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Generally Eshelby's problem involves a single inclusion under dilute distribution in two phase composites.
We then study the interaction of a bicrystal grain boundary with a dilute distribution of particles.
A large critical distance allows a relatively dilute distribution of sensitizer and acceptor ions within the lattice to interact and exchange energy at rates faster than their radiative rates.
With the use of the dilute distribution approximation, which assumes that the fibers do not have any interaction with each other, Jeffery's equation separately describes the motion of all M pieces of fibers.
Tensile microcracking of quasi-brittle materials is studied by means of micromechanics, based on (i) an elasto-damaging cohesive zone model accounting for cohesive softening and (ii) a dilute distribution of non-interacting microcracks of uniform orientation and size.
Results show that: (i) orthotropic nonlocal effects follow from homogenization of a dilute distribution of aligned elliptical holes and, in the limit case, of cracks; (ii) even under the dilute assumption and isotropic local effective behaviour, homogenization may lead to effective nonlocal orthotropic properties.
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In the absence of these interactions a dilute H distribution is obtained at realistic bulk H concentrations.
Option grants dilute the distribution of income to individual shareholders; they do not diminish the income of the entire corporate entity itself.
As discussed earlier, silk proteins in a CS15 fiber dilute the distribution density of collagen, causing the downregulation of β-1 integrin expression and a subsequent reduction in the number of focal adhesion complexes, thereby leading to a higher level of cell polarization.
The vulnerability of neurons may be related to their postmitotic state, since accumulated vesicles are not diluted by distribution to daughter cells during cell division.
As the quality of garments gets diluted for wider distribution, simplicity always seems to hit the cutting room floor.
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CEO of Professional Science Editing for Scientists @ prosciediting.com