\newcommand{\symbollistlabel}[1]{\mbox{#1}\hfil}
\newenvironment{symbollist}[1]
   {\begin{list}{}{\let\makelabel\symbollistlabel\settowidth{\labelwidth}{#1}
                   \setlength{\leftmargin}{1.1\labelwidth}}}
   {\end{list}}

\begin{symbollist}{12345678}
   \item[$\alpha$] tool rake angle
   \item[$\alpha_\mr{L}$] angle of longitudinal wave travelling in medium A with
   normal to its boundary
   \item[$\alpha_\mr{T}$] angle of transverse wave travelling in medium A with normal
   to its boundary
   \item[$\beta$] proportion of heat conducted into the work
   \item[$\beta_\mr{L}$] angle of longitudinal wave travelling in medium B with
   normal to its boundary
   \item[$\beta_\mr{T}$] angle of transverse wave travelling in medium B with normal
   to its boundary
   \item[$\delta$] ratio of secondary plastic zone thickness to chip thickness
   \item[$\Delta s_1$] thickness of primary parallel-sided shear zone
   \item[$\Delta s_2$] thickness of secondary deformation zone
   \item[$\Delta T_\mr{AB}$] temperature rise in the primary shear plane
   \item[$\Delta T_\mr{C}$] mean temperature rise in the chip
   \item[$\Delta T_\mr{max}$] maximum temperature rise in the chip
   \item[$\Delta T_\mr{SZ}$] temperature rise in the primary shear zone
   \item[$\epsilon$] uniaxial strain
   \item[$\dot{\epsilon}$] uniaxial strain rate
   \item[$\dot{\epsilon}_0$] constant in velocity-modified temperature equation
   \item[$\epsilon_\mr{AB}$]  primary uniaxial strain
   \item[$\dot{\epsilon}_\mr{AB}$] primary uniaxial strain rate
   \item[$\dot{\epsilon}_{ij}$] tensor notation for strain rate
   \item[$\dot{\epsilon}_\mr{int}$] secondary uniaxial strain rate
   \item[$\eta$] correction factor because not all primary plastic work occurs on the
   shear plane
   \item[$\gamma$] shear strain; plane strain
   \item[$\dot{\gamma}$] shear strain rate; plane strain rate
   \item[$\gamma_\mr{AB}$] primary shear strain
   \item[$\dot{\gamma}_\mr{AB}$] primary shear strain rate
   \item[$\gamma_\mr{EF}$] total shear strain occurring on the primary shear zone
   \item[$\dot{\gamma}_\mr{int}$] secondary shear strain rate
   \item[$\kappa$] conductivity
   \item[$\lambda$] tool-chip interface friction angle
   \item[$\mu$] coefficient of friction
   \item[$\nu$] constant in velocity-modified temperature equation
   \item[$\omega$] angle representing the size of built-up edge
   \item[$\phi$] primary shear angle
   \item[$\psi$] correction factor because interface temperature is an average value
   \item[$\rho$] density
   \item[$\rho_\mr{B}$] density of dislocation obstacles
   \item[$\rho_\mr{D}$] density of dislocations
   \item[$\rho_\mr{MD}$] density of mobile dislocations
   \item[$\sigma$] uniaxial stress; normal stress
   \item[$\sigma_1$] constant of proportionality in empirical stress-strain equation
   \item[$\sigma_\mr{AB}$] primary normal stress
   \item[$\sigma_{ij}$] tensor notation for applied stress
   \item[$\sigma_\mr{int}$] secondary normal stress
   \item[$\sigma_\mr{max}$] maximum normal stress
   \item[$\sigma_\mr{mean}$] standard deviation of mean frequency
   \item[$\sigma_\mr{N}$] normal stress at the cutting edge
   \item[$\sigma'_\mr{N}$] normal stress at the cutting edge
   \item[$\tau$] shear stress
   \item[$\tau^*$] thermal activated stress required for material to flow
   \item[$\tau^*_0$] value of $\tau^*$ at 0~K
   \item[$\tau_\mr{A}$] athermal stress required for material to flow
   \item[$\tau_\mr{AB}$] primary shear stress
   \item[$\tau_\mr{B}$] shear stress required to overcome dislocation obstacles
   \item[$\tau_\mr{D}$] shear stress required to overcome damping forces
   \item[$\tau_\mr{int}$] secondary shear stress
   \item[$\theta$] angle between primary shear plane and resultant cutting force
   \item[$a$] wave attenuation coefficient
   \item[$A$] constant; common heat transfer area between elements
   (finite-difference); area of contact between element and surrounding air
   (finite-difference)
   \item[$A_\mr{AB}$] primary shear plane area
   \item[$A_\mr{int}$] tool-chip interface area
   \item[$b$] Burgers vector
   \item[$b_\mr{edge}$] Burgers vector of pure edge dislocation
   \item[$b_\mr{screw}$] Burgers vector of pure screw dislocation
   \item[$B$] constant; intercept; damping coefficient
   \item[$c$] specific heat
   \item[$c_\mr{AL}$] velocity of longitudinal wave in medium A
   \item[$c_\mr{AT}$] velocity of transverse wave in medium A
   \item[$c_\mr{BL}$] velocity of longitudinal wave in medium B
   \item[$c_\mr{BT}$] velocity of transverse wave in medium B
   \item[$c_\mr{L}$] velocity of longitudinal wave
   \item[$c_\mr{T}$] velocity of transverse wave
   \item[$C$] primary strain rate empirical constant
   \item[$C_1$] heat flow coefficient (finite-difference)
   \item[$C_2$] heat flow coefficient (finite-difference)
   \item[$C_3$] heat flow coefficient (finite-difference)
   \item[$C_4$] heat flow coefficient (finite-difference)
   \item[$C_5$] heat flow coefficient (finite-difference)
   \item[$C_6$] heat flow coefficient (finite-difference)
   \item[$C_\mr{S}$] side cutting angle
   \item[$d$] distance; distance between elements (finite-difference)
   \item[$d_\mr{B}$] distance between dislocation obstacles
   \item[$e$] convergence error criterium (finite-difference)
   \item[$f$] frequency
   \item[$f_i$] frequency at index $i$
   \item[$f_\mr{max}$] frequency of maximum spectrum value
   \item[$f_\mr{mean}$] mean frequency
   \item[$F$] force acting on a dislocation
   \item[$F_\mr{AB}$] force tangential to the primary shear plane
   \item[$F_\mr{B}$] force due to a dislocation obstacle
   \item[$F_\mr{B}^\mr{max}$] maximum force due to a dislocation obstacle
   \item[$F_\mr{D}$] damping force
   \item[$F_\mr{int}$] force tangential to the tool-chip interface; sliding friction
   force on tool-chip interface
   \item[$F_\mr{X}$] tangential force
   \item[$F'_\mr{X}$] corrected  tangential force for orthogonality
   \item[$F_\mr{Y}$] feed force
   \item[$F'_\mr{Y}$] corrected feed force for orthogonality
   \item[$F_\mr{Z}$] radial force
   \item[$F'_\mr{Z}$] corrected radial force for orthogonality
   \item[$h$] heat convection coefficient (finite-difference)
   \item[$i$] element index in $x$ direction (finite-difference)
   \item[$I$] amplitude
   \item[$I_0$] initial amplitude
   \item[$I_i$] acoustic emission amplitude at index $i$
   \item[$I_\mr{max}$] maximum amplitude
   \item[$I_\mr{mode}$]  acoustic emission mode
   \item[$I_\mr{power}$] acoustic emission power
   \item[$I_\mr{RMS}$] acoustic emission root mean square
   \item[$I_\mr{S}$] remotely sensed acoustic emission amplitude
   \item[$j$] element index in $y$ direction (finite-difference)
   \item[$k$] shear flow stress; plane stress; shear strength; element index in $z$
   direction (finite-difference)
   \item[$k_\mr{AB}$] primary shear flow stress
   \item[$k_\mr{int}$] secondary shear flow stress
   \item[$K$] constant of proportionality
   \item[$K_1$] factor for signal attenuation
   \item[$K_2$] factor for signal attenuation
   \item[$K_3$] factor for signal attenuation
   \item[$l$] distance
   \item[$l_1$] sticking zone length
   \item[$l_2$] sliding zone length
   \item[$l_\mr{AB}$] primary shear plane length
   \item[$l_\mr{C}$] length of a piece of chip
   \item[$l_\mr{D}$] dislocation length
   \item[$l_\mr{int}$] tool-chip interface length
   \item[$m$] constant; slope; index; coefficient of chip contact length; number of
   block subdivisions in $x$ direction, resulting in $m + 1$ elements
   (finite-difference)
   \item[$n$] index; empirical stress-strain equation index; number of samples;
   parabolic constant; slope of line in logarithmic scale; number of block
   subdivisions in $y$ direction, resulting in $n + 1$ elements (finite-difference)
   \item[$n_1$] index
   \item[$n_2$] index
   \item[$N$] total number of counts; iteration number (finite-difference)
   \item[$\dot{N}$] count rate
   \item[$N_\mr{AB}$] force normal to the primary shear plane
   \item[$N_\mr{int}$] force normal to the tool-chip interface
   \item[$o$] number of block subdivisions in $z$ direction, resulting in $o + 1$
   elements (finite-difference)
   \item[$\dot{Q}_1$] heat flow into the element in positive $x$ direction (finite-difference)
   \item[$\dot{Q}_2$] heat flow into the element in negative $x$ direction (finite-difference)
   \item[$\dot{Q}_3$] heat flow into the element in positive $y$ direction (finite-difference)
   \item[$\dot{Q}_4$] heat flow into the element in negative $y$ direction (finite-difference)
   \item[$\dot{Q}_5$] heat flow into the element in positive $z$ direction (finite-difference)
   \item[$\dot{Q}_6$] heat flow into the element in negative $z$ direction (finite-difference)
   \item[$\dot{Q}_\mr{cond}$] heat conduction between neighbouring elements
   (finite-difference)
   \item[$\dot{Q}_\mr{conv}$] heat convection between peripheral element and
   surrounding air (finite-difference)
   \item[$r$] ratio of uncut to cut chip thickness; acoustic impedance
   \item[$r^2$] coefficient of multiple regression
   \item[$r_\mr{A}$] acoustic impedance of material A
   \item[$r_\mr{B}$] acoustic impedance of material B
   \item[$R$] resultant cutting force
   \item[$R_1$] resultant force on the chip along the primary shear plane
   \item[$R_2$] resultant force on the chip along the tool-chip interface
   \item[$R_\mr{T}$] non-dimensional thermal number
   \item[$S_i$] signal power at frequency at index $i$
   \item[$t$] time
   \item[$t_1$] feed rate; uncut chip thickness
   \item[$t'_1$] corrected feed rate for orthogonality
   \item[$t_2$] chip thickness
   \item[$T$] temperature; temperature of element (finite-difference)
   \item[$T'$] temperature of neighbouring element (finite-difference)
   \item[$T_\infty$] temperature of surrounding air (finite-difference)
   \item[$T_1$] temperature of thermocouple 1
   \item[$T_2$] temperature of thermocouple 2
   \item[$T_\mr{AB}$] primary shear plane temperature
   \item[$T_\mr{C}$] mean chip temperature
   \item[$T_\mr{int}$] tool-chip interface temperature
   \item[$T_\mr{mode}$] velocity-modified temperature
   \item[$T_\mr{M}$] melting temperature
   \item[$T_\mr{W}$] workpiece temperature
   \item[$T_\mr{WS}$] workpiece surface temperature
   \item[$u$] specific cutting power
   \item[$u_\mr{A}$] surface specific power
   \item[$u_\mr{C}$] frictional specific power
   \item[$u_\mr{M}$] momentum specific power
   \item[$u_\mr{S}$] shear specific power
   \item[$\dot{U}$] total cutting power; work of deformation
   \item[$\dot{U}_\mr{AB}$] primary shear energy consumption
   \item[$\dot{U}_\mr{B}$] power transmitted by a dislocation to an obstacle
   \item[$\dot{U}_\mr{D}$] damping power
   \item[$v$] volume
   \item[$v_\mr{int}$] secondary deformation volume
   \item[$V$] cutting speed
   \item[$V_\mr{B}$] length of flank wear land
   \item[$V_\mr{C}$] chip velocity
   \item[$V_\mr{D}$] dislocation speed
   \item[$V_\mr{N}$] velocity normal to primary shear plane
   \item[$V_\mr{S}$] shear velocity (tangential to primary shear plane)
   \item[$w$] width of cut
   \item[$w'$] corrected width of cut for orthogonality
   \item[$W_\mr{C}$] weight of a piece of chip
   \item[$x$] distance
   \item[$x_0$] initial distance
   \item[$x^1$] position where an obstacle starts opposing dislocation movement
   \item[$x^2$] position where an obstacle ends opposing dislocation movement
   \item[$x_\mr{D}$] distance moved by a dislocation
   \item[$x^\mr{max}$] position of maximum force due to a dislocation obstacle
   \item[$y$] distance
\end{symbollist}
