New analytic solution for the diametral point load strength test on finite solid circular cylinders

International Journal of Solids and Structures

Volumn 38, Issue 9, 2001, Pages 1459-1481

  Chau, K T ^a   Wei, X X ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); DEFORMATION; LOAD TESTING; STRENGTH OF MATERIALS; STRESS ANALYSIS; STRESS CONCENTRATION;

DIAMETRAL POINT LOAD STRENGTH TEST; DISPLACEMENT FUNCTIONS; FINITE SOLID CYLINDERS;

STRUCTURAL ANALYSIS;

EID: 0035254783     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(00)00122-0     Document Type: Article

References (29)

1. Bieniawski, Z.T., 1975. The point test in geotechnical practice. Engng. Geol. 9, 1-11.
2. Broch, E., Franklin, J.A., 1972. The point load strength test. Int. J. Rock Mech. Min. Sci. 9, 669-697.
3. Brook, N., 1980. Size correction for point load testing. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 17, 231-235.
4. Chau, K.T., 1997. Young's modulus interpreted from compression tests with end friction. J. Engng. Mech. ASCE 123 (1), 1-7.
5. Chau, K.T., 1998. Analytic solutions for diametral point load strength tests. J. Eng. Mech. ASCE 124 (8), 875-883.
6. Chau, K.T., Wei, X.X., 1999. Spherically isotropic, elastic spheres subject to diametral point load strength test. Int. J. Solids and Struct. 36 (29), 4473-4496.
7. Chau, K.T., Wong, R.H.C., 1996. Uniaxial compressive strength and point load strength of rocks. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 33 (2), 183-188.
8. Chree, C., 1889. The equations of an isotropic elastic solid in polar and cylindrical co-ordinates, their solution and application. Camb. Phil. Trans. 14, 250.
9. Dougall, J., 1914. An analytic theory of the equilibrium of an isotropic elastic rod of circular section. Trans. Roy. Soc. Edin. 59 (4), 895-978.
10. Filon, L.N.G., 1902. On the elastic equilibrium of circular cylinders under certain practical systems of load. Phil. Trans. Roy. Soc. 198, 147-223.
11. Gradshteyn, I.S., Ryzhik, I.M. 1980. Table of integrals, series, and products. Academic Press, New York, NY.
12. Greminger, M., 1982. Experimental studies of the influence of rock anisotropy on size and shape effects in point-load testing. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 19, 241-246.
13. Hassani, F.P., Scoble, M.J., Whittaker, B.N., 1980. Application of the point load index test to strength determination of rock and proposals for a new size-correction chart. The state of the art in rock mechanics. In: Proceedings of the 21st US Symposium on Rock Mechanics. Rolla, Missouri, pp. 543-553.
14. Hiramatsu, Y., Oka, Y., 1966. Determination of the tensile strength of rock by a compression test of an irregular test piece. Int. J. Rock Mech. Min. Sci. 3, 89-99.
15. ISRM, 1985. Suggested method for determining point load strength. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 22, 53-60.
16. Ogaki, Y., Nakajima, N., 1983. Stress analysis of a circular cylinder of finite length subjected to loads symmetrical to middle plane and to axis of revolution. Sci. Engng. Rev. Doshisha Univ. 23 (4), 195-205.
17. Peng, S.S., 1976. Stress analysis of cylindrical rock discs subjected to axial double point load. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 13, 97-101.
18. Pochhammer, L., 1876. Beitrag zur theorie der biegung des Kreiscylinders. Crelle's J. 81, 33.
19. Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T., 1992. Numerical recipes: the art of scientific computing, second ed. Cambridge University Press, New York.
20. Saito, H., 1952. The axially symmetrical deformation of a short cylinder. Trans. JSME 18 (68), 21-28.
21. Saito, H., 1954. The axially symmetrical deformation of a short cylinder. Trans. JSME 20 (91), 185-190 (in Japanese with English abstract).
22. Sternberg, E., Rosenthal, F., 1952. The elastic sphere under concentrated loads. J. Appl. Mech. ASME 19, 413-421.
23. Watson, G.N., 1944. A Treatise on the Theory of Bessel Functions, second ed. Cambridge University Press, Cambridge.
24. Wei, X.X., 1999. Theoretical stress analyses for rock spheres and cylinders under the point load strength test. Ph.D Dissertation, Hong Kong Polytechnic University.
25. Wei, X.X., Chau, K.T., 1998. Spherically isotropic spheres subject to diametral point load test: analytic solutions. Int. J. Rock Mech. Min. Sci. 35, 4-5.
26. Wei, X.X., Chau, K.T., Wong, R.H.C., 1999. Analytic solution for axial point load strength test on solid circular cylinders. J. Eng. Mech. ASCE 125 (12), 1349-1357.
27. Wijk, G., 1978. Some new theoretical aspects of indirect measurements of the tensile strength of rocks. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 15, 149-160.
28. Wijk, G., 1980. The point load test for the tensile strength of rock. Geotech. Test. J. 3 (2), 49-54.
29. Wong, R.H.C., Chau, K.T., 1998. Patterns of coalescence in a rock-like material containing two parallel inclined frictional cracks under uniaxial compression. Int. J. Rock Mech. Min. Sci. 35 (2), 147-164.