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. 2019 Feb 13;12(4):557. doi: 10.3390/ma12040557
hi Initial shape height (mm)
hf Final shape height (mm)
Di Initial relative density
Df Final relative density
J Electric current density (A/m2)
E Electric field (V/m)
J Electric current density norm (A/m2)
E Electric field norm (V/m)
σelec Electric conductivity (S/m)
ρ Density (kg/m3)
Cp Heat capacity (J/(kg·K))
T Temperature (K)
κ Thermal conductivity (W/(m·K))
σ_ Stress tensor (N/m2)
σeq Equivalent stress (N/m2)
ε˙_ Strain rate tensor (s−1)
ε˙eq Equivalent strain rate (s−1)
tr(ε˙_)  Trace of the strain rate tensor (s−1)
φ Shear modulus
ψ Bulk modulus
Pl Sintering stress (N/m2)
𝕚 Identity tensor
θ Porosity
θ˙ Porosity rate (s−1)
α Surface energy (J/m2)
r Grain radius (m)
e˙ First strain rate tensor invariant (s−1)
γ˙ Second deviatoric strain rate tensor invariant (s−1)
n Power law creep stress exponent
A Power law creep material deformability (Pa−n·s−1)
A0 Power law creep material deformability preexponential constant (Pa−n·s−1)
R Gas constant 8.314 J/(mol·K)
Q Power law creep material deformability activation energy (J/mol)
φconv Convective heat flux (W/m2)
hconv Convective heat flux coefficient (W/(m2·K))
Twater Water temperature (300 K)
Tsolid Calculated solid temperature (K)
Jrad Surface radiosity (W/m2)
σs Stefan Boltzmann constant (5.67 × 10−8 W·m−2 K−4)
ϵ Emissivity
G Thermal irradiation flux (W/m2)
Nr Refractive index
eb(T) Surface radiation produced (W/m2)
refl Reflected radiative heat flux (W/m2)
φrss Net inward radiative heat flux (W/m2)
n Normal unit vector
Jn Imposed normal electric current density (A/m2)
Jc Contact current density (A/m2)
ECR Electric surface contact resistance (Ω·m2)
Ui Contact i face electric potential (V)
q˙c Contact heat flux (W/m2)
TCR Thermal surface contact resistance (m2·K/W)
Ti Contact i face temperature (K)
u Displacement vector (m)
p External applied pressure (Pa)
σelec Porous Electric conductivity for the porous phase (S/m)
σelec Dense Electric conductivity for the dense phase (S/m)
κelec Porous Thermal conductivity for the porous phase (W/(m·K))
κelec Dense Thermal conductivity for the dense phase (W/(m·K))
ρelec Porous Density for the porous phase (kg/m3)
ρelec Dense Density for the dense phase (kg/m3)
CP Porous Heat capacity for the porous phase (J/(kg·K))
CP Dense Heat capacity for the dense phase (J/(kg·K))