Elastic–Plastic Constitutive Relationship of Polymer Fiber–Reinforced Clay Considering the Effect of Anisotropic Distribution

Data Availability Statement

Acknowledgments

Notation

A

parameter of probability function of fiber orientation;

B

parameter of probability function of fiber orientation;

C_c

compression index;

[C^ep]

stiffness matrix of clay;

C_s

rebound index;

c_p

plasticity parameter;

E

elastic modulus;

E_f

elastic modulus of the polymer fiber;

e₀

initial pore ratio;

f_b

correction factor;

G

elastic shear modulus;

G_f

specific gravity of the polymer fiber;

K

elastic bulk modulus;

K_e

bonding efficiency coefficient between the fiber and soil matrix;

M

slope of the critical state line;

M_f

potential failure stress ratio;

[M_f]

stiffness matrix of fiber contribution;

M_h

slope of the Hvorslev envelope;

m_f

mass of fibers;

m_s

mass of dry soil;

N

parameter for evaluating the simulation validity;

n

parameter of probability function of fiber orientation;

p₀

initial mean stress;

p_ref

reference stress;

p_x0

intersection of the initial reference yield surface with the p-axis;

q_e

deviatoric stress test result;

q_s

deviatoric stress simulation result;

R

ratio of the current stress to the reference stress;

u

pore-water pressure;

V

volume of polymer fiber‒reinforced clay;

V₀

initial volume of polymer fiber‒reinforced clay;

V_f

volume of polymer fibers;

ɛ₁

axial strain;

ɛ₃

radial strain;

${\epsilon }_v^p$

plastic volumetric strain;

η

ratio of the shear stress to the effective mean stress;

θ

angle between fiber orientation and horizontal plane;

θ₀

upper limit of integration;

κ

slope of the isotropic consolidation rebound curve;

λ

slope of the normal consolidation line;

ν

Poisson’s ratio;

ρ(θ, α)

probability function of fiber orientation;

ρ_d

dry density of polymer fiber‒reinforced clay;

ρ_w

density of water;

χ_m

fiber mass content;

χ_v

fiber volumetric content; and

χ_v0

initial fiber volumetric content.

References