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TECHNICAL PAPERS

Plastic Bifurcation in the Triaxial Confining Pressure Test

[+] Author and Article Information
D. Durban

Faculty of Aerospace Engineering, Technion, Haifa 32000, Israel

P. Papanastasiou

Schlumberger Cambridge Research Ltd., High Cross, Madingley Road, Cambridge CB3 0EL England

J. Appl. Mech 67(3), 552-557 (Jan 31, 2000) (6 pages) doi:10.1115/1.1309546 History: Received March 09, 1999; Revised January 31, 2000
Copyright © 2000 by ASME
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References

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Sulem,  J., and Vardoulakis,  I., 1990, “Bifurcation Analysis of the Triaxial Test on Rock Specimens: A Theoretical Model for Shape and Size Effect,” Acta Mech., 83, pp. 195–212.
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Papanastasiou,  P., and Durban,  D., 1999, “Bifurcation of Elastoplastic Pressure Sensitive Hollow Cylinders,” ASME J. Appl. Mech., 66, pp. 117–123.
Durban,  D., and Papanastasiou,  P., 1997, “Cylindrical Cavity Expansion and Contraction in Pressure Sensitive Geomaterials,” Acta Mech., 122, pp. 99–122.
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Papanastasiou,  P., and Durban,  D., 1997, “Elastoplastic Analysis of Cylindrical Cavity Problems in Geomaterials,” Int. J. Num. Anal. Meth. Geomech., 21, pp. 121–132.
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Figures

Grahic Jump Location
Variation of characteristic roots γ23 with axial stress σ for different levels of confining pressure p. Results are for Castlegate sandstone and with deformation theory. The roots γ23 are complex conjugates from initial yield onwards up to the ellipticity limit where the equations become hyperbolic.
Grahic Jump Location
Lowest bifurcation stresses for Castlegate sandstone with zero confining pressure (p=0) under axial compression σ. Results are with deformation theory and the ellipticity limit (e.l.) is indicated by a broken line.
Grahic Jump Location
Levels of effective plastic strain εp at bifurcation. Data as in Fig. 2.
Grahic Jump Location
Bifurcation stresses. Data as in Fig. 2 but with confining pressure p=20 MPa.
Grahic Jump Location
Effective plastic strain at bifurcation. Data as in Fig. 4.

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