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202                                     Chapter 5  Stress–Strain Relationships and Behavior

                         Table 5.2 Elastic Constants for Various Materials at Ambient
                         Temperature
                                                  Elastic Modulus  Poisson’s Ratio
                                                          3
                          Material                E,GPa (10 ksi)       ν
                          (a) Metals
                          Aluminum               70.3     (10.2)      0.345
                          Brass, 70Cu-30Zn       101      (14.6)      0.350
                          Copper                 130      (18.8)      0.343
                          Iron; mild steel       212      (30.7)      0.293
                          Lead                   16.1      (2.34)     0.44
                          Magnesium              44.7      (6.48)     0.291
                          Stainless steel, 2Ni-18Cr  215  (31.2)      0.283
                          Titanium               120      (17.4)      0.361
                          Tungsten               411      (59.6)      0.280
                          (b) Polymers
                          ABS, medium impact      2.4      (0.35)     0.35
                          Acrylic, PMMA           2.7      (0.40)     0.35
                          Epoxy                   3.5      (0.51)     0.33
                          Nylon 66, dry           2.7      (0.39)     0.41
                          Nylon 66, 33% glass fibers  9.5   (1.38)     0.39
                          Polycarbonate           2.4      (0.345)    0.38
                          Polyethylene, HDPE      1.08     (0.157)    0.42
                          (c) Ceramics and glasses
                          Alumina, Al 2 O 3      400      (58.0)      0.22
                          Diamond                960     (139)        0.20
                          Magnesia, MgO          300      (43.5)      0.18
                          Silicon carbide, SiC   396      (57.4)      0.22
                          Fused silica glass     70       (10.2)      0.18
                          Soda-lime glass        69       (10.0)      0.20
                          Type E glass           72.4     (10.5)      0.22
                          Dolomitic limestone    69.0     (10.0)      0.281
                          Westerly granite       49.6      (7.20)     0.213
                         Sources: Data in [Boyer 85] p. 216, [Creyke 82] p. 222, [Kaplan 95]
                         pp. B-146 to B-206, [Karfakis 90], [Kelly 86] pp. 376, 392, [Kelly 94]
                         p. 285, [Morrell 85] Pt. 1, p. 96, [PDL 91] Vol. I-B, pp. 133–136, and
                         [Schwartz 92] p. 2.75.

            strongly bound covalent solids. Metals have intermediate values, and polymers generally have low
            values due to the effect of secondary bonds between chain molecules. Some representative values
            for various materials are given in Table 5.2.

            5.3.1 Elastic Constants

            A material that has the same properties at all points within the solid is said to be homogeneous, and
            if the properties are the same in all directions, the material is isotropic. When viewed at macroscopic
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