Skip to main content

2017 | OriginalPaper | Buchkapitel

The Effect of Rotational and Isotropic Hardening on the Onset of Compaction Bands

verfasst von : Chara Prassa, Sotiris Alevizos, Manolis Veveakis, Yannis F. Dafalias

Erschienen in: Bifurcation and Degradation of Geomaterials with Engineering Applications

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Compaction bands are localized failure patterns that appear in highly porous rock material under the effect of relatively high confining pressure. Being affected mainly by volumetric compression, these bands appear to be almost perpendicular to the most compressive principal stress at a stress state at the so-called “cap” of the yield surface (Issen and Rudnicki, J Geoph Res 105:21529–21536 (2000) [4]). In this study we focus on the mechanism that leads to the onset of compaction bands by using a viscoplasticity model able to describe the post-localization response of these materials. The proposed constitutive framework is based on the overstress theory of Perzyna (Adv Appl Mech 9:243–377 (1966) [7]) and the anisotropic clay plasticity model of Dafalias (Mech Res Commun 13(6):341–347 (1986) [1]) as modified by Dafalias and Taiebat (Geotechnique 63(16):1406–1418 (2013) [2]) which provides not only the necessary “cap” of the yield surface, but introduces a rotational hardening mechanism thus taking into account possible anisotropic phenomena. Following the analysis of Veveakis and Regenauer-Lieb (J Mech Phys Solids 78:231–248 (2015) [8]) we identify the compaction bands as “static” cnoidal wave formations in the medium that occur at a post-yield regime and we study the effect of rotational and isotropic hardening on their onset. Moreover, we determine a theoretical lower limit of confining pressure in triaxial compression tests for the compaction bands to develop.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Dafalias, Y.F.: An anisotropic critical state soil plasticity model. Mech. Res. Commun. 13(6), 341–347 (1986) Dafalias, Y.F.: An anisotropic critical state soil plasticity model. Mech. Res. Commun. 13(6), 341–347 (1986)
2.
Zurück zum Zitat Dafalias, Y.F., Taiebat, M.: Anatomy of rotational hardening in clay plasticity. Geotechnique 63(16), 1406–1418 (2013) Dafalias, Y.F., Taiebat, M.: Anatomy of rotational hardening in clay plasticity. Geotechnique 63(16), 1406–1418 (2013)
3.
Zurück zum Zitat Hill, R.: The Mathematical Theory of Plasticity. Oxford University Press, London (1950)MATH Hill, R.: The Mathematical Theory of Plasticity. Oxford University Press, London (1950)MATH
4.
Zurück zum Zitat Issen, K., Rudnicki, J.: Conditions for compaction bands in porous rock. J. Geoph. Res. 105, 21529–21536 (2000)CrossRef Issen, K., Rudnicki, J.: Conditions for compaction bands in porous rock. J. Geoph. Res. 105, 21529–21536 (2000)CrossRef
5.
Zurück zum Zitat Mollema, P.N., Antonellini, M.A.: Compaction bands: a structural analog for anti-mode I cracks in Aeolian sandstone. Tectonophysics 267, 209–228 (1996)CrossRef Mollema, P.N., Antonellini, M.A.: Compaction bands: a structural analog for anti-mode I cracks in Aeolian sandstone. Tectonophysics 267, 209–228 (1996)CrossRef
6.
Zurück zum Zitat Oka, F., Kimoto, S., Higo, Y., Ohta, H., Sanagawa, T., Kodaka, T.: An elasto-viscoplastic model for diatomaceous mudstone and numerical simulation of compaction bands. Int. J. Numer. Anal. Meth. Geomech. 35, 244–263 (2011)CrossRefMATH Oka, F., Kimoto, S., Higo, Y., Ohta, H., Sanagawa, T., Kodaka, T.: An elasto-viscoplastic model for diatomaceous mudstone and numerical simulation of compaction bands. Int. J. Numer. Anal. Meth. Geomech. 35, 244–263 (2011)CrossRefMATH
7.
Zurück zum Zitat Perzyna, P.: Fundamental problems in viscoplasticity. Adv. Appl. Mech. 9, 243–377 (1966)CrossRef Perzyna, P.: Fundamental problems in viscoplasticity. Adv. Appl. Mech. 9, 243–377 (1966)CrossRef
Metadaten
Titel
The Effect of Rotational and Isotropic Hardening on the Onset of Compaction Bands
verfasst von
Chara Prassa
Sotiris Alevizos
Manolis Veveakis
Yannis F. Dafalias
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-56397-8_19