New PDF release: An Introduction to the Mechanical Properties of Solid
By I. M. Ward
Offers a finished advent to the mechanical behaviour of reliable polymers. greatly revised and up-to-date all through, the second one variation now contains new fabric on mechanical relaxations and anisotropy, composites modelling, non-linear viscoelasticity, yield behaviour and fracture of difficult polymers.
The available technique of the publication has been retained with each one bankruptcy designed to be self contained and the speculation and functions of the topic conscientiously brought the place acceptable. the most recent 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 all of the most up-to-date advancements within the field
- Worked examples on the finish of the chapter
- An useful source for college students of fabrics technological know-how, chemistry, physics or engineering learning polymer science
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Extra info for An Introduction to the Mechanical Properties of Solid Polymers
This difference is related to changes in entropy, and so to tensile force. 2, we can restrict our discussion to the case of normal strain without loss of generality. We choose principal extension ratios º1 , º2 and º3 parallel to the three rectangular coordinate axes x, y and z. The afﬁne deformation assumption implies that the relative displacement of the chain ends is deﬁned by the macroscopic deformation. 7 we take a system of coordinates x, y and z in the undeformed body. In this coordinate system a representative chain PQ has one end P at the origin.
M. , Polymers: Chemistry and Physics of Modern Materials (2nd edn), Blackie Academic & Professional, London, 1997. Gedde, U. , Polymer Physics, Chapman and Hall, London, 1995. Hamley, I. , The Physics of Block Copolymers, Oxford University Press, Oxford, 1998. , Introduction to Physical Polymer Science (3rd edn), Wiley, New York, 2001. , Structure of Crystalline Polymers, Wiley, New York, 1979. Ward, I. , Mechanical Properties of Solid Polymers (2nd edn), Wiley, Chichester, 1983. Ward, I. , Structure and Properties of Oriented Polymers (2nd edn), Chapman and Hall, London, 1997.
5. The strain energy function for an ideal rubber is U ¼ C1 (º21 þ º22 þ º32 À 3) where º1 , º2 , º3 are the principal extension ratios. Derive the stress–strain relations for the following: (i) Simple extension º1 ¼ º produced by a force applied in the 1 direction; (ii) An equal two-dimensional extension º1 ¼ º2 ¼ º, produced by the simultaneous application of equal forces in the 1 and 2 directions. 6. A non-Gaussian rubber has a strain-energy function U ¼ C1 (º21 þ º22 þ º23 À 3) þ C2 (º21 º22 þ º22 º23 þ º21 º23 À 3) Derive the stress–strain relation for a simple extension º1 ¼ º produced by a force applied in the 1 direction, and hence show that the low strain tensile modulus for this rubber is given by E ¼ 6(C1 + C2 ).
An Introduction to the Mechanical Properties of Solid Polymers by I. M. Ward