Page 205 - Academic Press Encyclopedia of Physical Science and Technology 3rd Polymer
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               714                                                                            Polymers, Mechanical Behavior


                                                                 important points. Cross-linking tends to decrease the mag-
                                                                 nitude of the glass transition, loss behavior and sometimes
                                                                 causes it to broaden, as might be expected due to an influ-
                                                                 ence on the spreading of the relaxation times for coopera-
                                                                 tive backbone motion. Addition of plasticizer tends to de-
                                                                 crease the glass transition temperature and often broaden
                                                                 the loss response, although different plasticizers function
                                                                 in quite different ways in influencing the breadth of the
                                                                 respective loss behavior. This allows some control of the
                                                                 thermal  range  over  which  damping  occurs.  Antiplasti-
                                                                 cizers can, in fact, depress or eliminate one or more of
                                                                 the sub-T g  loss responses due to limiting the mobility of
                                                                 the corresponding molecular group responsible for that
                                                                 transition.
                                                                   As a final example demonstrating the utility of dynamic
                                                                 mechanical spectra, let us consider the impact behavior
                                                                 of polymeric systems. It is well known that bisphenol A
                                                                 polycarbonate is a very high impact glassy polymer under
                                                                 ambient conditions, whereas atactic polystyrene is a brittle
                                                                 glass under similar high loading rate or impact conditions.
                                                                 The glass transition temperature of polycarbonate at low
                                                                                  ◦
                                                                 frequencies  is  ∼150 C,  whereas  that  of  polystyrene  is
                                                                 taken to be ∼100 C; hence, polycarbonate can be viewed
                                                                               ◦
                                                                      ◦
                                                                 as 50 “deeper” in the glassy state than polystyrene at
                                                                 room  temperature.  The  latter  phrase  should  be  taken
                                                                 lightly and is meant only to elucidate the difference be-
                                                                 tween these two polymers in terms of impact properties.
                                                                 That is, the impact characteristics do not arise from the fact
               FIGURE 19  (a) Plot of the real part of dynamic Young’s modulus
                                                                 that polystyrene has a lower T g ! Specifically, the dynamic
               E  versus temperature for a lightly cross-linked epoxy (1 C/min).
                                                       ◦
                                                                 mechanical  spectrum  of  bisphenol  A  polycarbonate  is
               The three intermediate lines represent intermediate frequencies
               with respect to the two that are labeled. (b) Plot of log frequency  shown in Fig. 20. Bisphenol A polycarbonate displays a
               versus 1/T max  for the same epoxy material. The T max  values were  particularly strong sub-T g  dissipation mechanism, which
               obtained from the tan δ data not shown. [Reprinted with permis-  may well assist in dissipating energy when the glass is
               sion from Wetton, R. E., and Stone, M. R. (1983). Proc. Trans.
               Relax. Polym. Mater., Melbourne, 1983.]           rapidly  loaded.  Polystyrene  displays  a  low-temperature
                                                                 loss mechanism, but it is not of great magnitude; hence,
                                                                 this  polymer  exhibits  less  mobility  in  the  glassy  phase
               greatly with a change in frequency. However, this is not to  (data not shown). This indicates the potential use of dy-
               indicate that there is no change, for in fact the breadth of  namic mechanical spectroscopy in looking for differences
               the transition may often undergo alteration over a range of  in dissipative modes of energy below the glass transition
               loading frequencies. This clearly must be correlated with  temperature. Another important feature is apparent from
               a distribution in the relaxation times associated with the  Fig. 21, which illustrates the frequency dependence of the
               specific mechanism responsible for a given loss peak, be  loss peaks of polycarbonate. In particular, due to the strong
               it a side group rotation, cooperative backbone motion, or  sensitivity of the sub-T g peak to loading rate, the peak
               otherwise.                                        rapidly shifts upward under high loading rate conditions
                                                                 and may well be operative under ambient conditions as
                                                                 a prime source for dissipating mechanical energy placed
               A.  Factors Influencing Dynamic Loss Behavior
                                                                 into the material. The actual mechanism is more complex,
               As might be expected, variables that affect dynamic me-  but the point here is to illustrate the worth of dynamic
               chanical behavior are such important factors as level of  mechanical spectroscopy in light of a very important
               cross-linking, the presence of plasticizer, and phase sep-  mechanical property, namely, impact strength. Note that
               aration as may occur in block or segmented copolymers,  the loss peak associated with T g shifts upscale with
               polymer blends, and semicrystalline systems. Though we  loading rate at only about 3 to 5 C/decade, as discussed
                                                                                            ◦
               cannot explore all of these effects, we shall make a few  earlier.
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