Summary
Controlled Failure of Hollow Rock Cylinders in Uniaxial Compression
Detailed consideration is given to the behavior of hollow rock cylinders loaded in uniaxial compression. Elastic stress distributions calculated by the finite element method show that radial stresses are considerably lower in hollow than in solid cylinders, and that the uniformity of the stresses can be improved considerably by using loading platens having the same cross-section as the specimen. Servo-controlled uniaxial compression tests carried out on solid and thick-walled cylinders of white Tennessee marble show no essential differences in the behavior of the two specimen types with similar strengths and fracture phenomena being observed. In tests carried out in servo-controlled, stiff, and conventional machines, the progressive formation of large numbers of short subaxial cracks is followed by the development of macrofractures such as slabbing and shearing well past the peak of the stress-strain curve.
Zusammenfassung
Der gesteuerte Bruch hohler Gesteinszylinder unter einachsigem Druck
Das Verhalten hohler Gesteinszylinder unter einachsigem Druck ist eingehend beschrieben. Die Methode der endlichen Elemente ermöglicht die Berechnung der elastischen Spannungsverteilung und zeigt, daß die radialen Spannungen im Hohlzylinder bedeutend geringer sind als im massiven. Der Gebrauch von Druckplatten vom gleichen Querschnitt wie dem der Probe verbessert die Gleichförmigkeit der Spannungen wesentlich.
Servo-gesteuerte einachsige Druckversuche an dichtwandigen hohlen und an massiven Proben von weißem Tennessee-Marmor lassen keine wesentlichen Unterschiede zwischen dem Verhalten der beiden Probenarten erkennen. Ähnliche Festigkeiten und Brucherscheinungen sind im hohlen und massiven Zylinder beobachtet worden. In Versuchen mit servo-gesteuerten starren und in konventionellen Maschinen folgt der progressiven Bildung einer großen Anzahl kurzer, etwa axialer Risse die Entstehung von größeren Brucherscheinungen, wie z. B. Abschalungen und Scherbrüche, und zwar deutlich nach dem Scheitelpunkt der Arbeitslinie.
Résumé
Fracturation contrôlée de cylindres rocheux creux en compression uniaxiale
Une étude détaillée du comportement de cylindres rocheux creux soumis à une compression uniaxiale est faite ici. La répartition des contraintes en milieu élastique déterminée par la méthode des éléments finis a montré que les contraintes radiales étaient beaucoup plus petites dans les cylindres creux que dans les cylindres pleins et que l'uniformité des contraintes pouvait être considérablement améliorée en utilisant des platines de mise en charge ayant la même section que l'éprouvette.
Des essais de compression simple effectués avec une presse asservie sur des cylindres de marbre du Tennessee soit pleins soit à paroi épaisse ne montrent aucune différence notable quand au comportement des deux types d'éprouvettes. La résistance à la rupture et les phénomènes de fracturation se sont avérés comparables dans les deux cas. Au cours des essais effectués avec une presse raide asservie et une presse classique, la formation progressive d'un grand nombre de courtes fissures sub axiales est suivie par le développement de macrofractures telles qu'écaillage et cisaillements une fois dépassé le pic de la courbe effort déformation.
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References
Adams, F. D.: An Experimental Contribution to the Question of the Depth of the Zone of Flow in the Earth's Crust. J. Geol.20 97–118 (1912).
Bieniawski, Z. T.: Mechanism of Rock Fracture in Compression. C. S. I. R. Report MEG 459, Pretoria, South Africa, 1966.
Brace, W. F.: Brittle Fracture of Rocks. In State of Stress in the Earth's Crust, W. R. Judd (Ed.), Elsevier, New York, 111–174 (1964).
Brace, W. F., and E. G. Bombolakis: A Note on Brittle Crack Growth in Compression. J. Geophys. Res.68 3939–3953 (1963).
Bridgman, P. W.: The Failure of Cavities in Crystals and Rocks Under Pressure. Am. J. Sci., Ser. 4, No. 268, 243–268 (1918).
Cook, N. G. W.: An Experiment Proving that Dilatancy is a Pervasive Volumetric Property of Brittle Rock Loaded to Failure. Rock Mechanics2 181–188 (1970).
Dixon, W. J., and F. J. Massey: Introduction to Statistical Analysis, 104, McGraw-Hill, New York 1951.
Fairhurst, C.: Laboratory Measurements of some Physical Properties of Rock. Proceedings of the Fourth Symposium on Rock Mechanics, Penn State Univ., 105–118 (1961).
Filon, L. N. G.: The Elastic Equilibrium of Circular Cylinders Under Certain Practical Systems of Load. Phil. Trans. Roy. Soc., A,198 147–233 (1902).
Fitzpatrick, J.: Biaxial Device for Determining the Modules of Elasticity of Stress-Relief Cores. U. S. Bur. Mines, Rept. Investn., No. 6128 (1962).
Grijavallabshan, C. V.: Stresses in Restrained Cylinder Under Axial Compression. J. Soil Mech Foudns Div Am Soc Civ Engrs.96 (SM 2), 783–787 (1970).
Handin, J., H. C. Heard, and J. N. Magouirk: Effects of the Intermediate Principal Stress on the Failure of Limestone, Dolomite, and Glass at Different Temperatures and Strain Rates. J. Geophys. Res.72 611–640 (1967).
Hardy, H. R.: A Loading System for the Investigation of the Inelastic Properties of Geologic Materials. In Testing Techniques for Rock Mechanics, ASTM STP 402, 232–265 (1966).
Hast, N.: Measuring Stresses and Deformation in Solid Materials. Ingvetensk. Akad. Handl.178 (1943).
Hobbs, D. W.: The Strength of Coal Under Biaxial Compression. Colliery Engng.39 285–290 (1962).
Hoek, E.: Rock Fracture Under Static Stress Conditions. C.S.I.R. Report MEG 383, Pretoria, South Africa, 1965.
Hoskins, E. R.: The Failure of Thick-Walled Hollow Cylinders of Isotropic Rock. Int. J. Rock Mech. Min. Sci.6 (1), 99–125 (1969).
Hoskins, J. R.: Discussion on Hardy, H. R., A Loading System for the Evaluation of the Inelastic Properties of Geologic Materials. In Testing Techniques for Rock Mechanics, ASTM STP 402, 266–270 (1966).
Hudson, J. A., E. T. Brown, and C. Fairhurst: Optimizing the Control of Rock Failure in Servo-Controlled Laboratory Tests. Rock Mechanics3 217–224 (1971).
Jaeger, J. C.: Brittle Fracture of Rocks. In Failure and Breakage of Rock. C. Fairhurst (Ed.), Proceedings of the Eighth Symposium on Rock Mechanics, University of Minnesota, 3–58 (1967).
Jaeger, J. C., and E. R. Hoskins: Rock Failure Under the Confined Brazilian Test. J. Geophys. Res.71 (10), 2631–2659 (1966).
King, L. V.: On the Limiting Strength of Rocks Under Conditions of Stress Existing in the Earth's Interior. J. Geol.20 119–138 (1912).
Kotte, J. J., Z. G. Berces, J. Gramberg, and Th. R. Seldenrath: Stress-Strain Relations and Breakage of Cylindrical Granitic Rock Specimens Under Uniaxial and Triaxial Loads. Int. J. Rock Mech. Min. Sci.6 581–595 (1969).
Mazanti, B. B., and G. F. Sowers: Laboratory Testing of Rock Strength. In Testing Techniques for Rock Mechanics, ASTM STP 402, 207–227 (1966).
Mogi, K.: Some Precise Measurements of Fracture Strength of Rocks Under Uniform Compressive Stress. Felsmechanik und Ingenieurgeologie4 41–55 (1966).
Newman, K., and L. Lachance: The Testing of Brittle Materials Under Uniform Uniaxial Compressive Stress. Proc. Am. Soc. Test Mater.64 1044–1067 (1964).
Obert, L.: Triaxial Method for Determining the Elastic Constants of Stress Relief Cores. U. S. Bur. Mines, Rept. Investn., No. 6490 (1964).
Obert, L., and D. E. Stephenson: Stress Conditions Under Which Core Discing Occurs. Soc. Min. Engrs. Trans., AIME,232 137–244 (1965).
Obert, L., S. L. Windes, and W. I. Duvall: Standardized Tests for Determinating the Physical Properties of Mine Rock. U. S. Bur. Mines, Rept. Investn., No. 3891 (1946).
Paquin, J. A.: Some Aspects of Uniaxial Compression of Rocks. Proceedings of the Second Canadian Rock Mechanics-Symposium, Ottawa, 73–74 (1964).
Pomeroy, C. D., and D. W. Hobbs: The Fracture of Coal Specimens Subjected to Complex Stresses. Steel and Coal, 1124–1133 (1962).
Richards, C. B.: Experiments on the Resistance of Stones to Crushing. Trans. Am. Soc. Civ. Engrs.2 187–192 (1874).
Robertson, E. C.: Experimental Study of the Strength of Rocks. Bull. Geol. Soc. Am.66 1275–1314 (1955).
Rummel, F., and C. Fairhurst: Determination of the Post-Failure Behavior of Brittle Rock Using a Servo-Controlled Testing Machine. Rock Mechanics2 189–204 (1970).
Seldenrath, Th. R., and J. Gramberg: Stress-Strain Relations and Breakage of Rocks. In Mechanical Properties of Non-Metallic Brittle Rocks, W. H. Walton (Ed.), Butterworths, London, 79–105 (1958).
Walter, T. U.: Report on Public Buildings. U. S. House of Representatives Executive Documents, No. 1, Part 1, 32nd Congress, 2nd Session, 581–606 (1852).
Waugh, A. E.: Elements of Statistical Method, 3rd ed., McGraw-Hill, New York 1952.
Wawersik, W. R.: Detailed Analysis of Rock Failure in Laboratory Compression Test. Ph. D. Thesis (unpublished), University of Minnesota (1968).
Wawersik, W. R., and W. F. Brace: Post-Failure Behavior of a Granite and Diabase. Rock Mechanics3 (1971).
Wawersik, W. R., and C. Fairhurst: A Study of Brittle Rock Fracture In Laboratory Compression Experiments. Int. J. Rock Mech. Min. Sci.7, 561–575 (1970).
Wiebols, G. A., J. C. Jaeger, and N. G. W. Cook: Rock Property Tests In A Stiff Testing Machine. Proceedings of the Tenth Symposium on Rock Mechanics, the University of Texas at Austin (1968).
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Brown, E.T., Hudson, J.A., Hardy, M.P. et al. Controlled failure of hollow rock cylinders in uniaxial compression. Rock Mechanics 4, 1–24 (1972). https://doi.org/10.1007/BF01239210
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DOI: https://doi.org/10.1007/BF01239210