Two-dimensional elastic analysis of doubly periodic circular holes in infinite plane

KSME International Journal

Volumn 16, Issue 5, 2002, Pages 655-665

  Chen, Yi Zhou ^a   Lee, Kang Yong ^b  

^a JIANGSU UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b Yonsei University   (South Korea)

Author keywords

Complex Mixed Boundary Value Problem; Effective Elastic Properties; Notch Problem

Indexed keywords

BOUNDARY VALUE PROBLEMS; DEFORMATION; EIGENVALUES AND EIGENFUNCTIONS; STRESS CONCENTRATION;

CIRCULAR HOLES;

ELASTICITY;

EID: 0038177889     PISSN: 12264865     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03184815     Document Type: Article

References (13)

1. Atsumi, A., 1956, "On the Stresses in a Strip Under Tension and Containing Two Equal Circular Holes Placed Longitudinally," Journal of Applied Mechanics. Vol. 23, pp. 555-562.
2. Chen, Y. Z., 1983, "An Investigation of the Stress Intensity Factor for a Finite Internally Cracked Plate by Using Variational Method," Engineering Fracture Mechanics. Vol. 17, pp. 387-394.
3. Fil'stinsky, L. A., 1964, "Stresses and Displacements in an Infinite Plate Weakened by PeriodicHoles," Applied Mathematics and Mechanics. Vol. 28, pp. 430-441. (in Russian)
4. Hu, H. C., 1955, "On Some Variational Principles in the Theory of Elasticity and Plasticity," Scintia Sinica. Vol. 4, pp. 33-54.
5. Hu, K. X., Chandra, A. and Huang, Y., 1993, "Multiple Void-Crack Interaction," International Journal of Solids and Structures. Vol. 30, pp. 1473-1489.
6. Lekhnitsky, S. G., 1963, Theory of Elasticity of Anisotropic Body, Holden-Day, San Francisco.
7. Muskhelishvili, N. I., 1953, Some Basic Problem of Mathematical Theory of Elasticity, Noordhoof, Netherlands.
8. Neuber, H., 1946, Theory of Notches, Edwards, Michigan.
9. Savin, G. N., 1961, Stress Concentration Around Holes, Pergamon, New York.
10. Sih, S. C., 1978, Stress Analysis of Notch Problem, Noordhoof, Netherlands.
11. Ting, K. and Chen, K. T., 1999, "Yang, W. S.: Applied Alternating Method to Analyze the Stress Concentration Around Multiple Circular Holes in an Infinite Domain," International Journal of Solids and Structures. Vol. 36, pp. 533-556.
12. Tsukrov, I. and Kachanov, M., 1997, "Stress Concentrations and Microfracturing Patterns in a Brittle-Elastic Solid with Interacting Pores of Diverse Shapes," International Journal of Solids and Structures. Vol. 34, pp. 2887-2904.
13. Washizu, K., 1975, Variatinal Methods in Elasticity and Plasticity, Pergamon, Oxford.