Read e-book online Mechanics and Thermomechanics of Rubberlike Solids PDF

By Giuseppe Saccomandi, Raymond W. Ogden (eds.)

ISBN-10: 3211212515

ISBN-13: 9783211212516

ISBN-10: 3709125405

ISBN-13: 9783709125403

This paintings offers for the 1st time an interdisciplinary and deep method of the mathematical modelling of rubber-like fabrics contemplating either the molecular and phenomenological aspect of perspectives. It comprises an creation to the proper numerical innovations and an outline of experimental recommendations and knowledge with a quick survey on a few commercial functions. Elastic and inelastic results are mentioned in info. The publication is acceptable for utilized mathematicians, mechanical engineers, civil engineers, fabric scientists and polymer scientists.

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The nominal stretch rates were ~ = 10- 2 s- 1, ~=¢~:(a) ¢ = 0; (b) ¢ = 2 I 3 . In each case, results are shown for first loading of three nominally identical specimens (indicated by different symbols). 2. Extension and inflation ofa thin-walled tube The test material is moulded into the form of a long, thin-walled tube with initial radius R and wall thickness D (<

A ·04 i ·02 c-'. 0 30 40 Elongation, per cent. 50 60 10 Figure 23. The classic data of Joule (+) and James and Guth (o) showing reversible adiabatic heating during stretching of natural rubber, as plotted by Treloar (1958). 1 Introduction To complement knowledge of material response to varying strain-state, it is necessary to determine the response to varying strain history. Since rubberlike solids are not perfectly elastic, at any instant t the stress in equation (8) and the strain in equation (9) depend not just on the current strain and stress respectively, but also on their history.

Temperature is measured with a device, for example a thermocouple or radiometer, that clearly must respond on a much faster time-scale. If a thermocouple is used, the experimenter must ensure rcond (thermocouple)« rcond (rubber specimen) . (59) We saw in Section 2 that for the rubber specimen of thickness 2 mm, rconct ~ 10 s. The requirement in equation (59) is met by means of a very thin thermocouple junction. U11 thermocouple wire has rconct < 1 ms . The classic results of Joule (1859) and James and Guth (1943) are shown in Figure 23.

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Mechanics and Thermomechanics of Rubberlike Solids by Giuseppe Saccomandi, Raymond W. Ogden (eds.)

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