The fundamental solution for shallow circular cylindrical shells Part II: Numerical computation and software

Goong Chen, Matthew P. Coleman, Philip J. Morris

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The explicit closed form fundamental solution of the elastostatic shallow circular cylindrical shell derived in Part I by Chen et al. [Int. J. Eng. Sci. to appear] is realized numerically. Major difficulties exist in approximating integrals of Hankel functions with irrational functions as arguments on the two-dimensional domain of definition. By analyzing the asymptotic characteristics of those integrals, we decompose the first quadrant of the (x, s)-plane into five regions, and apply appropriate exact, series-truncation, or quadrature algorithms on each region to compute numerical values of the three components of the fundamental solution. Comparisons of errors are tabulated and graphics of solutions are illustrated.

Original languageEnglish (US)
Pages (from-to)1259-1274
Number of pages16
JournalInternational Journal of Engineering Science
Volume38
Issue number11
DOIs
StatePublished - May 1 2000

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Engineering(all)
  • Mechanics of Materials
  • Mechanical Engineering

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