An Efficient Generalized Plasticity Constitutive Model with Minimal Complexity and Required Parameters

Numerical analyses precision performed by software, depends mostly on the accuracy of constitutive model. Therefore, the issue of accuracy has led to significant achievements in the development of constitutive models simulating the mechanical behavior of soils. However, these constitutive models often needs to a lot of parameters to be calibrated for each type of soil, and it’s considered as a disadvantage. especially, when the model parameters should be obtained through trial and error, the number of the parameters becomes a considerable issue. This paper presents an advanced constitutive model. Despite requiring much lower number of model parameters, it provides the same level of accuracy in compression of other advanced constitutive models for sand in literature. To show that the presented model achieved to this purpose, it is evaluated by various experimental data and some predictions made by two successful advanced models in literature. Consequently, it shows the presented model can accurately predict the sand behavior under different conditions despite using smaller number of parameters. Also, the accuracy of the presented model is on a par with advanced constitutive models available in the geotechnical engineering literature.

[1]  D. Muir Wood,et al.  A kinematic hardening constitutive model for sands: the multiaxial formulation , 1999 .

[2]  Egor P. Popov,et al.  A model of nonlinearly hardening materials for complex loading , 1975 .

[3]  Majid T. Manzari,et al.  A critical state two-surface plasticity model for sands , 1997 .

[4]  O. C. Zienkiewicz,et al.  Modelling of Sand Behaviour: Cyclic Loading, Anisotropy and Localization , 1993 .

[5]  P. W. Rowe The stress-dilatancy relation for static equilibrium of an assembly of particles in contact , 1962, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[6]  Taesik Kim,et al.  Nonlinear stress-strain response of soft Chicago glacial clays , 2015 .

[7]  Daichao Sheng,et al.  Simulation of yielding and stress–stain behavior of shanghai soft clay , 2011 .

[8]  Sashi K. Kunnath,et al.  Nonlinear Uniaxial Material Model for Reinforcing Steel Bars , 2009 .

[9]  Hoe I. Ling,et al.  Pressure-Level Dependency and Densification Behavior of Sand Through Generalized Plasticity Model , 2003 .

[10]  Seboong Oh A new hardening function for bounding surface plasticity to predict soil behavior in overall strain ranges , 2007 .

[11]  Yannis F. Dafalias,et al.  State Pressure Index for Modeling Sand Behavior , 2002 .

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

[13]  Qiang Xu,et al.  A simple critical-state-based double-yield-surface model for clay behavior under complex loading , 2013 .

[14]  Zhen-Yu Yin,et al.  Stress–dilatancy behavior for sand under loading and unloading conditions , 2013 .

[15]  Ken Been,et al.  A STATE PARAMETER FOR SANDS , 1985 .

[16]  Wei Huang,et al.  Anisotropic bounding-surface plasticity model for the cyclic shakedown and degradation of saturated clay , 2012 .

[17]  Jun Wang,et al.  A unified plasticity model for cyclic behaviour of clay and sand , 2007 .

[18]  Lai Yuanming,et al.  Strength criterion and elastoplastic constitutive model of frozen silt in generalized plastic mechanics , 2010 .

[19]  Young-Hoon Jung,et al.  A new perspective on bounding surface plasticity: The moving projection origin , 2017 .

[20]  Jiasheng Zhang,et al.  Constitutive Modeling of Loose Sands under Various Stress Paths , 2013 .

[21]  Rama Swamy Nanna,et al.  Direct Organogenesis and Plantlet Establishment via Cotyledon Explants in Medicinally Important Herb Silybum marianum (L.) , 2016 .

[22]  Achilleas G. Papadimitriou,et al.  Plasticity model for sand under small and large cyclic strains: a multiaxial formulation , 2002 .

[23]  Gang Wang,et al.  Modified Bounding Surface Hypoplasticity Model for Sands under Cyclic Loading , 2014 .

[24]  Gonzalo Castro,et al.  Liquefaction of sands , 1969 .

[25]  Fumio Tatsuoka,et al.  DRAINED DEFORMATION OF SAND UNDER CYCLIC STRESSES REVERSING DIRECTION , 1974 .

[26]  Tsutomu Usami,et al.  A GENERALIZED TWO-SURFACE MODEL FOR STRUCTURAL STEELS UNDER CYCLIC LOADING , 1993 .

[27]  Dae Kyu Kim,et al.  A constitutive model with damage for cohesive soils , 2004 .

[28]  Konstantinos I. Andrianopoulos,et al.  Bounding surface plasticity model for the seismic liquefaction analysis of geostructures , 2010 .

[29]  R. D. Krieg A Practical Two Surface Plasticity Theory , 1975 .

[30]  O. C. Zienkiewicz,et al.  Generalized plasticity and the modelling of soil behaviour , 1990 .

[31]  S. Kunnath,et al.  SANISTEEL: Simple Anisotropic Steel Plasticity Model , 2011 .

[32]  Jose Antonio Fernandez Merodo,et al.  Generalized plasticity state parameter‐based model for saturated and unsaturated soils. Part 1: Saturated state , 2011 .

[33]  Majid T. Manzari,et al.  SIMPLE PLASTICITY SAND MODEL ACCOUNTING FOR FABRIC CHANGE EFFECTS , 2004 .

[34]  K. Ishihara Liquefaction and flow failure during earthquakes. , 1993 .

[35]  Yannis F. Dafalias,et al.  BOUNDING SURFACE PLASTICITY, I: MATHEMATICAL FOUNDATION AND HYPOPLASTICITY , 1986 .

[36]  Kenji Ishihara,et al.  Yielding of Sand in Triaxial Compression , 1974 .

[37]  Ehsan Seyedi Hosseininia,et al.  A modification to dense sand dynamic simulation capability of Pastor–Zienkiewicz–Chan model , 2014 .

[38]  Tadahiko Shiomi,et al.  Practical Programming in Computational Geomechanics: With Special Reference to Earthquake Engineering , 1999 .

[39]  Kenji Ishihara,et al.  THE STEADY STATE OF SANDY SOILS , 1996 .

[40]  Hoe I. Ling,et al.  Unified Sand Model Based on the Critical State and Generalized Plasticity , 2006 .