An Analytic Algorithm of Stresses for Any Double Hole Problem in Plane Elastostatics

[+] Author and Article Information
Lu-qing Zhang

Engineering Geomechanics Laboratory, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China  

Ai-zhong Lu

Department of Civil Engineering, Shandong University of Science and Technology, Tai’an 271019, China

J. Appl. Mech 68(2), 350-353 (Sep 20, 2000) (4 pages) doi:10.1115/1.1352065 History: Received March 22, 2000; Revised September 20, 2000
Copyright © 2001 by ASME
Topics: Stress , Algorithms
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Howland,  R. C. J., and Knight,  R. C., 1939, “Stress Functions for a Plate Containing Groups of Circular Holes,” Philos. Trans., 238, pp. 357–392.
Green,  A. G., 1940, “General Biharmonic Analysis for a Plate Containing Circular Holes,” Proc. R. Soc. London, Ser. A, 176, pp. 121–139.
Ling,  Chin-bing, 1948, “On the Stresses in a Plate Containing Two Circular Holes,” J. Appl. Phys., 19, pp. 77–82.
Ukadgaonker,  V. G., 1982, “Stress Analysis of a Plate Containing Two Circular Holes Having Tangential Stresses,” AIAA J., 20, pp. 125–128.
Hasebe,  N., Yoshikawa,  K., Ueda,  M., and Nakamura,  T., 1994, “Plane Elastic Solution for the Second Mixed Boundary Value Problem and Its Application,” Archive of Applied Mechanics, 64, pp. 295–306.
Muskhelishvili, N. I., 1953, “Some Basic Problems of Mathematical Theory of Elasticity,” P. Noordhoff, Groningen, The Netherlands.


Grahic Jump Location
The redundant surface forces σρ and τρθ for different iterations
Grahic Jump Location
The problem for two complex holes
Grahic Jump Location
The problem for two circular holes
Grahic Jump Location
The calculating model for any double hole problem




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