ABSTRACT

In this chapter we extend the study of the dynamic properties of polymer liquids in two new

directions. In Chapter 9 we considered only dilute solutions, but here we will consider also very

concentrated solutions and molten polymers. In Chapter 9 we also focused on the steady-flow

viscosity, or the diffusion over long time intervals; now we will examine the time-or frequency-

dependent response of polymer liquids to an imposed deformation or force. This response can be

characterized by a variety of material functions, such as the viscosity, the modulus, and the compliance. In general, we will find that polymer liquids are viscoelastic, i.e., their behavior is intermediate between (elastic) solids and (viscous) liquids. The phenomenon of viscoelasticity is

familiar to anyone who has played with Silly Putty. If you roll some into a ball, and leave it for a

few hours, it flows to adopt the shape of its container. This behavior is that of a liquid; it just takes

a long time because the viscosity is very high. On the other hand, if you stretch a sample very

rapidly, and immediately release one end, the sample will partially recover toward its original

dimensions. This recovery is an elastic response, and is more typical of solids than liquids. The

previous chapter concerned the elasticity of polymer networks, and important results from that

discussion will be directly incorporated into our treatment of viscoelasticity.