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Metal Foams: A Design Guide

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Cost estimation and viability 211<br />

increased payload that this allows (Table 16.2). The value of heat transfer can<br />

be derived from the value of the energy transmitted or saved by unit change in<br />

the heat flux per unit area. Approximate exchange constants can sometimes be<br />

derived from historical pricing data; thus the value of weight saving in bicycles<br />

can be found by plotting the price Ł P of bicycles against their mass m, using<br />

the slope dP/dm as a measure of ˛. Finally, exchange constants can be found<br />

by interviewing techniques (Field and de Neufville, 1988; Clark et al., 1997),<br />

which elicit the value to the consumer of a change in one performance metric,<br />

all others held constant.<br />

Table 16.2 Exchange constants ˛ for transport systems<br />

Sector: Transport Basis of estimate Exchange constant<br />

systems £/kg ($/lb)<br />

Car, structural<br />

components<br />

Truck, structural<br />

components<br />

Civil aircraft,<br />

structural<br />

Military vehicle,<br />

structural<br />

Space vehicle,<br />

structural<br />

Bicycle, structural<br />

components<br />

Fuel saving 0.5 to 1.5 (0.4 to 1.1)<br />

Payload, fuel saving 5 to 10 (4 to 8)<br />

Payload 100 to 500 (75 to 300)<br />

Payload, performance 500 to 1000 (350 to 750)<br />

Payload 3000 to 10 000 (2000 to 75 000)<br />

Perceived value<br />

(derived from data for<br />

price and mass of<br />

bicycles)<br />

80 to 1000 (50 to 700)<br />

The values of ˛ in Table 16.2 describe simple trade-offs between cost and<br />

performance. Circumstances can change these, sometimes dramatically. The<br />

auto-maker whose vehicles fail to meet legislated requirements for fleet fuel<br />

consumption will assign a higher value to weight saving than that shown in<br />

Table 16.2; so, too, will the aero-engine maker who has contracted to sell an<br />

engine with a given power-to-weight ratio if the engine is overweight. These<br />

special cases are not uncommon, and can provide the first market opportunity<br />

for a new material.<br />

Ł For any successful product the cost, C, the price, P, and the value, V, are related by CVno one will buy it. Thus P can be viewed<br />

as a lower limit for V.

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