Mesoscale Modeling and Simulation of Size-Dependent Shear Response of Rectangular CFRP-Confined RC Columns

Data Availability Statement

Acknowledgments

Notation

A_c

cross-sectional area of concrete;

A_sv

cross-sectional area of stirrups;

AAE

average absolute error;

b

cross-sectional width of columns;

D

aggregate size;

D_max

maximum aggregate size;

D₀

specified particle size of coarse aggregates;

d

damage variable;

d_c

compressive damage factor;

d_t

tensile damage factor;

E

elastic modulus of concrete;

E_f

elastic modulus of FRP;

E₀

initial elastic modulus of concrete;

$f_b^{\mathrm{\prime }}$

biaxial compressive concrete strength;

f_cc

confined concrete strength;

f_cu

cubic compression strength;

$f_{c0}^{\mathrm{\prime }}$

uniaxial compressive concrete strength;

f_f

tensile strength of FRP;

f_l

confined strength of FRP;

f_sv

yield strength of stirrups;

f_t

tensile strength of concrete;

h

cross-sectional height of columns;

h₀

effective cross-sectional height of columns;

K

strength ratio of concrete under equal biaxial and triaxial compressive loads;

k_r

strength reduction percentage;

k₁

slope of linear ascending stage of bond stress–slip relationship;

k₂

slope of splitting stage of bond stress–slip relationship;

k₃

slope of descending stage of bond stress–slip relationship;

L

length of columns;

l_c

distance from the column bottom in compression zones;

l_t

distance from the column bottom in tension zones;

N

applied axial load;

n

axial compression ratio;

n_f

FRP layer number;

MV

mean value;

P

lateral load;

P_c

mass percentage of aggregates having a particle diameter D less than D₀;

P_k

aggregate volume fraction;

P_max

maximum lateral load;

P_max,S

simulated maximum lateral load;

P_max,E

experimental maximum lateral load;

r

corner radius;

s

bond slip between reinforcement and concrete;

s_cr

cracking bond slip;

s_f

spacing of FRP straps;

s_s

stirrup spacing along the column height;

s_u

peak bond slip;

s_un

bond slip at the unloading point;

SD

standard deviation;

t_f

FRP thickness;

V

total shear capacity of columns;

V_RC

shear capacity of RC columns;

V_f

shear capacity provided by FRP;

V_Δ

residual shear capacity of columns;

w_f

width of FRP straps;

α_f

reduction factor;

β

confinement efficiency factor;

γ_RC

influencing factor of size effect on shear contribution provided by RC columns;

γ_f

influencing factor of size effect on shear contribution provided by CFRP jackets;

γ_s

influencing factor of size effect;

ɛ_fe

effective strain of FRP;

ɛ_fu

ultimate strain of FRP;

${\tilde{\epsilon }}^{\mathrm{pl}}$

equivalent plastic strain;

θ

drift ratio;

θ_s

angle between the diagonal shear crack and the axis of columns;

λ

shear-span ratio;

λ_f

FRP characteristic value;

ρ_f

FRP volumetric ratio;

σ_c

compressive stress of concrete;

${\overline{\sigma }}_{\mathrm{cn}}$

effective compressive cohesion stress;

τ

nominal shear strength of columns;

τ_RC

shear strength of RC columns;

τ_RC,300

shear strength of RC columns with cross-sectional height of 300 mm;

τ_b

bond stress between reinforcement and concrete;

τ_cr

cracking bond stress;

τ_f

shear strength provided by FRP;

τ_f,300

shear strength provided by FRP for columns with cross-sectional height of 300 mm;

τ_r

residual bond stress;

τ_u

peak bond stress;

τ_un

bond stress at the unloading point; and

φ

improvement factor of concrete strength.

References