The behaviour of complex materials under stress is described in terms of entities which are not strictly 'physical properties'. These so-called 'quasi-properties' range from entities hardly distinguishable from dimensionally true physical properties to concepts which are much less clearly defined.Quasi-properties measure an ordered process towards equilibrium rather than a state of equilibrium. The Newtonian definition for equality of tune intervals which leads to the concepts velocity, acceleration, momentum and force having whole-number dimensional exponents, does not apply to 'quasi-equilibrium states'. In order to keep the Newtonian time scale, fractional differential equations are introduced.The simplest fractional differential equation relating stress, strain and time integrates to a series equation whose first term is a simple power law (Nutting's equation) already known to describe the behaviour of many complex materials under constant stress. The physical meaning of the fractional differential is considered.An apparatus is described for loading test-pieces of plastics and the like under tension or compression at constant stress to a preselected strain, and for following the subsequent stress dissipation; and the results of tests on thirty-eight materials are studied statistically.Introducing a second term from the series equation (and, very rarely, a third term) greatly improves the fit for materials for which Nutting's equation is inadequate and explains hitherto unaccountable anomalies when the Nutting plot is otherwise satisfactory. Constants derived by the equation from constant-stress and constant-strain conditions are compared.The form of the series equation suggests that the relative importance of the second term may sometimes disclose the presence of undissipated stresses in the materials.The accuracy of tests on individual test-pieces is high, but, on account of frequent lack of homogeneity in the samples available, the use of the unmodified Nutting equation is often adequate even when the addition of a second term would significantly improve individual curves.Some alternative treatments are discussed, but, both theoretically and practically, the fractional differential approach is preferred for most of the materials tested.
Mature teleme cheese producedfrom ultrafiltered milk has the disadvantage ofa sandy texture as well as a small difference in its traditional taste due to the incorporation of whey protein. Batches ofcow's milk, 300 kg each, were concentrated in an ultrajiltration unit. The addition of 0.5 per cent sodium chloride and ripening of the milk with a lactic starter so that the pH was reduced to 6.2 before beginning the ultrafiltration improved substantially the texture and the taste ofthe cheese. The yield ofthe experimental cheese is approximately 9 per cent higher than that of the control.
The results of a series of determinations of the freezing-point depressions of the milk of the individual cows of a Shorthorn herd over a period of 16 months are reported.The relative constancy of the freezing-point was confirmed, all but two values deviating by less than 4·5% from the mean Δ values.Significant seasonal trends were observed, especially during the spring when the supply of ample amounts of young grass may cause the production of milk with somewhat smaller freezing-point depressions.Systematic trends in the differences between the Δ of morning and evening milk were found, the evening values being generally higher, except for the winter period, during which the cows were housed at night, when the morning Δ values became the higher. The differences appear to depend on the changes in the temperature of environment to which the cows are exposed. These observations provide an explanation for the discrepancies reported in the literature.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.