By I. M. Ward
Offers a accomplished advent to the mechanical behaviour of sturdy polymers. commonly revised and up-to-date all through, the second one variation now comprises new fabric on mechanical relaxations and anisotropy, composites modelling, non-linear viscoelasticity, yield behaviour and fracture of tricky polymers.
The obtainable strategy of the ebook has been retained with every one bankruptcy designed to be self contained and the speculation and functions of the topic conscientiously brought the place acceptable. the newest advancements within the box are integrated along labored examples, mathematical appendices and an in depth reference.
- Fully revised and up-to-date all through to incorporate the entire most recent advancements within the field
- Worked examples on the finish of the chapter
- An necessary source for college students of fabrics technological know-how, chemistry, physics or engineering learning polymer science
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Additional resources for An Introduction to the Mechanical Properties of Solid Polymers
3. 20). 6). 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.
In particular, the molecular structurebased Monte-Carlo p(r) reﬂects clearly the limited extensibility of chains in the true network. 4 above but there is a new factor s, which is a function of º and quantitatively accounts for the Mooney–Rivlin softening. In this theory, softening arises because some chains in the deformed network reach their full extensibility so that on further deformation these chains do not give a contribution to the reduction in entropy and hence to the network stress, which is correspondingly reduced.
1) we have @U 1 ¼ 2C1 º À 2 f ¼ @º º (2:6) This familiar equation is more usually represented as a consequence of the molecular theories of a rubber network. Here we see that it follows from purely phenomenological considerations as a simple constitutive equation for the ﬁnite deformation of an isotropic, incompressible solid. Materials that obey this relationship are sometimes called neo-Hookean. e. Hooke’s law. References 1. Timoshenko, S. and Goodier, J. , Theory of Elasticity, McGraw-Hill International Editions, New York, 1970.
An Introduction to the Mechanical Properties of Solid Polymers by I. M. Ward