Table 3.

Definition of the heat generation term.

Process	Reference	Heat Generation Rate (W/m3)	Heat Absorption Rate (W/m3)	Parameters
RW	[61,67,73,159]	${\dot{Q}}_{gen}=\frac{I^{2}R}{V}$ ${\dot{Q}}_{crys}=X_{mr}{H}_f\rho \frac{d{X}_{vc}}{dt}$	${\dot{Q}}_{melt}=X_{mr}{H}_f\rho X_{vc}\frac{d{X}_f}{dt}$ where $\frac{d{X}_f}{dt}=K_{0}exp\left(\frac{-E_a}{GT}\right){\left(1-X_f\right)}^n$	I—applied current (A) V—volume of the heating element (m3) R—resistance of the heating element (Ω) f—frequency of the coil (Hz) µ—magnetic permeability of the composite H—magnetic field intensity (Wb) A—cross sectional area of the conductive loop (m2) Rf—electrical resistance of the conductive fibers (Ω) Hf—enthalpy of fusion (J/kg) Xmr—mass fraction of matrix Xvci—initial crystallinity of the composite Xj—degree of melting Ea—activation energy (J/mol) K0—pre-exponential factor n—kinetic order G = gas constant (8.314 J/mol.K)
IW	[24,74,161]	${\dot{Q}}_{gen}=\frac{4{\pi }^2{f}^2{\mu }^2{H}^2{A}^2}{R_f}$ ${\dot{Q}}_{crys}=X_{mr}{H}_f\rho \frac{d{X}_{vc}}{dt}$
UW	[89,162]	${\dot{Q}}_{gen}=\frac{E’’\omega }{2}{\epsilon }^2$		E’’—loss modulus (MPa) ε—amplitude strain (mm) ω—vibration frequency of the sonotrode (Hz) αh—empirical hammering correction factor (0 < αh < 1)
	[150]	${\dot{Q}}_{gen}={\alpha }_h^2\frac{E’’\omega }{2}{\epsilon }^2$