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∈ ˙ is the strain rate, which is obtained by dividing plate velocity by thermal dissipation length.
For practical purposes it is sufficient to take R as the dissipation length scale.
We divided the frictional heat by the thermal dissipation length w, which we assume to be 2,000 m.
Concave increases of curves are very common, such as autocorrelation, variances, skewness, flickering, state-transition-based local network entropy (SNE) [24], and information dissipation length (IDL) [25].
Filter widths are selected as fixed multiples of the experimentally determined dissipation length scale at each measurement location.
Even when the dissipation length is well resolved, high-Reynolds number flows show indications for positive Lyapunov exponents and thus non-convergent chaotic behaviour see, e.g., Lecoanet et al. (2016).
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The enhanced ductility was explained from the view point of elastic energy dissipation, separation length and shear modulus difference between separated phases.
(b) The shift in damping coefficient Δc equals the dissipation per unit length acting on the cantilever; the shift in dissipation normalized to the fluid viscosity η is provided on the right axis.
While the added mass coefficient a m quantifies the co-moving fluid mass relative to the cantilever mass and is a measure of the inertial loading, the damping coefficient c equals the energy dissipation per unit length acting on the cantilever.
These include the tensile capacity, initial and post-buckling compressive resistance, ductility capacity, energy dissipation, and mid-length lateral deformations of bracing members.
For a beam of fixed length this dissipation was found to be negligible at high and low rates of crack propagation.
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