Fig. 1 Constitutive relationships and sign convention for tension and compression used in this work More

Fig. 2 Simulated geometry and input (waveguide) port alignment for the two geometrical cases studied: ( a ) horizontal port alignment and ( b ) vertical port alignment More

Fig. 3 Computational model flowchart More

Fig. 4 Relative permittivity showing ( a ) real ( ε ′ ) and ( b ) imaginary ( ε ″ ) components as functions of temperature More

Fig. 5 ( a ) Weibull distribution sampling showing the effect of variations in the shape parameter, m = 2, 3, and 5, and ( b ) the corresponding distribution of Young’s modulus applied to the circular cylinder case, m = 1, 2 (in case ( a ), E y 0 = 45 GPa, while E y 0 = 50 GPa for case... More

Fig. 6 Uniaxial stress-strain and damage results: ( a ) – ( c ) evolution of the damage contours, disp. = 0.34 mm, 0.41 mm, 0.48 mm, ( d ) damage versus axial strain, and ( e ) model validation comparing current work with the results of Yang et al. [ 30 ] More

Fig. 7 Normalized electric field contours showing effect of horizontal and vertical input port alignments ( P = 3 kW; m = 3, basalt): ( a ) E-field, horizontal port alignment and ( b ) E-field, vertical port alignment More

Fig. 8 Surface and interior plane temperatures ( P = 2 kW; m = 3, t = 30 s , yz -plane; vertical port): ( a ) temperature, basalt, ( b ) temperature, granite, and ( c ) temperature, sandstone More

Fig. 9 Surface and interior damage ( P = 2 kW; m = 3, t = 30 s , yz -plane; vertical port): ( a ) damage, basalt, ( b ) damage, granite, and ( c ) damage, sandstone More

Fig. 10 Surface temperature and damage with increasing input power (basalt; m = 3, t = 30 s , yz -plane; vertical port): ( a ) P = 1000 W, ( b ) P = 2000 W, and ( c ) P = 4000 W More

Fig. 11 ( a ) Average surface temperature and ( b ) average interior temperature for increasing power level More

Fig. 12 ( a ) Average surface damage and ( b ) interior surface damage for increasing power levels More

Fig. 1 Sketch of cylindrical dogbone specimen geometry More

Fig. 2 Garofalo model of secondary creep rate using pre-creep experimental data More

Fig. 3 Experimental time to 0.5% and 1% creep strain More

Fig. 4 Larson–Miller rupture model using pre-creep experimental and literature data [ 15 – 19 ] More

Fig. 5 Experimental HCF results for R = −1 at ( a ) 750 °C and ( b ) 850 °C More