Master Thesis - OUFTI-1
Master Thesis - OUFTI-1
Master Thesis - OUFTI-1
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
3.6.2 Objective function and CES software<br />
Selecting particular materials and manufacturing process is a complex task that needs<br />
several iterations to be carried through. The procedure used here is based on references<br />
[38] and [39].<br />
The rst step consists in dening one or several objective functions that allow to classify<br />
the materials. In our case, the objective is to obtain a reliable support with a minimal<br />
weight. So, two objective functions can be dened (see Equations 3.6.1 and 3.6.2).<br />
M 1 = E1/2<br />
ρ<br />
(3.6.1)<br />
M 2 = σ2/3 y<br />
(3.6.2)<br />
ρ<br />
where M 1 and M 2 are the performance index to maximize, E is the Young's modulus of<br />
the material, ρ is its density and σ y is its yield stress.<br />
According to these functions, it is possible to use the CES software to realize the material<br />
selection. This powerful software, developed by the Prof. M. ASHBY, includes a<br />
complete material database coupled with a program that classies material with regard to<br />
predined properties.<br />
In our case, the four materials listed in section 3.6.1 were classied using the CES<br />
software. The graphs obtained are presented in Figures 3.8 and 3.9.<br />
Figure 3.8: Classication by density and Young's modulus<br />
53