By I. M. Ward
Offers a finished advent to the mechanical behaviour of good 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 obtainable method of the booklet has been retained with each one bankruptcy designed to be self contained and the idea 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 newest advancements within the field
- Worked examples on the finish of the chapter
- An necessary source for college students of fabrics technology, chemistry, physics or engineering learning polymer science
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Additional resources for An Introduction to the Mechanical Properties of Solid Polymers
Ward, I. , Mechanical Properties of Solid Polymers (2nd edn), Wiley, Chichester, 1983. 10. Ball, R. , Edwards, S. , Polymer, 22, 1010 (1981). 11. Edwards, S. F. , Polymer, 27, 483 (1986). 12. Arruda, E. M. and Boyce, M. , J. Mech. Phys. Solids, 41, 389 (1993). 13. Wu, P. D. , 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.
This latter problem was ﬁrst analysed mathematically by Kuhn  and by Guth and Mark . 3). The probability distribution for the position of the end Q is derived using approximations that are valid provided that the distance between the chain ends P and Q is much less than the extended chain length nl. 4). The most probable end-to-end length is not, however, zero, as the probability that Q falls within an elemental volume situated between r and (r + dr) from the origin, irrespective of direction, is the product of the probability distribution p(r) and the volume of the concentric shell, 4ðr 2 dr.
The forces are then resolved into their nine components in the x, y and z directions as follows: P1 : ó xx , ó xy , ó xz P2 : ó yx , ó yy , ó yz An Introduction to the Mechanical Properties of Solid Polymers I. M. Ward and J. 1 P2 σyx σyy The components of stress P3 : ó zx , ó zy , ó zz where the ﬁrst subscript refers to the direction of the normal to the plane on which the stress acts, and the second subscript to the direction of the stress. As the cube is in equilibrium the net torque acting on it is zero, which implies the equalities: ó xy ¼ ó yx , ó xz ¼ ó zx , ó yz ¼ ó zy The components of stress are therefore deﬁned by six independent quantities: the normal stresses óxx , óyy and ózz , together with the shear stresses óxy , óyz and ózx .
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