Continuum fracture mechanics of uniaxial compression on brittle materials

International Journal of Solids and Structures

Volumn 35, Issue 31-32, 1998, Pages 4313-4335

  Vardoulakis, Ioannis ^a   Labuz, Joseph F ^b   Papamichos, Euripides ^c   Tronvoll, Johan ^c  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b University of Minnesota   (United States)

^c SINTEF PETROLEUM RESEARCH   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; COMPRESSION TESTING; CONTINUUM MECHANICS; FRACTURE MECHANICS; LOADS (FORCES); ROCK MECHANICS; STRESSES;

CONTINUUM FRACTURE MECHANICS; CONTINUUM THEORY; STRESS DIFFUSION;

SOLIDS;

EID: 0032207310     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00318-1     Document Type: Article

References (33)

1. Abramowitz, M. and Stegun, I. (1964) Handbook Mathematical Functions. Dover.
2. Bell, J. F. (1973) The Experimental Foundations of Solid Mechanics. In Encyclopedia of Physics. Vol. V1a; 1, Sect. 3.3, Springer Verlag.
3. Brace, W. F. and Bombolakis, E. G. (1963) A note on brittle crack growth in compression. J. Geophys Res. 68, 3709-3713.
4. Chau, K. T. (1993) Anti-symmetric bifurcations in a compressible pressure-sensitive circular cylinder under axisymmetric tension and compression. J. Appl. Mech. 60, 282-289.
5. Chen, Wai-Fa (1975) Limit Analysis and Soil Plasticity, Elsevier.
6. Crouch, S. L. and Starfield, A. M. (1983) Boundary Element Methods in Solid Mechanics. George Allen & Unwin, London.
7. Dasenbrock, D., Labuz, J. F. and French, C. W. (1995) Strain softening of concrete in uniaxial compression. Final report to RILEM committee 148-sec, University of Minnesota.
8. Desrues, J., Mokni, M. and Mazerolle, F. (1991) Tomodensitom, trie et la localisation sur les sables. 10th E.C.S.M.F.E., 61-64.
9. Drescher, A. and Vardoulakis, I. (1982) Geometric softening in triaxial test on granular materials. Geotechnique 32, 291-303.
10. Fairhurst, C. and Cook, N. G. W. (1966) The phenomenon of rock splitting parallel to the direction of maximum compression in the neighborhood of a free surface. In Proc. 1st Congr. Int. Soc. Rock Mech., Lisbon 1, 687-692.
11. Hoek, E. and Bieniawski, Z. T. (1965) Brittle fracture in rock under compression. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 10, 713-726.
12. Hoek, E. (1968) Brittle failure of rock. In Rock Mechanics in Engineering Practice, ed. K. G. Stagg and O. C. Zienkiewicz, pp. 99-124. John Wiley.
13. Horii, H. and Nemat-Nasser, S. (1986) Brittle failure in compression: Splitting, faulting and brittle-ductile transition. Phil. Trans. R. Soc. Lond. A.319, 337-374.
14. Hudson, J. A., Brown, E. T. and Fairhurst, C. (1971), Shape of complete stress-strain curve for rock. Proc. 13th Symp. on Rock Mechanics, University of Illinois, Urbana, Ill.
15. Labuz, J. F. and Bridell, J. M. (1993) Reducing factional constraint in compression testing through lubrication. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 30, 451-455.
16. Michalowski, R. L. (1985) Limit analysis of quasi-static pyramidal indentation of rock. Int. J. Rock Mech. Min. Sci & Geomech. Abstr. 22, 31-38.
17. Mohr, O. (1900) Welche Umstaendnde Bedingen die Elastizitaetsgrenze und den Bruch eines Materials? Zeitschrift des Vereines deutschet Ingenieure 44, 1-12.
18. Okui, Y. and Horii, H. (1995) A micromechanics-based continuum theory for microcracking lokalization of rocks under compression. In Continuum Models for Materials with Microstructure, pp. 27-66, Wiley.
19. Palmer, A. C. and Rice, J. R. (1973) The growth of slip surfaces in progressive failure of over-consolidated clay. Proc. Roy. Soc. Lond. A.332, 527-548.
20. Papamichos, E., Labuz, J. F. and Vardoulakis, I. (1994) A surface instability detection apparatus. Rock Mech. and Rock Enrng. 27, 37-56.
21. Papamichos, E., Tronvoll, J., Vardoulakis, I. and Sulem, J. (1995) Investigation of cavity failures for sand production - Phase II. IKU Technical Report.
22. Read, H. E. and Hegemier, G. A. (1984) Strain softening of rock, soil and concrete - A review article. Mechanics of Materials 3, 271-294.
23. Schlangen, E. and Van Mier, J. G. M. (1994). Fracture simulations of concrete and rock using a random lattice. In Computer Methods and Advances in Geomechanics, ed. H. J. Siriwardane and M. M. Zaman, pp. 1641, Balkema.
24. Shah, K. R. and Labuz, J. F. (1995) Damage mechanisms in stressed rock from acoustic emission. J. Geophys. Res. 100(B8), 15,527-15,539.
25. Sulem, J. and Vardoulakis, I. (1990) Bifurcation analysis of the triaxial test on rock specimens. A theoretical model for shape and size effect. Acta Mechanica 83, 195-212.
26. Terzaghi, K. V. (1955) Evaluation of coefficients of subgrade reaction. Geotechnique 5, 297-326.
27. Van Vliet, M. R. A. and Van Mier, J. G. M. (1996) Experimental investigation of concrete fracture under uniaxial compression. Mech. of Cohesive-Frictional Materials 1, 115-127.
28. Vardoulakis, I. (1978) Equilibrium bifurcation of granular earth bodies, In Adv. Anal. Geotech. Instabilities, 13, pp. 65-120. Univ. of Waterloo Press.
29. Vardoulakis, I. and Papamichos, E. (1991) Surface instabilities in elastic anisotropic media with surface-parallel Griffith cracks. Int. J. Rock mech. Min. Sci. and Geomach. Abstr. 28, 163-173.
30. Vardoulakis, I., Exadaktylos, G. and Kourkoulis, S. K. (1998) A gradient theory with surface energy and size effects. J. de Physique IV, in print.
31. Vardoulakis, I. and Sulem, J. (1995) Bifurcation Analysis in Ceomechanics. Blackie Academic and Professional.
32. Waversik, W. R. (1968) Detailed analysis of rock failure in laboratory compression tests. Ph.D Thesis University of Minnesota.
33. Zimmermann, H. (1888) Die Berechnung des Eisenbahn-Oberbaues. Ernst, Berlin.