Modelling of Creep Rupture in Clay using the Bounding Surface Viscoplasticity Theory

The creep process is generally defined into three stages: primary, secondary and tertiary creep. Tertiary creep is the last phase among the three phases of creep process, where the strain rate accelerates until creep rupture occurs. This paper presents a viscoplastic constitutive model and demonstrates the capability of the model to capture tertiary creep and creep rupture. The model is based on the bounding surface plasticity and the viscoplastic consistency framework. It meets the consistency condition and allows a seamless transition from rate-independent plasticity to rate-dependent viscoplasticity. The rate-dependency is achieved through defining the bounding surface as a function of viscoplastic volumetric strain and viscoplastic volumetric strain rate. Simulation results and comparison with experimental data are presented for a set of undrained creep tests on normally consolidated soil and drained creep tests on heavily over-consolidated clay to show the application of the model in capturing the tertiary creep in clayey soils. F. ASMA & H. HAMMOUM (Eds.) special issue, 3 International Conference on Sustainability in Civil Engineering ICSCE 2020, Hanoi, Vietnam, J. Mater. Eng. Struct. 7(4) (2020)

[1]  G. A. Esgandani,et al.  A Bounding Surface Viscoplasticity Model for Time-Dependent Behavior of Soils Including Primary and Tertiary Creep , 2020, International Journal of Geomechanics.

[2]  F. Oka,et al.  Large deformation and failure analysis of river embankments subjected to seismic loading , 2020, Acta Geotechnica.

[3]  N. Khalili,et al.  A fully coupled flow-deformation model for time-dependent analysis of unsaturated soils , 2019, Japanese Geotechnical Society Special Publication.

[4]  F. Oka,et al.  A computational model for dynamic strain localization in unsaturated elasto‐viscoplastic soils , 2018, International Journal for Numerical and Analytical Methods in Geomechanics.

[5]  N. Khalili,et al.  A Bounding Surface Viscoplastic Constitutive Model for Unsaturated Soils , 2017 .

[6]  M. A. Habte,et al.  A bounding surface elasto‐viscoplastic constitutive model for non‐isothermal cyclic analysis of asphaltic materials , 2017 .

[7]  L. Laloui,et al.  Nonstationary flow surface theory for modeling the viscoplastic behaviors of soils , 2016 .

[8]  Sayuri Kimoto,et al.  Cyclic Elastoviscoplastic Constitutive Model for Clay Considering Nonlinear Kinematic Hardening Rules and Structural Degradation , 2015 .

[9]  Sayuri Kimoto,et al.  Dynamic analysis of strain localization in water‐saturated clay using a cyclic elasto‐viscoplastic model , 2014 .

[10]  Nasser Khalili,et al.  A Constitutive Model for Time-Dependent Behavior of Clay , 2014 .

[11]  Nasser Khalili,et al.  A fully coupled flow deformation model for cyclic analysis of unsaturated soils including hydraulic and mechanical hystereses , 2008 .

[12]  Nasser Khalili,et al.  A bounding surface plasticity model for cyclic loading of granular soils , 2005 .

[13]  Kaspar Willam,et al.  On the consistency of viscoplastic formulations , 2000 .

[14]  Jian-Hua Yin,et al.  Elastic viscoplastic modelling of the time- dependent stress-strain behaviour of soils , 1999 .

[15]  L. J. Sluys,et al.  Viscoplasticity for instabilities due to strain softening and strain‐rate softening , 1997 .

[16]  Bruce L. Kutter,et al.  ELASTIC-VISCOPLASTIC MODELLING OF THE RATE-DEPENDENT BEHAVIOUR OF CLAYS , 1992 .

[17]  Yannis F. Dafalias,et al.  THEORETICAL ASPECTS OF THE ELASTOPLASTIC-VISCOPLASTIC BOUNDING SURFACE MODEL FOR COHESIVE SOILS , 1990 .

[18]  T. Matsui,et al.  VERIFICATION OF ELASTO-VISCOPLASTIC MODEL OF NORMALLY CONSOLIDATED CLAYS IN UNDRAINED CREEP. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON NUMERICAL METHODS IN GEOMECHANICS, 11-15 APRIL 1988, INNSBRUCK, AUSTRIA. VOLUMES 1 - 3 , 1988 .

[19]  Hideo Sekiguchi,et al.  Theory of undrained creep rupture of normally consolidated clay based on elasto-viscoplasticity , 1984 .

[20]  Fusao Oka,et al.  CONSTITUTIVE EQUATIONS FOR NORMALLY CONSOLIDATED CLAY BASED ON ELASTO-VISCOPLASTICITY , 1982 .

[21]  R. B. Young,et al.  Undrained Creep Behaviour of a Coastal Organic Silty Clay , 1971 .

[22]  D. E. Snead.  Creep rupture of saturated undisturbed clays , 1970 .

[23]  P. Perzyna.  Fundamental Problems in Viscoplasticity , 1966 .