An elasto-plastic damage constitutive model with double yield surfaces for saturated soft rock

An elasto-plastic damage constitutive model with double yield surfaces is developed based on irreversible thermodynamics theory and damage mechanics theory. Two kinds of plastic deformation mechanisms, including plastic friction and plastic pore deformation mechanisms, are considered. The plastic friction yield criterion is established by a parabolic open function that incorporates the volumetric deformation effect, and the motion of yield function in stress space is governed by its center position and rotation hardening rule. Meanwhile, a plastic pore yield criterion is established by adopting Gurson's criterion using the proposed friction yield model to determine the matrix deformation of porous materials. A damage variable is defined to describe the development of various microscopic defects. Comparisons between numerical predictions and experimental data of triaxial compression tests are presented with various confining pressure conditions to verify the rationality of the proposed model.

[1]  K. Høeg,et al.  Experimental mechanical compaction of clay mineral aggregates—Changes in physical properties of mudstones during burial , 2007 .

[2]  Sumio Murakami,et al.  An irreversible thermodynamics theory for elastic-plastic-damage materials , 1998 .

[3]  C. Martin,et al.  The mechanical behaviour of weak mudstone (Opalinus Clay) at low stresses , 2007 .

[4]  K. Su,et al.  Experimental study on gas permeability of mudstones , 2008 .

[5]  Guy T. Houlsby,et al.  Application of thermomechanical principles to the modelling of geotechnical materials , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[6]  I. F. Collins,et al.  A theoretical framework for constructing elastic/plastic constitutive models of triaxial tests , 2002 .

[7]  D. Holcomb Discrete memory in rock: A review , 1984 .

[8]  Hyun-Yong Jeong A new yield function and a hydrostatic stress-controlled void nucleation model for porous solids with pressure-sensitive matrices , 2002 .

[9]  Fusao Oka,et al.  An elasto-plastic constitutive model for soft rock with strain softening , 1995 .

[10]  I. F. Collins,et al.  A thermomechanical analysis of a family of soil models , 2002 .

[11]  J. Chaboche,et al.  Mechanics of Solid Materials , 1990 .

[12]  V. Tvergaard Material Failure by Void Growth to Coalescence , 1989 .

[13]  A. L. Gurson,et al.  Porous Rigid Plastic Materials Containing Rigid Inclusions; Yield Function, Plastic Potential and Void Nucleation , 1976 .

[14]  L. S. Costin,et al.  Detecting Damage Surfaces in Brittle Materials Using Acoustic Emissions , 1986 .

[15]  Jian-Fu Shao,et al.  Elastoplastic deformation of a porous rock and water interaction , 2006 .

[16]  George Z. Voyiadjis,et al.  A coupled anisotropic damage model for the inelastic response of composite materials , 2000 .

[17]  Dunja Perić,et al.  On the analytical solutions for the three-invariant Cam clay model , 2002 .

[18]  J. Pan,et al.  A macroscopic constitutive law for porous solids with pressure-sensitive matrices and its implications to plastic flow localization , 1995 .

[19]  I. Collins,et al.  On the relationship between stress–dilatancy, anisotropy, and plastic dissipation for granular materials , 2003 .

[20]  A. Gurson Plastic flow and fracture behavior of ductile materials incorporating void nucleation, growth and interaction , 1988 .

[21]  P. Lade Modelling the strengths of engineering materials in three dimensions , 1997 .

[22]  George Z. Voyiadjis,et al.  On the coupling of anisotropic damage and plasticity models for ductile materials , 2003 .

[23]  J. Szymakowski Shear Testing of Soft Rock Masses , 2007 .

[24]  R. Yoshinaka,et al.  Non-linear, stress- and strain-dependent behavior of soft rocks under cyclic triaxial conditions , 1997 .

[25]  A. Gurson Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media , 1977 .

[26]  B. Krooss,et al.  Factors controlling the thermo-mechanical deformation of oil shales: Implications for compaction of mudstones and exploitation , 2006 .

[27]  J. Leblond,et al.  Accelerated void growth in porous ductile solids containing two populations of cavities , 2000 .

[28]  Qi-Zhi Zhu,et al.  Modeling of creep in rock materials in terms of material degradation , 2003 .

[29]  Françoise Homand,et al.  Saturated and unsaturated behaviour modelling of Meuse–Haute/Marne argillite , 2007 .

[30]  Amit K. Verma,et al.  Prediction of creep characteristic of rock under varying environment , 2005 .

[31]  Chandrakant S. Desai,et al.  Mechanics of Materials and Interfaces: The Disturbed State Concept , 2000 .

[32]  Hareyuki Yamaguchi,et al.  Slaking And Shear Properties of Mudstone , 1988 .

[33]  Tai Quan Zhou,et al.  Reliability Analysis of Railway Tunnel Construction Process within Soft and Weak Rock Mass Using the Unified Elasto-Plastic Strength Criterion , 2007 .