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               720                                                                            Polymers, Mechanical Behavior


                  TABLE II  Comparison of Moduli for Several Different Types of Materials a
                                                                                              Specific properties
                                                              Shear      Bulk
                                                                                              6
                                                                                                        6
                                       Poisson’s  Young’s   modulus, G  modulus, B  Density, ρ  10 E/ρ  10 G/ρ
                                                                                                           2
                                                                                                       2
                                                                                      3
                                                                                                 2
                                                                                             2
                        Material        ratio, µ  modulus, G  (GPa)      (Gpa)    (g cm )   (m /sec )  (m /sec )
                  Metals
                   Cast iron             0.27       90         35         66        7.5      12.0       4.7
                   Steel (mild)          0.28       220        86        166        7.8      28.0      11.0
                   Aluminum              0.33       70         26         70        2.7      26.0       9.6
                   Copper                0.35       120        45        134        8.9      13.5       4.5
                   Lead                  0.43       15         5.3        36        11.0     13.6       4.8
                  Inorganics
                   Quartz                0.07       100        47         39        2.65     38.0      17.8
                   Vitreous silica       0.14       70         31         33        2.20     32.0      14.0
                   Glass                 0.23       60         25         37        2.5      24.0       9.8
                  Polymers
                   Polystyrene           0.33       3.2        1.2        3.0       1.05     3.05      1.15
                   Poly(methyl methacrylate)  0.33  4.15       1.55       4.1       1.17     3.55      1.33
                   Nylon-6,6             0.33       2.35       0.85       3.3       1.08     2.21      0.79
                   Polyethylene (low density)  0.45  1.0       0.35       3.33      0.91     1.1       0.385
                   Ebonite               0.39       2.7        0.97       4.1       1.15     2.35      0.86
                   Rubber                0.49       0.002      0.0007     0.033     0.91     0.002     0.00075
                    a
                    Also included are Poisson’s ratio and density. The last two columns show the specific Young’s and shear moduli.

               contrast to 1 to 3 GPa for compression-molded polyethy-  that any property that is determined, when normalized on
               lene of the same species (i.e., unoriented). The value of  the  basis  of  the  density  of  the  material,  provides  what
               the modulus just quoted is actually greater than what is  is known as a specific property such as specific modu-
               presently achieved with high-strength/high-modulus liq-  lus. This normalization procedure therefore allows com-
               uid crystalline polymeric fibers such as poly-p-aromatic  parisons between all types of structural materials and an
               amide systems. Again it is apparent that molecular ori-  example of this is illustrated in Table II, which provides
               entation  can  strongly  influence  mechanical  parameters.  comparisons of polymers with inorganics as well as metal-
               In addition, an awareness of any previous orientation in-  lic systems. As is noted from Table II, which contains
               ducement  in  a  system  before  its  measurement  may  be  the parameters of Poisson’s ratio, Young’s modulus, shear
               very important in deciding how to test the final material.  modulus, bulk modulus, density, and the specific Young’s
               In  multiphase  or  multicomponent  systems,  the  level  of  modulus and specific shear modulus, the effects of the
               orientation  is  not  necessarily  equal  in  each  phase  (i.e.,  normalization procedure bring many of these materials
               crystalline versus amorphous), and hence if orientation  in line with one another relative to their non-normalized
               is being taken account of, component or phase orienta-  moduli values. When orientation in addition is taken into
               tion should be considered rather than necessarily a sys-  account for polymeric systems, which can drastically alter
               tem average. Indeed, in oriented semicrystalline systems,  the modulus as referred to earlier in this section, the spe-
               typically the crystal phase is much more easily oriented  cific moduli can distinctly exceed that of many metallics
               than that of the remaining amorphous phase. In fact, for  or inorganics as is illustrated in Fig. 28. Here one notes
                                                                                                ®
               fully amorphous systems, the orientation levels obtained  that the material designated as Spectra , which is a very
               are not particularly high by conventional processes. How-  highly oriented and highly crystalline linear polyethylene
               ever, the induced mechanical anisotropy in these systems  fiber material, has a much higher specific tensile strength
               is still very considerable and therefore of great practical  as well as modulus relative to steel or glass fibers.
               importance.
                 Due to the fact that orientation has such an impact on  XI. MISCELLANEOUS CONSIDERATIONS
               mechanical properties, it is one of the principal reasons  AND FINAL REMARKS
               why promoting orientation of the molecular chains is of
               highimportanceinachievinghighstiffnessandotherprop-  Manyimportantparametershavenotbeendiscussedinthis
               erties (along the stretch direction). Of related interest is  article. For example, the wear characteristics of polymer
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