Paraboloid failure surface for transversely isotropic materials

Mechanics of Materials

Volumn 31, Issue 6, 1999, Pages 381-393

  Cazacu, O ^a   Cristescu, N D ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPRESSIVE STRESS; FAILURE ANALYSIS; STRESS ANALYSIS; TENSILE STRENGTH; TENSILE STRESS;

ELLIPTIC PARABOLOID FAILURE SURFACES; STRENGTH DIFFERENTIAL EFFECTS; TRANSVERSE ISOTROPY;

ROCK MECHANICS;

EID: 0032636876     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(99)00008-3     Document Type: Article

References (31)

1. Allirot, D., Boehler, J.P., 1979. In: Proceedings of the Fourth International Society of Rock. Mechanics 1, Montreux, Balkema, Rotterdam, pp. 15-22.
2. Attewell B., Sandford M.R. Intrinsic shear strength of a brittle anisotropic rock. I. Experimental and mechanical interpretation. II. Textural data acquisition and processing. III. Textural interpretation of failure. Int. J. Rock. Mech. Min. Sci. 11:1974;423-451.
3. Aubertin, M., Simon, R., 1997. A damage initiation criterion for low porosity rocks. Int. J. Rock. Mech. Min. Sci. and Geomech. Abstr., 34, in press.
4. Beron A.I., Chirkov S.E. Study of strength of rocks under conditions of triaxial non-uniform compression. Nauch. Soobshch. Inst. Gorn. Dela Im. A.A. Skochinskogo. 61:1969;33-38.
5. Boehler J.P., Sawczuk A. On yielding of oriented solids. Acta Mechanica. 27:1977;185-206.
6. Boehler J.P. Lois de comportement anisotrope des milieux continus. Journal deMécanique. 17:1978;153-190.
7. Boehler, J.P., 1987. Yielding and failure of transversely isotropic solids, In: Boehler, J.P. (Ed.), Applications of tensor functions in Solid Mechanics, CISM Courses and Lectures No 292. Springer, Berlin, pp. 3-140.
8. Cazacu O., Cristescu N.D., Shao J.F., Henry J.P. A new anisotropic failure criterion for transversely isotropic solids. Mech. Cohes. Frict. Mater. 3:1998;89-103.
9. Chenevert M.E., Gatlin C. Mechanical anisotropies of laminated sedimentary rocks. Soc. Petrol. Eng. J. 5:1965;67-77.
10. Cowin S.C. On the strength anisotropy of bone and wood. J. Appl. Mech. 46:1979;832-836.
11. Dayre M., Sirieys P.M. Anisotropie des modules élastiques et des résistances à la rupture des roches métamorphiques. C.R. Acad. Sci. Paris. 260:1965;4440-4443.
12. Donath, F.A., 1964. Strength variation and deformational behavior in anisotropic rock. In: Judd, W.R. (Ed.), State of Stress in the Earth's Crust. Elsevier, Amsterdam, pp. 281-297.
13. Donath, F.A. (1972). Effects of cohesion and granularity on deformational behavior of anisotropic rock. In: Doc B.R., Smith, D.K. (Eds.), Studies in Mineralogy and Precambrian Geology, Geological Society of America, Boulder, vol. 135, pp. 95-128.
14. Hill, R., 1948. A theory of yielding and plastic flow of anisotropic metals. In: Proceeding of the Royal Society, London, Ser. A, vol. 193, pp. 281-297.
15. Homand F., Morel E., Henry J.P., Cuxac P., Hammade E. Characterization of the moduli of elasticity of an anisotropic rock using dynamic and static methods. Int. J. Rock. Mech. Min. Sci and Geomech. Abstr. 30:1993;527-535.
16. Jaeger J.C. Shear failure of anisotropic rocks. Geol. Mag. 97:1960;65-72.
17. Labossière P., Neale K.W. Macroscopic failure criteria for fibre-reinforced composite materials. SM Archiv. 12:1987;65-95.
18. Lama, R.D., Vutukuri, V.S., 1978. Handbook on mechanical properties of rocks, vol. II: Testing Techniques and Results, Trans. Tech. Publ., pp. 57-148, 254-282.
19. Liao J.J., Yang M-T., Hsieh H-Y. Direct tensile behavior of transversely isotropic rock. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 34:1997;837-851.
20. Lubliner, J., 1990. Plasticity Theory. Macmillan, New York.
21. McLamore, R., Gray, K.E., 1967. The mechanical behavior of anisotropic sedimentary rocks. J. Eng. Ind., Trans. of the ASME, 89, 62-73.
22. Niandou, H., 1994. Étude du comportement rhéologique et modélisation de l'argilite de Tournemire. Application à la stabilité des ouvrages souterrains, Ph.D. Thesis, USTL, Univérsité de Lille 1.
23. Niandou H., Shao J.F., Henry J.P., Fourmaintraux D. Laboratory investigation of the mechanical behaviour of Tournemire shale. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 34:1997;3-16.
24. Nova R. The failure of transversely anisotropic rocks in triaxial compression. Int. J. Rock. Mech. Min. Sci. and Geomech. Abstr. 17:1980;325-332.
25. Nova R., Zaninetti A. An investigation into the tensile behaviour of a schistose rock. Int. J. Rock Mech. Min. Sci. 27(4):1990;231-242.
26. Pariseau, W.G., 1972. Plasticity theory for anisotropic rocks and soils, In: Proceedings of the Tenth Symposium on Rock Mechanics, AIME, pp. 267-295.
27. Ramamurthy, T., 1993. Strength and modulus responses of anisotropic rocks, In: Hudson, J.A. (Ed.), Comprehensive Rock Engineering. Pergamon Press, Oxford, 1, pp. 313-329.
28. Theocaris P.S. The elliptic paraboloid failure criterion for cellular solids and brittle foams. Acta Mechanica. 89:1991;93-121.
29. Tsai, S.M., Hahn, H.T., 1980. Introduction to composite materials, Technomic Publishing Co, Westport, Connecticut.
30. Tsai S.M., Wu E. A general theory of strength of anisotropic materials. J. Composite Mater. 5:1971;58-80.
31. Wu R.Y., Stachurski Z. Evaluation of the normal stress interaction parameter in the tensor polynomial theory for anisotropic materials. J. Composite Mater. 18:1984;456-463.