A general solution of an infinite elastic plate with an elliptic hole under biaxial loading

International Journal of Pressure Vessels and Piping

Volumn 67, Issue 1, 1996, Pages 95-104

  Gao, Xin Lin ^a  

^a Georgia Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CRACKS; ELASTICITY; LOADS (FORCES); PRESSURE VESSELS; STRESS CONCENTRATION;

DISPLACEMENTS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0030174226     PISSN: 03080161     EISSN: None     Source Type: Journal    
DOI: 10.1016/0308-0161(94)00173-1     Document Type: Article

References (12)

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2. Inglis, C. E., Stresses in a plate due to the presence of cracks and sharp corners. Trans. Inst. Naval Architects, 55 (1913) 219-30.
3. Coker, E. G. & Filon, L. N. G., A Treatise on Photo-elasticity. Cambridge University Press, Cambridge, 1931, pp. 532-54.
4. Stevenson, A. C., Complex potentials in two-dimensional elasticity. Proc. Roy. Soc. Lond., A184 (1945) 129-79.
5. Timoshenko, S. P. & Goodier, J. N., Theory of Elasticity, 3rd edn. McGraw-Hill, New York, 1970, pp. 185-94.
6. Muskhelishvili, N. I., Some Basic Problems of the Mathematical Theory of Elasticity. P. Noordhoff, Groningen, Holland, 1953, pp. 104-56, 139-44, 333-52.
7. Gao, Xin-Lin, The analysis of stress and strain fields as well as the failure behaviour of the elliptically notched plates subjected to biaxial loading. Master's Thesis, East China University of Science and Technology (formerly ECUCT), Shanghai, China, 1989.
8. Gao, Xin-Lin, Wei, Xue-Xia & Wang, Zi-Kung, A general analytical solution of a strain-hardening elasto-plastic plate containing a circular hole subjected to biaxial loading - with applications in pressure vessels. Int. J. Pres. Ves. & Piping, 47 (1991) 35-55.
9. Michell, J. H., On the direct determination of stress in an elastic solid, with application to the theory of plates. Proc. Lond. Math. Soc., 31 (1899) 100-24.
10. Gao, Xin-Lin & Wei, Xue-Xia, A general analytical solution of a strain-hardening elastic-plastic plate with an elliptical hole subjected to equal-biaxial tension. J. Gansu Univ. Technology, 18 (1992) 8-16.
11. Tiffen, R., Uniqueness theorems of two-dimensional elasticity theory. Quart. J. Mech. Appl. Math., 5 (1952) 237-52.
12. Sih, G. C., On the Westergaard method of crack analysis. Int. J. Frac. Mech., 2 (1966) 628-31.