$A_l$ and $A_b$	The total areas of the cross-sections of the laser-processed and unprocessed metals respectively
$A_{l,sup}$ and $A_{l,inf}$	The supremum and infimum bounds of the cross-section area of the laser-processed metal
$A_{pl}$	The cross-sections area of the plate
$A_{l,rem}$	The cross-sections area of the remelted laser-processed metal due to overlapping the adjacent laser-processed metal tracks
$A_{ov}$	The cross-sections area of the two adjacent overlapping laser-processed metal tracks
$A_{tr,1}$	The cross-sections area of the single track of the laser-processed metal
B	Cross-section axial stiffness of a plate
$b_{pl}$	Width of a plate
$b_l$	Width of the laser-processed area
$d_t$ and $d_c$	The width of the laser-processed tracks and the distance between centers of two adjacent laser-processed tracks respectively
$E_i$, $E_{1,i}$, $G_i$, and ${\nu }_i$, $i\in \left\{b,l\right\}$	Modulus of elasticity, strength coefficient, shear modulus and Poisson’s ratio of the base metal, when $i=b$, and the laser-processed metal, when $i=l$ respectively
FEA	Finite element analysis
$F_{calc}$	The vertical force imposed in the middle of the plate span calculated by FEA
$F_{exp}$	Experimentally determined vertical force imposed in the middle of the plate span
$N$, $N_b$ and $N_l$	The axial forces acting in the total cross-section of the plate, in the cross-section of the base metal and in the cross-section of the laser-processed metal respectively
$n_s\in \left\{1,2\right\}$	The number of laser-processed sides
$n_{tr}$ and ${\widehat{n}}_{tr}$	Number and estimated number of the laser-processed tracks
$w$	The deflection or the vertical displacement of the plate midpoint
$ϵ$	Linear strain
${ϵ}_{1,i}$, $i\in \left\{b,l\right\}$	Yield stress strains of the base, i.e., laser-unprocessed, and laser-processed metals respectively
$\sigma$	The normal stress
${ϵ}_{ul}$, ${ϵ}_{ul,i}$, $i\in \left\{b,l\right\}$	Ultimate strains of the base, i.e., laser-unprocessed, and laser-processed metals respectively
${\sigma }_b$ and ${\widehat{\sigma }}_b$	The stress-strain function and its approximation of the base, i.e., laser-unprocessed, metal respectively
${\widehat{\sigma }}_l$	The approximation of the stress-strain function of the laser-processed metal
${\sigma }_{0.2,i}$, ${\sigma }_{B,i}$, $i\in \left\{b,l\right\}$	Yield strengths and ultimate strength of the base metal and the laser-processed metal respectively