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Both numerical and experimental methods to obtain results at the small length scales are discussed.
It is the complex interplay between the applied stress and the internal residual stresses induced by the nanoscale surface that affects the mechanical behavior in the amorphous nanowires at the small length scale regime.
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These models must begin at the smallest length scales relevant for concrete properties; in some cases this is the scale of electron interactions among atoms and ions.
By contrast, (multi-point) Gaussianity may be lost at the smaller length scales when one uses methods with random wave numbers.
The size-dependence of the pressurization rate from thermite composites of Al nanoparticles and geometry-controlled 3DOM CuO reveals that the thermite reaction has the highest combustion rate at the smallest length scale where the gaseous diffusion still surpasses condensed-phase diffusion.
Since it is not feasible to simulate an entire industrial-scale bubble column in full detail from first principles (direct numerical simulations), higher-level models rely on algebraic closure relations to account for the most important physical phenomena prevailing at the smallest length and time scales, while keeping computational demands low.
Since the ROM of a joint is thought to be determined by the passive slack length (i.e. the smallest length at which any force is exerted) of the muscle tendon complex in relation to bone length and by the muscle tendon complex stiffness, improved knowledge of the changes in muscle morphology will likely provide insight into the etiology of reduced ROM.
It is shown via both calculation and stochastic simulation that at these small length scales the MM equation breaks down, being replaced by a new more general equation.
The creation of structures and devices calls for an understanding of the mechanical properties of materials at these small length scales.
Across all codends, the smallest lengths at 50% probability of retention (L50) were estimated for longspine flathead, redfish (Centroberyx affinis: Berycidae) and longfin gurnard (Lepidotrigla argus: Triglidae) in the 5-mm 200-mesh codend.
Due to the Weibull nature of the fibers, the fiber strengths at the smaller gauge length of the slip length are stronger; therefore fewer fibers undergo damage.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com