Numerical Simulation of the Temperature and Stress Field Evolution Applied to the Field Assisted Sintering Technique

Table 2

Properties of R7710 (graphite) and alumina as functions of temperature (273.15 K < T < 2500 K).

Material	R7710 [1]	Al2O3 [2]
Density (kg·m^−3)	1880	3970
Specific heat (J·kg^−1·K^−1)	−1.0𝐸−10𝑇^4+9.0𝐸−7𝑇^3−0.0027𝑇^2+3.8485𝑇−137.12	−126.5317+8.1918𝑇−6.1058𝐸−3𝑇^2+2.3104𝐸−6𝑇^3−3.4204𝐸−10𝑇^4
Thermal conductivity (W·m^−1·K^−1)	2.0𝐸−11𝑇^4−1.0𝐸−7𝑇^3+0.0003𝑇^2−0.2722𝑇+161.63	76.4488−0.18978𝑇+1.9596𝐸−4𝑇^2−8.9466𝐸−8𝑇^3+1.4909𝐸−11𝑇^4
Electric conductivity (S/m)	−2.0𝐸−11𝑇^5+2.0𝐸−7𝑇^4−0.0004𝑇^3+0.3383𝑇^2−55.777𝑇+72213	1.0𝐸8
Young’s modulus (Pa)	−8.0𝐸−7𝑇^5+0.0046𝑇^4−9.1496𝑇^3+9084.2𝑇^2−3.0𝐸6𝑇+1.0𝐸10	215𝐸9
Poisson’s ratio	0.32	0.32
Thermal expansion coefficient (K^−1)	1.0𝐸−16𝑇^3−9.0𝐸−13𝑇^2+3.0𝐸−9𝑇+4.0𝐸−6	8.0𝐸−6