Role of Mortar Joints in Textile Reinforced Mortar-to-Masonry Bond

Acknowledgments

Notation

A_f

cross section area of the longitudinal fibers;

A_y

cross section area of a single yarn;

d_r

TRM half-strip(≡textile)-to-substrate relative displacement;

d_r,deb

TRM half-strip(≡textile)-to-substrate relative displacement at debonding load;

d_r,max

TRM half-strip(≡textile)-to-substrate relative displacement at maximum load;

E

elastic modulus of a single yarn;

e_BL,max

elongation of the TRM half-strip(≡textile) at maximum load;

F

load carried by each TRM strip;

F_deb

experimental value of debonding load (carried by each TRM half-strip);

F_deb,an

analytical value of debonding load (carried by a single yarn);

F_max

experimental value of maximum load (carried by each TRM half-strip);

F_max,an

analytical value of maximum load (carried by a single yarn);

F_res

residual load carried by each TRM half-strip after failure;

f_t

tensile strength of the textile;

f_TRM

tensile strength of the TRM;

k₁

inclination of the first ascending branch of the CML;

k₂

inclination of the second descending branch of the CML;

L_eff

effective BL (experimentally derived);

L_eff,an

analytical effective BL (computed);

n

number of longitudinal (load aligned) yarns;

P

piston applied force;

p

yarn contact perimeter with the matrix;

s_max

textile's slippage at maximum load;

u

yarn-to-matrix relative displacement;

u_f

yarn-to-matrix relative displacement at residual shear stress;

ɛ_xx

axial strain at load direction;

σ_max

maximum axial textile stress;

τ

shear stress of the yarn-to-matrix interface;

τ_f

residual shear stress of the yarn-to-matrix interface;

τ_max

bond strength of the yarn-to-matrix interface; and

ω

parameter for the simplification of the equations.

References