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Engineering properties of spider silk                             195



                                                Tape/adhesive








                                           Spider silk


                                                   Cardboard
                                                Tape/adhesive

           Figure 6.6 Spider silk mounting on cardboard for testing.

           the density of the fiber. Scanning electron microscope pictures indicated that the cross-
           section of the dragline was approximately circular.
              Samples of the dragline were secured to cardboard tabs for the various kinds of

           tensile tests over a wide range of temperatures ( 75 to 325 C), humidity (wet and
                                                  3
           dry) conditions, and strain rates (3   10  5  to 10 per second).

              All the fibers were conditioned at 21 C, 65% RH for more than 24 h before testing.
           Creep of spider silk and sinusoidal stretching experiments were carried out in the
           micromechanics laboratory of the Engineering Experiment Station at the Georgia Insti-
           tute of Technology. All tests were performed in laboratories maintained at 21   1 C

           and 65% RH   2% RH.
           6.3.2.1  Elastic response in simple elongation

           The ratio of fiber length at any time divided by the gage length l 0 is a measure of the
           strain called the longitudinal stretch ratio l ¼ . The strain in tension, ε elongation is
                                                [
                                                [ 0
                            [ [ 0
           simply ε ¼ l   1 ¼  . The forces involved are divided by the initial cross-sectional
                            [ 0
           area to give Lagrangian stress, or divided by the linear density to give specific stress,
           denoted herein by T.
              The experimental stress-strain data for spider silk show considerable scatter. The
           average deviation from the mean load response at each strain level for spider silk is
           about 24%. With 10 observations, this can be translated into an error of  12% at
           95% probability level.
              Fig. 6.7 shows the individual stress-strain curves and slopes of the stress-strain
           curves as functions of the stretch ratio for the spider silk. The stress-strain curves
           were fitted with cubic spline functions and compared to predictions from finite elastic-
           ity theory, e.g., (Tobolsky, 1960), assuming constant volume and using the initial

                                              E     1
           moduli as the material constants (1 T ¼  l    where T ¼ stress, E ¼ initial
                                              3     l 2
           modulus, and l ¼ stretch ratio). The slope “modulus” of the fiber is not a constant.
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