Plastic Bifurcation in the Triaxial Confining Pressure Test

D. Durban; P. Papanastasiou

doi:10.1115/1.1309546

Journal of Applied Mechanics | Volume 67 | Issue 3 | TECHNICAL PAPERS

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TECHNICAL PAPERS

Plastic Bifurcation in the Triaxial Confining Pressure Test

D. Durban, Mem. ASME and P. Papanastasiou

[+] 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

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Variation of characteristic roots γ₂,γ₃ with axial stress σ for different levels of confining pressure p. Results are for Castlegate sandstone and with deformation theory. The roots γ₂,γ₃ are complex conjugates from initial yield onwards up to the ellipticity limit where the equations become hyperbolic.

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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.

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Durban DD, Papanastasiou PP. Plastic Bifurcation in the Triaxial Confining Pressure Test. ASME. J. Appl. Mech. 2000;67(3):552-557. doi:10.1115/1.1309546.

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Plastic Bifurcation in the Triaxial Confining Pressure Test

References

Figures

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.

Levels of effective plastic strain ε_p at bifurcation. Data as in Fig. 2.

Bifurcation stresses. Data as in Fig. 2 but with confining pressure p=20 MPa.

Effective plastic strain at bifurcation. Data as in Fig. 4.

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Plastic Bifurcation in the Triaxial Confining Pressure Test

References

Figures

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.

Levels of effective plastic strain εp at bifurcation. Data as in Fig. 2.

Bifurcation stresses. Data as in Fig. 2 but with confining pressure p=20 MPa.

Effective plastic strain at bifurcation. Data as in Fig. 4.

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

Levels of effective plastic strain ε_p at bifurcation. Data as in Fig. 2.