Stress concentration around a spherical cavity in a cubic medium

Journal of Strain Analysis for Engineering Design

Volumn 42, Issue 3, 2007, Pages 155-162

  Chiang, Chun Ron ^a  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

Anisotropic material; Cubic crystal; Equivalent inclusion method; Eshelby tensor; Spherical cavity; Stress concentration

Indexed keywords

ANISOTROPY; CRYSTAL STRUCTURE; NUMERICAL METHODS; SHEAR STRESS; TENSILE STRESS;

ANISOTROPIC MATERIAL; CUBIC CRYSTALS; EQUIVALENT INCLUSION METHOD; ESHELBY TENSORS; SPHERICAL CAVITIES;

STRESS CONCENTRATION;

EID: 34547233080     PISSN: 03093247     EISSN: None     Source Type: Journal    
DOI: 10.1243/03093247JSA226     Document Type: Article

References (23)

1. Sternberg, E. Three-dimensional stress concentration. Appl. Mechanics Rev., 1958, 11, 1-4.
2. Neuber, H. and Hahn, H. G. Stress concentration in scientific research and engineering. Appl. Mechanics Rev., 1966, 19, 187-199.
3. Pilkey, W. D. Peterson's stress concentration handbook, 1997 (John Wiley, New York).
4. Lekhnitskii, S. G. Anisotropic plate, 1968 (Gorden and Breach, New York).
5. Green, A. E. and Zerna, W. Theoretical elasticity, 1968 (Oxford University Press, London).
6. Chen, W. T. Axisymmetric stress field around spheroidal inclusions and cavities in a transversely isotropic material. J. Appl. Mechanics, 1968, 35, 770-773.
7. Wilson, R. B. and Cruse, T. A. Efficient implementation of anisotropic three dimensional boundaryintegral equation stress analysis. Int. J. Numer. Meth. Engng, 1978, 12, 1383-1397.
8. Chiang, C. R. Stress concentration around a strongly oblate spheroidal cavity in a transversely isotropic medium. Int. J. Fracture, 2003, 119, L91-L97.
9. Goodier, J. N. Concentration of stress around spherical and cylindrical inclusions and flaws. J. Appl. Mechanics, 1933, 55, 39-44.
10. Kunin, I. A. and Sosnina, E. G. Stress concentration on an ellipsoidal inhomogeneity in an anisotropic elastic medium. J. Appl. Math. Mechanics, 1973, 37, 287-296.
11. Laws, N. The determination of stress and strain concentration at an ellipsoidal inclusion in an anisotropic material. J. Elasticity, 1977, 7, 91-97.
12. Walpole, L. J. The determination of the elastic field of an ellipsoidal inclusion in an anisotropic medium. Math. Proc. Comb. Phil. Soc., 1977, 81, 283-289.
13. Chiang, C. R. Stress concentration around a spherical cavity in a cubic crystal. In Proceedings of the Fourth Australasian Congress on Applied Mechanics, Melbourne, Australia, 2005, pp. 733-738 (The Institute of Materials Engineering Australia Ltd, Melbourne, Australia).
14. Chiang, C. R. Spherical cavity in cubic crystals subjected to all around uniform stress and its application to thermal mismatch stress. In Proceedings of the 29th National Conference on Theoretical and applied mechanics, HsinChu, Taiwan, 2005, pp. E003_1-E003_8 (The Society of Theoretical and Applied Mechanics, Taipei).
15. Chiang, C. R. Thermal mismatch stress of a spherical inclusion in a cubic crystal. Int. J. Fracture, 2006, 139, 313-317.
16. Eshelby, J. D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc. R. Soc. A, 1957, 241, 376-396.
17. Walpole, L. J. Elastic behaviour of composite material, theoretical foundation. Adv. Appl. Mechanics, 1981, 21, 169-242.
18. Kneer, G. Uber die Berechnung der Elastizitatsmoduln vielkristalliner Aggregate mit Textur. Physica Status Solidi, 1965, 9, 825-838.
19. Reid, C. N. Deformation geometry for materials scientists, 1973 (Pergamon, Oxford).
20. Kato, A. Design equation for stress concentration factors of notched strips and grooved shafts. J. Strain Analysis, 1991, 26, 21-28.
21. Gray, T. G. F., Tournery, E, Spence, J., and Brennan, D. Closed-form functions for elastic stress concentration factors in notched bars. J. Strain Analysis, 1995, 30, 143-154.
22. Wang, Q. Z. Simple formulae for the stress concentration factor for two- and three-dimensional holes in finite domains. J. Strain Analysis, 2002, 37, 259-264.
23. Chiang, C. R. Stress concentration factors of edgenotched orthotropic plates. J. Strain Analysis, 1998, 33, 395-398.