Young's modulus interpreted from plane compressions of geomaterials between rough end blocks

International Journal of Solids and Structures

Volumn 36, Issue 31-32, 1999, Pages 4963-4974

  Chau, K T ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIVE STRESS; FRACTURE; FRICTION; POISSON RATIO; STRAIN;

GEOMATERIALS; PLANE COMPRESSIONS;

ELASTIC MODULI;

COMPRESSION; PLANE STRAIN; YOUNG MODULUS;

EID: 0344564106     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(98)00274-1     Document Type: Article

References (37)

1. Al-Chalabi, M., 1972. Discussion of S.D. Peng's paper 'On stresses within elastic cylinders loaded uniaxially and triaxially.' Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 9, 665.
2. Al-Chalabi, M., Huang, C.L., 1974. Stress distribution within circular cylinders in compression. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 11, 45-56.
3. Al-Chalabi, M., McCormick, F.J., Huang, C.L., 1974. Strain distribution within compressed circular cylinders. Experimental Mech. 14, 497-501.
4. Ariaratnam, S.T., Dubey, R.N., 1969. Some cases of bifurcation in elastic-plastic solids in plane strain. Quart. Appl. Math. 27, 349-358.
5. Balla, A., 1960a. A new solution of the stress conditions in triaxial compression. Acta Tech. Hung. 28, 349-387.
6. Balla, A., 1960b. Stress conditions in triaxial compression. Proc. ASCE 86 (SM6), 57-84.
7. Bardet, J., 1991. Analytical solutions for the plane-strain bifurcation of compressible solids. J. Appl. Mech. 58, 651-657.
8. Brady, B.T., 1971. An exact solution to the radially end-constrained circular cylinder under triaxial loading. Int. J. Rock Mech. Min. Sci. 8, 165-178.
9. Brown, E.T., 1974. Fracture of rock under uniform biaxial compression. Advances in Rock Mechanics, Proc. 3rd Congr. ISRM, Denver, Colorado, pp. 111-117.
10. Chau, K.T., 1994. Halfspace instabilities and short wavelength bifurcations in cylinders and rectangular blocks. J. Appl. Mech. 61, 742-744.
11. Chau, K.T., 1997. Young's modulus interpreted from compression tests with end friction. J. Eng. Mech. ASCE 123, 1-7.
12. Chau, K.T., 1998. Author's closure to Discussion by S. Watanabe on 'Young's modulus interpreted from compression tests with end friction.' J. Eng. Mech. ASCE 124, 1171-1174.
13. Chau, K.T., Rudnicki, J. W., 1990. Bifurcations of compressible pressure-sensitive materials in plane strain tension and compression. J. Mech. Phys. Solids 38, 875-898.
14. Drescher, A., Vardoulakis, L., Han, C., 1990. A biaxial apparatus for testing soils. Geotech. Testing J. ASTM 13, 226-234.
15. Dubey, R.N., 1975. Thick Body Bifurcations of Elastic and Elastic/Plastic Solids in Plane Strain: A Correlation Study Using Principal Axes Technique. Special Publication, Solid Mechanics Division, University of Waterloo.
16. Edelman, F., 1949. On the compression of a short cylinder between rough end-blocks, Quart. Appl. Math 7, 334-337.
17. Filon, L.N.G., 1902. On the equilibrium of circular cylinders under certain practical systems of load. Phil. Trans. R. Soc. Lond. Series A 198, 147-233.
18. Greenberg, H.J., Truell, R., 1948. On a problem in plane strain. Quart. Appl. Math 6, 53-62.
19. Hill, R., Hutchinson, J.W., 1975. Bifurcation phenomena in the plane tension test. J. Mech. Phys. Solids 23, 239-264.
20. Jaeger, C.J., Cook, N.G.W., 1979. Fundamentals of Rock Mechanics, 3rd ed. Chapman and Hall, London.
21. Karasudhi, P., 1991. Foundations of Solid Mechanics. Kluwer Academic Publishers, Dordrecht.
22. Labuz, J.F., Bridell, J.M., 1993. Reducing frictional constraint in compression testing through lubrication. Int. J. Rock. Mech. Min. Sci. & Geomech. Abstr. 30, 451-455.
23. Labuz, J.F., Dai, S.-T., Papamichos, E., 1996. Plane-strain compression of rock-like materials. Int. J. Rock. Mech. Min. Sci. & Geomech. Abstr. 33, 573-584.
24. Needleman, A., 1979. Non-normality and bifurcation in plane strain tension and compression. J. Mech. Phys. Solids 27, 231-254.
25. Ord, A., Vardoulakis, I., Kajewski, R., 1991. Shear band formation in Gosford sandstone. Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. 28, 397-409.
26. Peng, S.D., 1971. Stresses within elastic circular cylinders loaded uniaxially and triaxially. Int. J. Rock Mech. Min. Sci. 8, 339-432.
27. Peng, S.D., 1973. Reply to discussion by M. Al-Chalabi 'On stresses within elastic cylinders loaded uniaxially and triaxially.' Int. J. Rock Mech. Min Sci. & Geomech. Abstr. 10, 761-762.
28. Pickett, G., 1994. Application of the Fourier method to the solution of certain boundary problems in the theory of elasticity. J. Appl. Mech. ASME 66, A176-A182.
29. Prager, W., Synge, J.L., 1947. Approximation in elasticity based on the concept of function space. Quart. Appl. Math. 5, 241-269.
30. Rudnicki, J. W., Rice, J.R., 1975. Conditions for the localization of deformation in pressure-sensitive dilatant materials. J. Mech. Phys. Solids 23, 371-394.
31. Stavropoulou, V.G., 1982. Behavior of brittle sandstone in plane-strain conditions. Proc. 23rd U.S. Symp. Rock Mech. Berkeley, California, pp. 351-358.
32. Tillard-Ngan, D., Desrues, J., Raynaud, S., Mazerolle, F., 1992. Strain localization in the Beaucaire Marl. In: Symposium on Mechanical Structure and Behaviour of Geomaterials, Nancy, France.
33. Vardoulakis, I., 1981. Bifurcation analysis of the plane strain rectilinear deformation on dry sand samples. Int. J. Solids Structures 17, 1085-1011.
34. Vardoulakis, I., Goldscheider, M., 1981. Biaxial apparatus for testing shear bands in soils. Proc. 10th Int. Conf. Soil Mech. Found. Engng., Stockholm, Balkema, Rotterdam, pp. 819-824.
35. Wawersik, W.R., Rudnicki, J.W., Olsson, W.A., Holcomb, D.J. and Chau, K.T., 1990. Localization of deformation in brittle rock: Theoretical and laboratory investigation. In: Shah, S.P., Swartz, S.E., Wang, M.L., (Eds) Micromechanics of Failure of Quasi-brittle Materials. Elsevier, pp. 115-124.
36. Watanabe, S., Discussion on 'Young's modulus interpreted from compression tests with end friction.' J. Eng. Mech. ASCE 124, 1170-1171.
37. Young, N.J.B., 1976. Bifurcation phenomena in the plane compression test. J. Mech. Phys. Solids 24, 77-91.