theory of shallow shells involving shear deformation,Scientia Sinica (A), 5 (1991), 501–510. (in Chinese)

    Google Scholar 

  2. Abramowitz, M. and I. A. Stegun (Eds.),Handbook of Mathematical Functions, Fifth Printing, New York (1966).

    Google Scholar 

  3. Cody, W. J. and H. C. Thacher, Rational Chebyshev approximations for the exponential interralE 1(x),Math. Comp.,22 (1968), 641–649.

    Article  MATH  MathSciNet  Google Scholar 

  4. Gody, W. J. and H. C. Thacher, Chebyshev approximation for the exponential integralEi(x), Math. Comp.,23 (1969), 289–303.

    Article  MathSciNet  Google Scholar 

  5. Matsui, T., O. Matsuoka, The fundamental solution in the theory of shallow shells,Int. J. Solids Structures,14 (1978), 971–986.

    Article  MATH  Google Scholar 

  6. Lü Pin, Boundary element and complex variable analytic methods for solving plate and shell problems, Ph. D. dissertation, University of Science and Technology of China (1989). (in Chinese)

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by He Fu-bao

The project supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pin, L., Mao-guang, H. Calculation of the fundamental solution for the theory of shallow shells considering shear deformation. Appl Math Mech 13, 537–545 (1992). https://doi.org/10.1007/BF02451517

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02451517

Key words

Navigation