Elastic behavior temperature effects

Polymers exhibit a temperature-dependent elastic-viscoplastic behavior. Temperature effects can influence the stability of geotextUes. Both tensile strength and elongation... 

The Weissenbeig Rheogoniometer (49) is a complex dynamic viscometer that can measure elastic behavior as well as viscosity. It was the first rheometer designed to measure both shear and normal stresses and can be used for complete characterization of viscoelastic materials. Its capabilities include measurement of steady-state rotational shear within a viscosity range of 10-1 —13 mPa-s at shear rates of 10-4 — 104 s-1, of normal forces (elastic effect) exhibited by the material being sheared, and of an oscillatory shear range of 5 x 10-6 to 50 Hz, from which the elastic modulus and dynamic viscosity can be determined. A unique feature is its ability to superimpose oscillation on steady shear to provide dynamic measurements under flow conditions all measurements can be made over a wide range of temperatures (—50 to 400°C). 

Thus different phase behaviors of polyrotaxanes induced different thermal transitions. One-phase or two-phase materials can be obtained simply by proper choice of the components. The easy introduction of highly flexible cyclic components such as crown ethers with low T% surely expands the applications of otherwise brittle polymers into the low temperature range and also improves elasticity. The plasticizing effect of the crown ether is different from that of a normal plasticizer, because the cyclic is permanently connected to the backbone and no migration can occur. 

Figure 3.17 Mooney-Rivlin plots [Eq. (3.38)] showing the effect of strain-induced crystallization on the elastic behavior of highly crystallizable poly(cw-1,4-butadiene) networks at selected temperatures (17,18). The illed circles and the vertical lines have the same meaning as in Fig. 3.16. (From Ref. 15.)...

The Young s modulus of polycrystalline NiAl with a stoichiometric composition is about 235 GPa at room temperature (Harmouche and Wolfenden, 1987). The elastic moduli are functions of the composition, and the Young s modulus reaches a maximum of slightly more than 235 GPa, not at the stoichiometric composition as is expected, but at about 48 at.% Al which may be related to the difference in the defect character on both sides of stoichiometry. The effect of excess vacancies, which are produced by quenching from high temperatures, on the elastic behavior was studied... 

The major or exclusive constituent of yellow brass is P brass which is the intermetallic CuZn phase. It exhibits an A2 structure at high temperatures and a B2 structure at low temperatures, i.e. there is an order-disorder transition at about 460°C (Flinn, 1986 Massalski et al., 1990). Its range of homogeneity - between about 40 and 50 at.% Zn at higher temperatures - depends sensitively on temperature and does not include the stoichiometric 50 at.% composition at intermediate temperatures. This order-disorder transition has been used to study the effect of ordering, e.g. on elastic behavior (Westbrook, 1960 a Quillet and Le Roux, 1967), diffusion (Qirifalco, 1964 Hagel, 1967 Wever et al., 1989 Wever, 1992), recrystallization (Cahn, 1991), and hardness (Westbrook, 1960 a). 

Moreover, rubbers exhibit unique thermo-elastic effects unknown in metals, as noted first by Gough as early as 1805. Gough (1805) reported two distinctive responses, namely that (a) a rubber when held stretched under a constant force contracts reversibly on heating, and (b) it gives off heat reversibly when stretched at constant temperature (Treloar 1975). These important characteristics that were confirmed later by Joule (1859) are now referred to as the Gough-Joule effect and are key in the mechanistic understanding of the elastic behavior of rubbers. 

This chapter deals with viscoelastic behavior in the liquid state, particular emphasis being placed upon those aspects associated with the flow properties of polymer melts and concentrated solutions. The time-dependent response of polymers in the glassy state and near the glass transition, one variety of viscoelasticity, was discussed in Chapter 2. The concern in this chapter is the response at long times and for temperatures well above the glass transition. The elastic behavior of polymer networks well above the glass transition was discussed in Chapter 1. The conditions here are similar, and elastic effects may be very important in polymeric liquids, but steady-state flow can now also occur because the chains are not linked together to form a network. All the molecules have finite sizes, and, for flexible-chain polymers, the materials of interest in this chapter, the molecules have random-coil conformations at equilibrium (see Chapters 1 and 7). 

Melt Viscosity. The study of the viscosity of polymer melts (43—55) is important for the manufacturer who must supply suitable materials and for the fabrication engineer who must select polymers and fabrication methods. Thus melt viscosity as a function of temperature, pressure, rate of flow, and polymer molecular weight and stmcture is of considerable practical importance. Polymer melts exhibit elastic as well as viscous properties. This is evident in the swell of the polymer melt upon emergence from an extmsion die, a behavior that results from the recovery of stored elastic energy plus normal stress effects. 

Different viscoelastic materials may have considerably different creep behavior at the same temperature. A given viscoelastic material may have considerably different creep behavior at different temperatures. Viscoelastic creep data are necessary and extremely important in designing products that must bear long-term loads. It is inappropriate to use an instantaneous (short load) modulus of elasticity to design such structures because they do not reflect the effects of creep. Viscoelastic creep modulus, on the other hand, allows one to estimate the total material strain that will result from a given applied stress acting for a given time at the anticipated use temperature of the structure. 

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