Fig. 1 Concept of finite weakest-link model: ( a ) chain model for macroscopic structure, and ( b ) hierarchical model for the resistance corresponding to the formation of one particular localization zone More about this image found in Concept of finite weakest-link model: ( a ) chain model for macroscopic str...

Fig. 2 Scaling of the probability distribution of structural resistance: ( a ) size effect on the distribution function, and ( b ) size effect on the mean resistance More about this image found in Scaling of the probability distribution of structural resistance: ( a ) siz...

Fig. 3 Level excursion model in two-dimensional More about this image found in Level excursion model in two-dimensional

Fig. 4 ( a ) Mean size effect curve of the structural resistance predicted by the level excursion model and ( b ) comparison with the measured size effect on the fiber strength [ 70 ] More about this image found in ( a ) Mean size effect curve of the structural resistance predicted by the ...

Fig. 5 Measured strength distributions of quasi-brittle structures and their optimum fits by the weakest-link model: ( a ) sintered α − silicon carbide (SiC) ceramics [ 72 ], ( b ) silicon nitride ceramics (Si 3 N 4 ) [ 73 ], ( c )Si 3 N 4 with sintering additive (Si 3 N 4 –Al 2 O 3 –Y 2 ... More about this image found in Measured strength distributions of quasi-brittle structures and their optim...

Fig. 6 Measured size effect on the strength distribution of flexural specimens made of cold asphalt mixtures More about this image found in Measured size effect on the strength distribution of flexural specimens mad...

Fig. 7 ( a ) Schematic of uniaxial tensile test on poly-Si MEMS specimens and ( b ) zoom-in view of the sidewall geometry More about this image found in ( a ) Schematic of uniaxial tensile test on poly-Si MEMS specimens and ( b ...

Fig. 8 Optimum fitting of the strength distributions of poly-Si MEMS specimens of different lengths by the level excursion model: ( a ) and ( b ) test data from Ref. [ 76 ], and ( c ) and ( d ) test data from Ref. [ 78 ] More about this image found in Optimum fitting of the strength distributions of poly-Si MEMS specimens of ...

Fig. 9 Analysis of mechanical response of uniaxial tension specimen made of a strain-softening material: ( a )problem setup, ( b ) stress–strain curve, ( c ) probability distribution of the peak load capacity, and ( d ) probability distribution of total energy dissipation of the bar More about this image found in Analysis of mechanical response of uniaxial tension specimen made of a stra...

Fig. 10 Hemispherical shell under external pressure: ( a ) problem setup and ( b ) numerically generated random geometric imperfections More about this image found in Hemispherical shell under external pressure: ( a ) problem setup and ( b ) ...

Fig. 11 Simulated probability distributions of the critical buckling pressure of shells with different sizes of the imperfection zone More about this image found in Simulated probability distributions of the critical buckling pressure of sh...

Fig. 12 Effect of the number of potential buckling locations on the mean buckling pressure More about this image found in Effect of the number of potential buckling locations on the mean buckling p...

Fig. 13 Schematic of trapping-assisted breakdown mechanism of high– k gate dielectrics More about this image found in Schematic of trapping-assisted breakdown mechanism of high– k gate dielect...

Fig. 14 Measured lifetime distributions of high– k gate dielectrics and their optimum fits by the weakest-link model and the two-parameter Weibull model More about this image found in Measured lifetime distributions of high– k gate dielectrics and their opti...

Fig. 15 Effect of the gate area on the median lifetime of high– k gate dielectrics under different applied voltages: ( a ) V 0 = 2.7 V and ( b ) V 0 = 2.8 V More about this image found in Effect of the gate area on the median lifetime of high– k gate dielectrics...

Fig. 16 Concept of safety factors for reliability-based structural design More about this image found in Concept of safety factors for reliability-based structural design