First created: Nov. 7, 2003    Updated: Nov. 9, 2003
1. Equal Poisson ratio case
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1. This page using vLm/vLp vs. ρm/ρp
2. Poisson ratio of nanoparticle greater than matrix
3. Poisson ratio of matrix greater than nanoparticle
4. Actual material combinations
   For all the examples on this page, the nanoparticle and matrix have the same Poisson ratio. That means that
vTp / vLp = vTm / vLm.

Figure 1(a)
sph0cn13.cpp
md5477q.gif md5477k.gif
Numerical problems prevented calculations in the middle black region.
Note discontinuity along Zom = Zop for vLm < vLp
Figure 1(b)
sph0cn15.cpp
md5466q.gif md5466k.gif
Numerical problems prevented calculations in the middle black region.
Note discontinuity along Zom = Zop for vLm < vLp
Figure 1(c)
sph0cn15.cpp
md5455q.gif md5455k.gif
Numerical problems prevented calculations in the middle black region.
Figure 1(d)
sph0cn15.cpp
md5444q.gif md5444k.gif
Numerical problems prevented calculations in the middle black region.
Note discontinuity along Zom = Zop for vLm > vLp
Figure 1(e)
sph0cn15.cpp
md5433q.gif md5433k.gif
Numerical problems prevented calculations in the middle black region.
Note discontinuity along Zom = Zop for vLm > vLp
Figure 1(f)
sph0cn15.cpp
md5422q.gif md5422k.gif
Numerical problems prevented calculations in the middle black region.
Note discontinuity along Zom = Zop for vLm > vLp
Figure 1(g)
sph0cn15.cpp
md5411q.gif md5411k.gif
The picture is only partially complete due to numerical problems.

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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