Sentence examples for by a length scale from inspiring English sources

To facilitate numerical simulations, Equations 1 and 2 can be expressed into dimensionless forms with h, x, and y normalized by a length scale l 0 and t normalized by a time scale, t 0.

Sheet motion is regularized by adding a length scale cutoff to the Biot Savart kernel.

The common feature of these two modelling approaches is that the required effective stress is calculated by using a length scale which depends on the microstructural material morphology.

By choosing a length scale, L, and velocity scale, U, the equation can be expressed in nondimensional form containing the Reynolds number, Re = UL/ν.

The grid map used is characterized by two parameters: a length scale Δs and the origin of the map.

By using measurements with a length scale small enough to properly resolve the neck, its growth and shape can be studied.

To solve this issue, an enrichment to the Mazars damage model is proposed by means of introduction of a length scale, in which the local equivalent strain is replaced by the nonlocal equivalent strain through a nonlocal formulation.

Localized damage and failure of composites often lead to spurious mesh dependence and zero energy dissipation due to the lack of a length scale by using finite element analysis.

The essential characteristic of the nonlocal model is the incorporation of a length scale, by which the constitutive law at a material point of a continuum depends on not only this point but also its certain neighborhood.

We find that the shape and position fluctuations of a current carrying wire induce a strong Gaussian correlated random potential with a length scale set by the atom-wire separation.

There must be a length scale controlled by diffusion above which different regions of space are effectively independent of one another on the time scale of the molecular lifetime.