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Strain Localization Conditions Under True Triaxial Stress States

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Advances in Bifurcation and Degradation in Geomaterials

Abstract

This work uses a bifurcation approach to develop theoretical predictions for deformation band formation for a suite of true triaxial tests on Castlegate sandstone. In particular, the influence of the intermediate principal stress on strain localization is examined. Using common simplifying assumptions (localization occurs at peak stress, and the failure surface is similar to the yield surface), theoretical predictions captured the overall trends observed experimentally. However, agreement between predicted and observed band orientations for individual specimens was varied. This highlights the importance of detailed data analyses to accurately determine key material parameter values at the inception of localization.

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References

  • P. Baud, V. Vajdova, T.-F. Wong, Shear-enhanced compaction and strain localization: inelastic deformation and constitutive modeling of four porous sandstones. J. Geophys. Res. 111, B12401, (2006). doi:10.1029/2005JB004101

    Article  Google Scholar 

  • T.A. Dewers, K.A. Issen, D.J. Holcomb, W.A. Olsson, Strain localization, elastic-plastic coupling, and constitutive modeling of Castlegate sandstone experimental deformation. J. Geophys. Res. (2010) (in prep)

    Google Scholar 

  • D.J. Holcomb, J.W. Rudnicki, Inelastic constitutive properties and shear localization in Tennessee marble. Int. J. Numer. Anal. Methods Geomech. 25, 109–129 (2001)

    Article  MATH  Google Scholar 

  • M.D. Ingraham, K.A. Issen, D.J. Holcomb, Failure of Castlegate sandstone under true triaxial loading, in Proceedings of the{ 11}thInternational Workshop on Bifurcation and Degradation in Geomaterials, Lake Louise (2010)

    Google Scholar 

  • K.A. Issen, V. Challa, Influence of the intermediate principal stress on the strain localization mode in porous sandstone. J. Geophys. Res. 113, B02103 (2008). doi:10.1029/2005JB004008

    Article  Google Scholar 

  • W.A. Olsson, Theoretical and experimental investigation of compaction bands in porous rock. J. Geophys. Res. 104, 7219–7228 (1999)

    Article  Google Scholar 

  • J.W. Rudnicki, W.A. Olsson, Reexamination of fault angles predicted by shear localization theory. Int. J. Rock Mech. Min. Sci. 35, 512–513 (1998)

    Article  Google Scholar 

  • J.W. Rudnicki, J.R. Rice, Conditions for the localization of deformation in pressure-sensitive dilatant materials. J. Mech. Phys. Solids 23, 371–394 (1975)

    Article  Google Scholar 

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Acknowledgments

The authors gratefully acknowledge funding from the National Science Foundation Award EAR-0711346 to Clarkson University.

Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy’s National Nuclear Security Administration under contract DE-AC04–94AL85000.

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Correspondence to Kathleen A. Issen .

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Issen, K.A., Ingraham, M.D., Dewers, T.A. (2011). Strain Localization Conditions Under True Triaxial Stress States. In: Bonelli, S., Dascalu, C., Nicot, F. (eds) Advances in Bifurcation and Degradation in Geomaterials. Springer Series in Geomechanics and Geoengineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1421-2_40

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  • DOI: https://doi.org/10.1007/978-94-007-1421-2_40

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-1420-5

  • Online ISBN: 978-94-007-1421-2

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