Abstract
This paper presents a solution for the stresses in a perforated circular ring containing a ring of uniformly distributed circular holes. The stress function is constructed by using ring-periodic biharmonic functions. Even and odd solutions are formulated separately. The solution is illustrated by numerical examples of a ring containing six holes under two types of loading.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Coker, E. G. and L. N. G. Filon, Photo-Elasticity, Cambridge University Press, 1931, pp. 374–381.
Ling, C. B. and P. S. Wang, C. B. Ling's Collected Papers, Institute of Mathematics, Academia Sinica, Taiwan, China (1963) 75.
Radkowski, P. P., Proc. of Second U.S. Congress of Appl. Mech. (1955) 277. An abstract appears in J. of Appl. Mech. 21 (1954) A-287.
Howland, R. C. J., Proc. of Cambridge Phil. Soc. 30 (1934) 315.
Ling, C. B., Quarterly of Appl. Math. 5 (1947) 168.
Howland, R. C. J., Proc. of Royal Soc. of London A 148 (1935) 471.
Knight, R. C., Quarterly J. of Math. Oxford Series 5 (1934) 253.
Ling, C. B. and J. Lin, Mathematics of Computation 26 (1972) 801.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ling, Cb. Stresses in a perforated circular ring. Appl. Sci. Res. 29, 99–120 (1974). https://doi.org/10.1007/BF00384135
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00384135