Principle of analysis of brittle-plastic rock mass

Abstract Based upon Il’yushin’s postulate and the plastic potential theory, a procedure for calculating the abrupt change in stresses from the peak strength surface to the residual strength surface is proposed. The stability criterion for a brittle-plastic body loaded proportionally is presented. Finally, three examples have been solved analytically and numerically, including an engineering example of the steep rock slope of a shiplock system for the Three Gorges hydroelectric power project in China.

[1]  R. Borst.  SIMULATION OF STRAIN LOCALIZATION: A REAPPRAISAL OF THE COSSERAT CONTINUUM , 1991 .

[2]  X. Ge,et al.  Characterization of the disturbed zone in a large rock excavation for the Three Gorges Project , 2001 .

[3]  Dusan Krajcinovic,et al.  Statistical models of brittle deformation: Part II: computer simulations , 1999 .

[4]  J. Fredrich,et al.  Micromechanics of the brittle to plastic transition in Carrara marble , 1989 .

[5]  W. R. Wawersik,et al.  Post-failure behavior of a granite and diabase , 1971 .

[6]  Jian-Fu Shao,et al.  Modeling of elastoplastic damage behavior of a claystone , 2003 .

[7]  Andrzej Litewka,et al.  Load-induced oriented damage and anisotropy of rock-like materials , 2003 .

[8]  J. Ju,et al.  On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects , 1989 .

[9]  Z. Bažant,et al.  Nonlocal damage theory , 1987 .

[10]  Richard A. Regueiro,et al.  A finite element model of localized deformation in frictional materials taking a strong discontinuity approach , 1999 .

[11]  Ajit K. Mal,et al.  Deformation of Elastic Solids , 1990 .

[12]  N. A. Chandler,et al.  The progressive fracture of Lac du Bonnet granite , 1994 .

[13]  Michael F. Ashby,et al.  The failure of brittle porous solids under compressive stress states , 1986 .

[14]  L. J. Sluys,et al.  Three-dimensional embedded discontinuity model for brittle fracture , 2001 .

[15]  Zenon Mróz,et al.  Stability Conditions for Brittle-Plastic Structures with Propagating Damage Surfaces∗ , 1985 .

[16]  Dusan Krajcinovic,et al.  Statistical models of brittle deformation Part I: introduction , 1999 .

[17]  Jian-Fu Shao,et al.  A continuum damage constitutive law for brittle rocks , 1998 .

[18]  René de Borst,et al.  Gradient-dependent plasticity: formulation and algorithmic aspects , 1992 .

[19]  Maurice B. Dusseault,et al.  Stresses around a circular opening in an elastoplastic porous medium subjected to repeated hydraulic loading , 1994 .

[20]  K. Lo,et al.  Stress analysis and slope stability in strain-softening materials , 1973 .

[21]  Jean-Pierre Bardet,et al.  A comprehensive review of strain localization in elastoplastic soils. , 1990 .

[22]  J. Z. Zhu,et al.  The finite element method , 1977 .

[23]  W. Zhang,et al.  An elastic–plastic-cracking model for finite element analysis of indentation cracking in brittle materials , 2001 .

[24]  S. Pietruszczak,et al.  Brittle response of concrete as a localization problem , 1995 .

[25]  Milena Vujosevic,et al.  Intrinsic failure modes of brittle materials , 1998 .

[26]  D. Borst,et al.  Fundamental issues in finite element analyses of localization of deformation , 1993 .

[27]  J. Fredrich,et al.  Micromechanics of thermally induced cracking in three crustal rocks , 1986 .

[28]  I. Vardoulakis,et al.  The thickness of shear bands in granular materials , 1987 .

[29]  Hong Zheng,et al.  A sophisticated node-pair model for interface problems , 2004 .

[30]  Wai-Fah Chen,et al.  Plasticity for Structural Engineers , 1988 .

[31]  V. Hajiabdolmajid,et al.  Modelling brittle failure of rock , 2002 .

[32]  B. Atkinson.  Subcritical crack growth in geological materials , 1984 .

[33]  Marc G. D. Geers,et al.  Nonlocal implicit gradient-enhanced elasto-plasticity for the modelling of softening behaviour , 2003 .

[34]  John M Kemeny,et al.  Micromechanics of Deformation in Rocks , 1991 .

[35]  Teng-fong Wong,et al.  MICROMECHANICS OF FAULTING IN WESTERLY GRANITE , 1982 .

[36]  P. Steif.  Crack extension under compressive loading , 1984 .