By I. M. Ward
Presents a finished creation to the mechanical behaviour of stable polymers. greatly revised and up to date all through, the second one version now contains new fabric on mechanical relaxations and anisotropy, composites modelling, non-linear viscoelasticity, yield behaviour and fracture of difficult polymers.
The obtainable process of the ebook has been retained with each one bankruptcy designed to be self contained and the speculation and functions of the topic rigorously brought the place applicable. the newest advancements within the box are incorporated along labored examples, mathematical appendices and an intensive reference.
- Fully revised and up to date all through to incorporate the entire newest advancements within the field
- Worked examples on the finish of the chapter
- An important source for college kids of fabrics technological know-how, chemistry, physics or engineering learning polymer science
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Extra resources for An Introduction to the Mechanical Properties of Solid Polymers
J. Mech. Phys. Solids, 41, 427 (1993). 14. , Comput. Theor. Polym. , 9, 27 (1999). 15. Stepto, R. F. T. and Taylor, D. J. , Macromol. , 93, 261 (1995). 16. Stepto, R. F. T. and Taylor, D. J. , J. Chem. Soc. , 91, 2639 (1995) 17. Flory, P. , Crescenzi, V. and Mark, J. , J. Am. Chem. , 67, 3202 (1971). 18. Taylor, D. J. , Stepto, R. F. , Jones, R. , Macromolecules, 32, 1978 (1999). 19. Cail, J. , Taylor, D. J. , Stepto, R. F. , Macromolecules, 33, 4966 (2000). Problems for Chapters 2 and 3 1. The tensile stress ó in an ideal rubber when simply extended to a length º times its initial length is given by ó ¼ NkT (º2 À ºÀ1 ) Explain without giving any mathematical details the physical model that leads to this expression.
9. 5), where the basic deformation also involves the extension of a molecular network. 273 MPa, n ¼ 75. (Reproduced with permission from Treloar, The Physics of Rubber Elasticity, 3rd edn, Oxford University Press, Oxford, 1975) Although we have seen how the extension to non-Gaussian statistics gives rise to a very large increase in tensile stress at large extensions, in the case of natural rubber it has been proposed that the observed increase in tensile stress occurs primarily because of strain-induced crystallization.
Between successive points of cross-linkage. Then G ¼ NkT ¼ rRT =M c where r is the density of the rubber and R is the gas constant. 4 Modiﬁcations of the simple molecular theory The equation of state deduced above rests on many simplifying assumptions: freely jointed chains of negligible volume and with a Gaussian distribution of endto-end lengths that give rise to no changes in internal energy on deformation. We mention brieﬂy some of the investigations regarding those approximations, but direct the reader who requires further information to Treloar’s monograph .
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