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Materials for engineering, 3rd Edition - (Malestrom)

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Organic polymeric materials 183<br />

such models to predict polymer properties. This type of modelling attempts<br />

to establish quantitative relationships between processes at the molecular<br />

level and the behaviour at the macroscopic level. This approach can be used<br />

as a design tool when it has been successfully tested against experimental<br />

data, permitting the identification of the chemical constitution and the synthesis<br />

or processing conditions required to yield a material with certain prescribed<br />

characteristics.<br />

Given a set of per<strong>for</strong>mance requirements, it is necessary to identify the<br />

monomers to be used, the process of synthesis to be adopted, and the processing<br />

conditions to which the material has to be subjected in order to meet the<br />

specified properties. The first two of these stages fall largely within the<br />

fields of organic chemistry and chemical <strong>engineering</strong>, and the third will<br />

include finite-element calculations of melt flow in processing equipment or<br />

of stress fields in de<strong>for</strong>med structures. The final stage is to describe relationships<br />

between chemical constitution, polymer morphology (e.g. the type and size<br />

of crystallites in semicrystalline polymers, or the size and distribution of<br />

domains in others), and macroscopic properties.<br />

Molecular modelling is employed to provide this final link, by deriving<br />

values of properties or constitutive laws based on fundamental principles of<br />

molecular science. Figure 5.12 illustrates schematically the basis of molecular<br />

modelling approaches to the establishment of structure–property relations in<br />

polymers.<br />

Quantum mechanics can be used to derive the bond lengths, bond angles,<br />

and intermolecular interactions in polymers, while statistical mechanics<br />

provides a link between macroscopically observable behaviour and molecular<br />

geometry and energetics, elucidating molecular mechanisms that govern<br />

material properties. Commercial software packages are available which<br />

incorporate theoretical and simulation techniques, so that modelling methods<br />

(in conjunction with experimental research) are now employed <strong>for</strong> the<br />

development of new polymeric products in industry.<br />

Morphology<br />

Chemical<br />

constitution<br />

Quantum<br />

mechanical<br />

calculations<br />

Intermolecular and<br />

intramolecular<br />

interactions<br />

Statistical<br />

mechanics based<br />

theories and<br />

computer<br />

simulations<br />

Values of<br />

material properties<br />

constitutive laws<br />

Chain organization<br />

microscopic mechanisms<br />

of molecular processes<br />

5.12 In<strong>for</strong>mation flow involved in molecular modelling <strong>for</strong> the<br />

establishment of structure–property relationships.

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