Prediction of Progressive Failure in Heavily Overconsolidated Slope
Publication: Journal of Geotechnical Engineering
Volume 116, Issue 9
Abstract
A theoretical solution for the subcritical growth of a crack in a quasi‐brittle solid is applied to predict the time for progressive failure to develop in a heavily overconsolidated clay slope. The solution utilizes the principles of delayed fracture in a linear viscoelastic plastic quasi‐brittle material to determine the initiation time and rate of propagation of the failure surface in terms of the loading, material properties, and boundary conditions. A hypothetical example of a slope 17 m high in an overconsolidated soil, using the actual properties of an overconsolidated soil, is given to illustrate the method of solution. An excavation at the toe of the slope causes an overstressed zone from which a crack is assumed to be initiated along the failure surface. The initiation time and the rate of crack propagation are in accordance with the theory of fracture mechanics, in which creep plays a dominant role. The residual shear strength is used along the crack surface and the peak shear strength is used along the remainder of the failure surface to determine the factor of safety against slope‐stability failure.
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References
1.
Bishop, A. W. (1967). “Progressive failure with special reference to mechanisms causing it.” Proc. Geotech. Conf., Norwegian Qeotechnical Institute, 2, 142–150.
2.
Bjerrum, L. (1967). “Progressive failure in slopes of overconsolidated plastic clays and clay shales.” J. Soil Mech. and Found. Engrg., ASCE, 93(5), 3–49.
3.
Blight, G. E. (1963). “Time rate of heave of structures on expansive clays.” Moisture in soils beneath covered areas, Butterworth Publishers, Stoneham, Mass.
4.
Broberg, K. B. (1982). “The foundations of fracture mechanics.” Engrg. Fracture Mech., 16(4), 497–515.
5.
Burland, J. B., Longworth, T. I., and Moore, J. F. A. (1977). “A study of ground movement and progressive failure caused by a deep excavation in oxford clay.” Geotechnique, London, England, 27(4), 557–591.
6.
Cavounidis, S., and Sotiropoulos, E. (1980). “Hypothesis for progressive failure in a Marl.” J. Geotech. Engrg. Div., ASCE, 106(6), 659–671.
7.
Christian, J. T., and Whitman, R. V. (1969). “A model for progressive failure.” Proc. 7th Int. Conf., Soil Mech. and Found. Engrg., Univ. of Mexico, 2, 541–545.
8.
Forsyth, P. J. E. (1961). “A two‐stage process of fatigue crack growth.” Proc., Crack Propagation Symp., Cranfield.
9.
Hills, D. A., and Ashelby, D. W. (1980). “Combined fatigue crack propagation predictions using mode I data.” Engrg. Fracture Mech., 13(3), 589–594.
10.
Hilton, T. D., and Hutchinson, J. W. (1971). “Plastic intensity factors for cracked plates.” Engrg. Fracture Mech., 3(4), 435–451.
11.
Huang, Y. H. (1983). Stability analysis of earth slopes. Van Nostrand Reinhold Co. Inc., New York, N.Y.
12.
Ingraffea, A. R., and Schmidt, R. A. (1978). “Experimental verification of a fracture mechanics model for tensile strength prediction of Indiana limestone.” Proc. 19th U.S. Symp. on Rock Mech., Univ. of Nevada, 247–260.
13.
Ingraffea, A. R. (1983). Numerical modeling of fracture propagation, Rock fracture mechanics. Springler‐Verlag, New York, N.Y., 150–208.
14.
Irwin, G. R. (1958). “Fracture mechanics.” Proc. First Symp. on Naval Struct. Mech., Macmillan Publishing Co., New York, N.Y.
15.
Morgenstern, N. R. (1968). “Shear strength of stiff clay.” Proc. Geotech. Conf., Norwegian Geotechnical Institute, 2, 59–69.
16.
Nelson, J. D., and Thompson, E. G. (1977). “A theory of creep failure in over‐consolidated clay.” J. Geotech. Engrg., ASCE, 103(11), 147–152.
17.
Palmer, A. C., and Rice, J. R. (1973). “The growth of slip surfaces in the progressive failure of overconsolidated clay.” Proc. Royal Society Series A, 332, 527–548.
18.
Rice, J. R. (1973). “The initiation and growth of shear bands.” Symp. on Plasticity and Soil Mech. A. C. Palmer, ed., Cambridge University Press, Cambridge, England, 263–274.
19.
Schmidt, R. A., and Rossmanith, H. P. (1983). “Basics of rock fracture mechanics.” Rock fracture mechanics, H. P. Rossmanith ed., Springer‐Verlag, New York, N.Y., 1–29.
20.
Skempton, A. W. (1964). “Longterm stability of clay slopes.” Geotechnique, London, England, 14(2), 77–101.
21.
Skempton, A. W., and Petley, D. J. (1968). “Discontinuities in stiff clays.” Proc. Geotech. Conf., Norwegian Geotechnical Institute, 2.
22.
“Standard method of test for plane‐strain fracture toughness of metallic materials.” (1985). ASTM manual standards (ASTM designation E‐399‐83). Amer. Soc. For Testing and Materials, Philadelphia, Pa., Vol. 03.01.
23.
Vaugh, P. R., and Walbanckle, H. J. (1973). “Porepressure changes and delayed fracture of cutting slopes in overconsolidated clay.” Geotechnique, London, England, 23(4), 531–539.
24.
Wilson, S. D. (1970). “Observational data on ground movements related to slope instability.” J. Soil Mech. and Found. Engrg., ASCE, 96(5), 1521–1524.
25.
Wnuk, M. P. (1971). “Subcritical growth of cracks.” Int. J. Fracture, 7(4), 383–406.
26.
Wu, T. H., et al. (1987). “Stability of slopes in red conemaugh shale of Ohio.” J. Geotech. Engrg., ASCE, 113(3), 248–264.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 116 • Issue 9 • September 1990
Pages: 1368 - 1380
Copyright
Copyright © 1990 ASCE.
History
Published online: Sep 1, 1990
Published in print: Sep 1990
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