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Master Thesis - OUFTI-1

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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

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