Bounding surface plasticity for sand using fractional flow rule and modified critical state line

2020 ◽  
Vol 90 (11) ◽  
pp. 2561-2577
Author(s):  
Yifei Sun ◽  
Wojciech Sumelka ◽  
Yufeng Gao
Keyword(s):  
Critical State ◽  
Flow Rule ◽  
Fractional Flow ◽  
Bounding Surface ◽  
Bounding Surface Plasticity ◽  
Surface Plasticity

Isotropic–kinematic hardening model for coarse granular soils capturing particle breakage and cyclic loading under triaxial stress space

2016 ◽  
Vol 53 (4) ◽  
pp. 646-658 ◽  
Author(s):  
Qingsheng Chen ◽  
Buddhima Indraratna ◽  
John P. Carter ◽  
Sanjay Nimbalkar
Keyword(s):  
Cyclic Loading ◽  
Critical State ◽  
Kinematic Hardening ◽  
Plasticity Theory ◽  
Particle Breakage ◽  
Granular Soils ◽  
Stress Space ◽  
Bounding Surface ◽  
Bounding Surface Plasticity ◽  
Surface Plasticity

In this paper, a simple but comprehensive cyclic stress–strain model that incorporates particle breakage for granular soils including ballast and rockfill has been proposed on the basis of bounding surface plasticity theory within a critical state framework. Particle breakage and its effects are captured by a critical state line that is translated in voids ratio–stress space according to the dissipated energy (plastic work), through a hyperbolic function. A comprehensive equation related to particle breakage is proposed for the stress–dilatancy relationship to capture the complex dilatancy of granular soils. By extending Masing’s rule to bounding surface plasticity theory and introducing a generalized homological centre, a combined isotropic–kinematic hardening rule and a mapping rule have been established to simulate more realistically the response of gravelly soils under cyclic loading. The applicability and accuracy of this model are demonstrated by comparing its predictions with experimental results for different types of granular soils, including rockfill, under both monotonic and cyclic loading conditions. This study shows that the model can capture the characteristic features of coarse granular soils under complex loading paths.

Unified Critical‐State Bounding‐Surface Plasticity Model for Soil

1994 ◽  
Vol 120 (11) ◽  
pp. 2251-2270 ◽  
Author(s):  
Roger S. Crouch ◽  
John P. Wolf ◽  
Yannis F. Dafalias
Keyword(s):  
Critical State ◽  
Plasticity Model ◽  
Bounding Surface ◽  
Bounding Surface Plasticity ◽  
Surface Plasticity

A bounding surface plasticity model for sands exhibiting particle crushing

2004 ◽  
Vol 41 (6) ◽  
pp. 1179-1192 ◽  
Author(s):  
Adrian R Russell ◽  
Nasser Khalili
Keyword(s):  
Critical State ◽  
Triaxial Tests ◽  
Compression Tests ◽  
Particle Crushing ◽  
Bounding Surface ◽  
Bounding Surface Plasticity ◽  
Isotropic Compression ◽  
Surface Plasticity ◽  
Wide Range ◽  
Bounding Surfaces

A new bounding surface constitutive model for sands is presented and is suited to a wide range of stresses, including those sufficient to cause particle crushing. The basic concepts of critical state soil mechanics are shown to be valid, and a uniquely shaped critical state line is defined to capture the three modes of plastic deformation observed across a wide range of stresses, including particle rearrangement, particle crushing, and pseudoelastic deformation. A limiting isotropic compression line is separated from the critical state line in the υ – In p′ plane by a constant shift along an elastic unload–reload line. In the deviator stress – mean effective stress (q–p′) plane, the loading and bounding surfaces are homologous about the origin and defined by a simple and versatile function. Isotropic hardening and softening of the loading and bounding surfaces are controlled by plastic volumetric strains. A commonly used non associative flow rule is adopted. Experimental results of monotonically loaded drained and undrained triaxial tests, isotropic compression tests, and oedometric compression tests are presented for a quartz sand and used to calibrate the model. Membrane penetration is accounted for in the model simulations of the test results. A single set of material parameters is introduced enabling rigorous and accurate predictions of stress–strain behaviour in sands.Key words: sand, bounding surface, plasticity, particle crushing.

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