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.