Statistical modeling of heterogeneous micro-beams

Experimental and numerical investigation of fatigue of thin tensile specimen

“…Variation in elastic properties of neighboring grains plays a major role in the overall effective properties of micro scale devices [31]. Altus [31] presented an approximate analytical modeling of a micro beam wherein the effect of the variations in stiffness was considered.…”

“…Altus [31] presented an approximate analytical modeling of a micro beam wherein the effect of the variations in stiffness was considered. Studies such as these were shown to be crucial for the reliability of devices especially at a micro scale and therefore relevant to thin sheet structural components.…”

Fracture mechanics of a randomly heterogeneous double cantilever beam

“…Similar definitions have been introduced elsewhere (Altus 2001(Altus , 2003. The length λ 0 is proportional to (the same order of) a characteristic distance in which a statistical correlation exists.…”

“…By the FPM (Altus, 2001;Altus and Givli, 2003;Altus and Totry, 2003), a random variable J , which is a functional of N stochastic material properties, say…”

“…The first is useful for design and the second is important for material characterization. To achieve these goals, we expand and generalize the Functional Perturbation Method (FPM), recently developed for heterogeneous beam structures (Altus, 2001;Altus and Givli, 2003;Altus and Totry, 2003;Givli and Altus, 2003). The stochastic heterogeneity yields an additional scale (pseudo grain size), causing a fracture related size effect, which is also explored.…”