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. 2022 Oct 29;15(21):7609. doi: 10.3390/ma15217609
De,Dep Elasticity tensor and elasto-plastic tangent operator.
E Relative error norm of two estimated stresses.
e,ecs Void ratio and critical void ratio.
F,g Bounding surface and plastic potential surface.
GS1,GSN Secant moduli at loading cycles 1 and N.
hb,hf Plastic modulus at image stress and interpolation plastic modulus.
h Plastic modulus at true stress.
k0,k1,k2 Cyclic plasticity parameters.
K,G Bulk modulus and shear modulus.
kf,d Hardening parameter and damage parameter.
L Loading index.
Mcs Critical stress ratio.
mp Length of the normal vector to plastic potential.
n,r Bounding surface shape parameters.
n˜,m Normal vectors to the bounding surface and plastic potential.
(op,oq) Projection centre coordinates.
pc′,p¯c Preconsolidation pressure and hardening internal variable of bounding surface.
p¯′,q¯ Image stress on the bounding surface.
p′,q Mean effective stress and deviatoric stress.
t Parameter used to distinguish cyclic shakedown and failure.
T Pseudo time.
v Specific volume.
β Scaling factor of sub-increment size.
γ Distance ratio.
Γo Intersection point of the CSL and the void ratio axis at p′=1.
εv,εs Volumetric strain and shear strain
εdp,εvp Plastic deviatoric strain and plastic volumetric strain.
εc1,εcn Cyclic axial strains at cycles 1 and N.
ε1,ε3 Axial strain and lateral strain.
ε,εe,εp Total strain tensor, elastic strain tensor and plastic strain tensor.
κ Elastic slope in e−lnp′ space.
λ Slope of the normal consolidation line.
Λ Plastic multiplier.
μ Poisson’s ratio.
ρ¯ Euclidean distance between image stress and projection centre.
ρ Euclidean distance between image stress and true stress.
σ1′,σ3′ Axial and lateral effective stresses.
σd Magnitude of axial cyclic stress.
σ′,σ¯′ Effective stress tensor and the corresponding stress on bounding surface.
ϕ Drained friction angle.