The fundamental solution for shallow circular cylindrical shells - Part II: numerical computation and software Academic Article

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. 2000 Elsevier Science Ltd. All rights reserved.

authors

• Chen, Goong

published proceedings

• INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

author list (cited authors)

• Chen, G., Coleman, M. P., & Morris, P. J.

citation count

• 1

complete list of authors

• Chen, G||Coleman, MP||Morris, PJ

publication date

• July 2000

publisher

• Elsevier  Publisher

published in

• International Journal of Engineering Science  Journal

keywords

• Fundamental Solution
• Numerical Software
• Shallow Circular Cylindrical Shell

Digital Object Identifier (DOI)

• 10.1016/S0020-7225(99)00080-4

start page

• 1259

end page

• 1274

volume

• 38

issue

• 11

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fs0020-7225%2899%2900080-4