First created: Nov. 9, 2003   Updated: Nov. 9, 2003
2. Poisson ratio greater in nanoparticle

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1. Equal Poisson ratio
2. vLm/vLp vs. ρ/ρ version of this page
3. Poisson ratio of matrix greater than nanoparticle
4. Actual material combinations
   For all the examples on this page, the nanoparticle has a greater Poisson ratio than the matrix. That means that vTp / vLp < vTm / vLm.

Figure 2(a)
sph0cn15.cpp
md5447q.gif md5447k.gif

Notice in the left figure that the dimensionless frequency ξ varies continuously from FSM to BSM as the diagonal is crossed. The Poisson ratios correspond roughly to a gold nanoparticle in a diamond matrix. This continuous variation of ξ is an unusual situation.
Figure 2(b)
sph0cn15.cpp
md5456q.gif md5456k.gif

Figure 2(c)
sph0cn15.cpp
md5445q.gif md5445k.gif

Figure 2(d)
sph0cn15.cpp
md5434q.gif md5434k.gif

Figure 2(e)
sph0cn15.cpp
md5427q.gif md5427k.gif

Note the effect of a large difference in Poisson ratio. Q is never small and the transition from FSM to BSM is smooth.

Daniel Murray
Associate Professor
Math, Stats & Physics Unit
University of British Columbia - Okanagan
Kelowna, BC, Canada
daniel "dot" murray "at" ubc "dot" ca

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