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Master Thesis - OUFTI-1

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Figure 4.4: Illustration of the experimental set-up for a torsion test [44]<br />

If the PCB mass and dimensions are known, the density of the PCB is easily found<br />

using Equation 4.2.2.<br />

ρ P CB = m P CB<br />

V P CB<br />

(4.2.2)<br />

where m P CB is the mass of the PCB and V P CB is its volume. It is important to note that<br />

this equation is based on the implicit assumption that the thickness is constant over the<br />

entire PCB (which it is not always the case as it can be observed in Figure 4.2).<br />

An other important fact to keep in mind is that all the tests must be performed on the<br />

etched PCB because, as it was already mentioned, manufacturing will induce changes in<br />

the PCB properties, like loss of mass or stiness.<br />

4.2.4 Choice of mesh element<br />

After the denition of the PCB properties, it remains to choose the type of mesh<br />

elements which will be used to mesh the PCB. In accordance with the particular geometry<br />

of this type of structure, two possibilities can be pointed up:<br />

• Volume elements<br />

• Shell elements<br />

In this particular case, the shell elements are the best solution because a PCB can be<br />

linked to a thin structure. Indeed, these elements allow to obtain results as accurate as if<br />

volume elements were used, but they require less computation time and memory, which is<br />

a great advantage in the current world of industry.<br />

To convince ourselves of this fact, let us use the two solutions on a simple example.<br />

Consider a steel plate with an area of 10×10 cm. The properties of this particular material<br />

are well known:<br />

76

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