A solution procedure for laplace’s equation on multiply connected circular domains

Journal of Applied Mechanics, Transactions ASME

Volumn 59, Issue 2, 1992, Pages 398-404

  Bird, M D ^a   Steele, C R ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84964024138     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2899533     Document Type: Article

References (13)

1. Abramowitz, M., and Stegun, I., 1965, Handbook of Mathematical Functions, Dover Publications, New York.
2. Bird, M. D., and Steele, C. R., 1991, “A Separated Solution Procedure for Bending of Circular Plates with Circular Holes,” Applied Mechanics Review, Vol. 44, Part 2, No. 10.
3. Honein, E., Honein, T., and Herrmann, G., 1991, “On Two Circular Inclusions in Harmonic Problems,” J. Quarterly of Applied Mechanics, to appear.
4. Jaswon, M. A., 1963, “Integral Equation Methods in Potential Theory,” Proceedings of the Royal Society, Vol. A275, pp. 23-34.
5. Jirousek, J., 1978, “Basis for Development of Large Finite Elements Locally Satisfying all Field Equations,” Computer Methods in Applied Mechanics and Engineering, Vol. 14, pp. 65-92.
6. Jirousek, K., and Venkatesh, A., 1989, “A Simple Stress Error Estimator for Hybrid-Tref fz p-Version Elements,” International Journal for Numerical Methods in Engineering, Vol. 28, pp. 221-236.
7. Mansouri, S. A., 1991, “Elasto-Plastic Nonlinear Analysis of Nozzle-Cylinder Intersections Subjected to Internal and External Loads,” Ph.D. Thesis, University of Illinois, Urbana-Champaign, Illinois.
8. Naghdi, A. K., 1991, “Bending of a Perforated Circular Cylindrical Cantilever,” to appear in International Journal of Solids and Structures.
9. Simos, N., and Sadegh, A. M., 1989, “Self-Equilibrated Singular Solutions of a Complete Spherical Shell: Classical Theory Approach,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 56, pp. 105-112.
10. Sokolnikoff, S., 1956, Mathematical Theory of Elasticity, McGraw-Hill, New York.
11. Steele, C. R., and Steele, M. L., 1983, “Stress Analysis of Nozzles in Cylindrical Vessels with External Load,” ASME Journal of Pressure Vessels and Piping, Vol. 105, pp. 191-200.
12. Twersky, V., 1953, “Multiple Scattering of Waves by Planar Random Distributions of Cylinders and Bosses,” Institute of Mathematical Sciences, NYU, Report EM58.
13. Twersky, V., 1962, “Multiple Scattering of Waves and Optical Phenomena,” Journal of the Optical Society of America, Vol. 52, pp. 145-171.