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Metal Foams: A Design Guide

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202 <strong>Metal</strong> <strong>Foams</strong>: A <strong>Design</strong> <strong>Guide</strong><br />

flux per unit area of structure. In design for the environment, the metric is a<br />

measure of the environmental load associated with the manufacture, use and<br />

disposal of the material. Each performance metric defines an objective: an<br />

attribute of the structure that it is desired to maximize or minimize. Models<br />

are developed for the performance metrics following the method of Chapter 5;<br />

the resulting performance equations contain groups of material properties or<br />

‘material indices’. The material that maximizes the chosen performance metric<br />

has the highest technical merit. But for this to be a viable choice, the performance<br />

must be balanced against the cost.<br />

16.3 Cost modeling<br />

The manufacture of a foam (or of a component made from one) consumes<br />

resources (Table 16.1). The final cost is the sum of these resources. This<br />

resource-based approach to cost analysis is helpful in selecting materials and<br />

processes even when they differ greatly, since all, no matter how different,<br />

consume the resources listed in the table. Thus the cost of producing one<br />

kg of foam entails the cost Cm ($/kg) and mass, m, of the materials and<br />

feedstocks from which it is made, and it involves the cost of dedicated tooling,<br />

Ct ($), which must be amortized by the total production volume, n (kg). In<br />

addition, it requires time, chargeable at an overhead rate CL P (with units of $/h<br />

or equivalent), power P (kW) at an energy cost Ce ($/kW.h), space of area<br />

Table 16.1 The resources consumed in making a<br />

material<br />

Resource Symbol Unit<br />

Materials: inc. consumables Cm $/kg<br />

Capital: cost of equipment Cc $/unit<br />

cost of tooling Ct $/unit<br />

Time: overhead rate CL P $/hr<br />

Energy: power P kW<br />

cost of energy Ce $/kW.h<br />

Space: area A m2 cost of space PCS $/m2 .h<br />

Information: R&D Ci<br />

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