skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: On the strength of transversely isotropic rocks: On the strength of transversely isotropic rocks

Abstract

Accurate prediction of strength in rocks with distinct bedding planes requires knowledge of the bedding plane orientation relative to the load direction. Thermal softening adds complexity to the problem since it is known to have significant influence on the strength and strain localization properties of rocks. In this paper, we utilize a recently proposed thermoplastic constitutive model appropriate for rocks exhibiting transverse isotropy in both the elastic and plastic responses to predict their strength and strain localization properties. Recognizing that laboratory-derived strengths can be influenced by material and geometric inhomogeneities of the rock samples, we consider both stress-point and boundary-value problem simulations of rock strength behavior. Both plane strain and 3D loading conditions are considered. Results of the simulations of the strength of a natural Tournemire shale and a synthetic transversely isotropic rock suggest that the mechanical model can reproduce the general U-shaped variation of rock strength with bedding plane orientation quite well. We show that this variation could depend on many factors, including the stress loading condition (plane strain versus 3D), degree of anisotropy, temperature, shear-induced dilation versus shear-induced compaction, specimen imperfections, and boundary restraints, among others.

Authors:
 [1];  [1];  [1]; ORCiD logo [1]
  1. Stanford Univ., CA (United States)
Publication Date:
Research Org.:
Stanford Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Chemical Sciences, Geosciences & Biosciences Division; National Science Foundation (NSF)
OSTI Identifier:
1596338
Grant/Contract Number:  
[FG02-03ER15454; CMMI‐1462231; DGE‐114747]
Resource Type:
Accepted Manuscript
Journal Name:
International Journal for Numerical and Analytical Methods in Geomechanics
Additional Journal Information:
[ Journal Volume: 42; Journal Issue: 16]; Journal ID: ISSN 0363-9061
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Anisotropy; bifurcation; rock strength; shear band; thermoplasticity; transverse isotropy

Citation Formats

Zhao, Yang, Semnani, Shabnam J., Yin, Qing, and Borja, Ronaldo I. On the strength of transversely isotropic rocks: On the strength of transversely isotropic rocks. United States: N. p., 2018. Web. doi:10.1002/nag.2809.
Zhao, Yang, Semnani, Shabnam J., Yin, Qing, & Borja, Ronaldo I. On the strength of transversely isotropic rocks: On the strength of transversely isotropic rocks. United States. doi:10.1002/nag.2809.
Zhao, Yang, Semnani, Shabnam J., Yin, Qing, and Borja, Ronaldo I. Thu . "On the strength of transversely isotropic rocks: On the strength of transversely isotropic rocks". United States. doi:10.1002/nag.2809. https://www.osti.gov/servlets/purl/1596338.
@article{osti_1596338,
title = {On the strength of transversely isotropic rocks: On the strength of transversely isotropic rocks},
author = {Zhao, Yang and Semnani, Shabnam J. and Yin, Qing and Borja, Ronaldo I.},
abstractNote = {Accurate prediction of strength in rocks with distinct bedding planes requires knowledge of the bedding plane orientation relative to the load direction. Thermal softening adds complexity to the problem since it is known to have significant influence on the strength and strain localization properties of rocks. In this paper, we utilize a recently proposed thermoplastic constitutive model appropriate for rocks exhibiting transverse isotropy in both the elastic and plastic responses to predict their strength and strain localization properties. Recognizing that laboratory-derived strengths can be influenced by material and geometric inhomogeneities of the rock samples, we consider both stress-point and boundary-value problem simulations of rock strength behavior. Both plane strain and 3D loading conditions are considered. Results of the simulations of the strength of a natural Tournemire shale and a synthetic transversely isotropic rock suggest that the mechanical model can reproduce the general U-shaped variation of rock strength with bedding plane orientation quite well. We show that this variation could depend on many factors, including the stress loading condition (plane strain versus 3D), degree of anisotropy, temperature, shear-induced dilation versus shear-induced compaction, specimen imperfections, and boundary restraints, among others.},
doi = {10.1002/nag.2809},
journal = {International Journal for Numerical and Analytical Methods in Geomechanics},
number = [16],
volume = [42],
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Nanomechanics of organic-rich shales: the role of thermal maturity and organic matter content on texture
journal, June 2016


Nanochemo-mechanical signature of organic-rich shales: a coupled indentation–EDX analysis
journal, January 2016


Multiscale insights into classical geomechanics problems: MULTISCALE INSIGHTS INTO CLASSICAL GEOMECHANICS PROBLEMS
journal, July 2015

  • Guo, Ning; Zhao, Jidong
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 40, Issue 3
  • DOI: 10.1002/nag.2406

Parametric study of the smooth-joint contact model on the mechanical behavior of jointed rock
journal, October 2017

  • Hu, Wanrui; Kwok, C. Y.; Duan, Kang
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 42, Issue 2
  • DOI: 10.1002/nag.2751

Rate-independent fracture toughness of gray and black kerogen-rich shales
journal, May 2017


A multiscale framework for the simulation of the anisotropic mechanical behavior of shale: A MULTISCALE DISCRETE APPROACH TO ANISOTROPIC MECHANICAL BEHAVIOR OF SHALE
journal, February 2017

  • Li, Weixin; Rezakhani, Roozbeh; Jin, Congrui
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 14
  • DOI: 10.1002/nag.2684

Responses of chemically active and naturally fractured shale under time-dependent mechanical loading and ionic solution exposure
journal, July 2017

  • Liu, Chao; Hoang, Son K.; Abousleiman, Younane N.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 42, Issue 1
  • DOI: 10.1002/nag.2713

Numerical analysis of the effect of natural microcracks on the supercritical CO 2 fracturing crack network of shale rock based on bonded particle models
journal, June 2017

  • Peng, Peihuo; Ju, Yang; Wang, Yongliang
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 18
  • DOI: 10.1002/nag.2712

Water effects on rock strength and stiffness degradation
journal, September 2015


Multiscale modeling and analysis of compaction bands in high-porosity sandstones
journal, May 2017


Response of multilayered transversely isotropic medium due to axisymmetric loads: Response of Transversely Isotropic Medium due to Axisymmetric Loads
journal, September 2015

  • Zhang, Pengchong; Lin, Gao; Liu, Jun
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 40, Issue 6
  • DOI: 10.1002/nag.2429

The granular and polymer composite nature of kerogen-rich shale
journal, February 2016


Experimental Study of Shear Failure in Anisotropic Rocks
journal, January 1961


Intrinsic shear strength of a brittle, anisotropic rock—I
journal, November 1974

  • Attewell, Peter B.; Sandford, Michael R.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 11, Issue 11
  • DOI: 10.1016/0148-9062(74)90453-7

The Mechanical Behavior of Anisotropic Sedimentary Rocks
journal, January 1967

  • McLamore, R.; Gray, K. E.
  • Journal of Engineering for Industry, Vol. 89, Issue 1
  • DOI: 10.1115/1.3610013

Strength anisotropy of shales deformed under uppermost crustal conditions: STRENGTH ANISOTROPY OF SHALES
journal, January 2017

  • Bonnelye, Audrey; Schubnel, Alexandre; David, Christian
  • Journal of Geophysical Research: Solid Earth, Vol. 122, Issue 1
  • DOI: 10.1002/2016JB013040

Laboratory investigation of the mechanical behaviour of Tournemire shale
journal, January 1997

  • Niandou, H.; Shao, J. F.; Henry, J. P.
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 34, Issue 1
  • DOI: 10.1016/S1365-1609(97)80029-9

Engineering behaviour of phyllites
journal, February 1993


Anisotropic strength and deformational behavior of Himalayan schists
journal, January 2003

  • Nasseri, M. H. B.; Rao, K. S.; Ramamurthy, T.
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 40, Issue 1
  • DOI: 10.1016/S1365-1609(02)00103-X

Instrumented nanoindentation and 3D mechanistic modeling of a shale at multiple scales
journal, January 2015


Mechanical anisotropy in the Woodford Shale, Permian Basin: Origin, magnitude, and scale
journal, March 2011

  • Harris, Nicholas B.; Miskimins, Jennifer L.; Mnich, Cheryl A.
  • The Leading Edge, Vol. 30, Issue 3
  • DOI: 10.1190/1.3567259

Quantifying the heterogeneity of shale through statistical combination of imaging across scales
journal, August 2017


An experimental investigation of the failure mechanism of simulated transversely isotropic rocks
journal, December 2006

  • Tien, Yong Ming; Kuo, Ming Chuan; Juang, Charng Hsein
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 43, Issue 8
  • DOI: 10.1016/j.ijrmms.2006.03.011

A failure criterion for transversely isotropic rocks
journal, April 2001

  • Tien, Yong Ming; Kuo, Ming Chuan
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 38, Issue 3
  • DOI: 10.1016/S1365-1609(01)00007-7

Assessment of some failure criteria for strongly anisotropic geomaterials
journal, January 1998


A modified single plane of weakness theory for the failure of highly stratified rocks
journal, September 1998


Shear Failure of Anistropic Rocks
journal, February 1960


A fracture criterion for brittle anisotropic rock
journal, August 1964


A modified Hoek–Brown failure criterion for anisotropic intact rock
journal, February 2008

  • Saroglou, H.; Tsiambaos, G.
  • International Journal of Rock Mechanics and Mining Sciences, Vol. 45, Issue 2
  • DOI: 10.1016/j.ijrmms.2007.05.004

Friction of Rocks and Stability of Rock Slopes
journal, June 1971


A General Theory of Strength for Anisotropic Materials
journal, January 1971


On yielding of oriented solids
journal, March 1977


The failure of transversely isotropic rocks in triaxial compression
journal, December 1980

  • Nova, R.
  • International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 17, Issue 6
  • DOI: 10.1016/0148-9062(80)90515-X

Development of an Orthotropic 3D Elastoplastic Material Model for Shale
conference, April 2013

  • Crook, Anthony J. L.; Yu, Jian-Guo; Willson, Stephen M.
  • SPE/ISRM Rock Mechanics Conference
  • DOI: 10.2118/78238-MS

Thermoplasticity and strain localization in transversely isotropic materials based on anisotropic critical state plasticity: THERMOPLASTICITY AND STRAIN LOCALIZATION
journal, May 2016

  • Semnani, Shabnam J.; White, Joshua A.; Borja, Ronaldo I.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 40, Issue 18
  • DOI: 10.1002/nag.2536

Computational Aspects of Elasto-Plastic Deformation in Polycrystalline Solids
journal, April 2012

  • Borja, Ronaldo I.; Rahmani, Helia
  • Journal of Applied Mechanics, Vol. 79, Issue 3
  • DOI: 10.1115/1.4005898

Discrete micromechanics of elastoplastic crystals in the finite deformation range
journal, June 2014

  • Borja, Ronaldo I.; Rahmani, Helia
  • Computer Methods in Applied Mechanics and Engineering, Vol. 275
  • DOI: 10.1016/j.cma.2014.03.002

On the pore-scale mechanisms leading to brittle and ductile deformation behavior of crystalline rocks: PORE-SCALE MECHANISMS IN CRYSTALLINE ROCKS
journal, February 2015

  • Tjioe, Martin; Borja, Ronaldo I.
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 39, Issue 11
  • DOI: 10.1002/nag.2357

Pore-scale modeling of deformation and shear band bifurcation in porous crystalline rocks: Pore-scale modeling of deformation and shear band bifurcation in porous crystalline rocks
journal, February 2016

  • Tjioe, Martin; Borja, Ronaldo I.
  • International Journal for Numerical Methods in Engineering, Vol. 108, Issue 3
  • DOI: 10.1002/nme.5208

Thermoplasticity of Saturated Clays: Experimental Constitutive Study
journal, December 1990


Experimental investigation of the effect of temperature on the mechanical behavior of Tournemire shale
journal, September 2014


Strength and post-peak response of Colorado shale at high pressure and temperature
journal, April 2016


Thermoplasticity of Saturated Soils and Shales: Constitutive Equations
journal, December 1990


Modified Cam-Clay modelling of temperature effects in clays
journal, June 2001

  • Graham, J.; Tanaka, N.; Crilly, T.
  • Canadian Geotechnical Journal, Vol. 38, Issue 3
  • DOI: 10.1139/t00-125

Thermo-plasticity of clays
journal, December 2003


Bifurcation of elastoplastic solids to shear band mode at finite strain
journal, November 2002


Conditions for the localization of deformation in pressure-sensitive dilatant materials
journal, December 1975


Hyper-elastoplastic/damage modeling of rock with application to porous limestone
journal, June 2018


Finite strain elastoplasticity considering the Eshelby stress for materials undergoing plastic volume change
journal, February 2016


Computational modeling of deformation bands in granular media. I. Geological and mathematical framework
journal, July 2004

  • Borja, Ronaldo I.; Aydin, Atilla
  • Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 27-29
  • DOI: 10.1016/j.cma.2003.09.019

Computational modeling of deformation bands in granular media. II. Numerical simulations
journal, July 2004

  • Borja, Ronaldo I.
  • Computer Methods in Applied Mechanics and Engineering, Vol. 193, Issue 27-29
  • DOI: 10.1016/j.cma.2003.09.018

Long-wave elastic anisotropy produced by horizontal layering
journal, October 1962


A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation
journal, December 2000


Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity
journal, May 2001


A contact algorithm for frictional crack propagation with the extended finite element method
journal, December 2008

  • Liu, Fushen; Borja, Ronaldo I.
  • International Journal for Numerical Methods in Engineering, Vol. 76, Issue 10
  • DOI: 10.1002/nme.2376

Shear fracture in sandstone under plane-strain compression
journal, April 2006