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352                             Handbook of Properties of Textile and Technical Fibres

         into microfibrils with diameters that are multiples of 4 nm. The flexibility of collagen
         molecules and fibrils allows both load transmission and energy storage (Silver, 2006).
            The ability of collagen molecules to self-assemble into fibrils occurs not only in tis-
         sues but also in vitro. The self-assembly of collagen molecules from solutions of type I
         collagen is a model that has been used to understand the structure and mechanical
         behavior of collagen fibers in tissues. Results of self-assembly studies in vitro have
         shown that crosslinking is a very important step in converting collagen fibers that
         deform primarily in a viscous fashion into energy storing elements (Silver et al., 2000).



         11.6   Viscoelastic behavior of collagen fibers


         Collagen fibers are viscoelastic and exhibit time-dependent mechanical behavior
         (Fig. 11.5). Viscoelasticity may be important in resisting impact loads especially in
         the musculoskeleton; however, it complicates the understanding of ECM behavior
         since most real-time measurements made on these tissues contain both elastic and
         viscous contributions (Dunn and Silver, 1983). The elastic behavior varies from as
         high as about 75% of the total stress for tendon to as low as about 50% for skin



                 × 10 5


               5
               4
              Stress (Pa)  3


               2

               1

               0
                 0       0.02     0.04      0.06     0.08     0.1      0.12
                                            Strain
         Figure 11.5 Tensile stressestrain curve for decellularized dermis. The loading (upper curve)
         and unloading curves (lower curve) for decellularized human dermis tested uniaxial tension are
         shown. The loading curve is above the unloading curve due to energy loss during the cycle.
         The unloading curve does not recover immediately but returns to zero strain after a recovery
         time of about 30 min. This time dependence of the recovery strain is a manifestation of the
         viscoelasticity of human dermis. The time dependence of the mechanical properties of ECMs is
         manifested by the strain-rate dependence of the stressestrain curve, the recovery time for the
         sample to achieve zero strain, and the dependence of the modulus on the strain-rate. The
         modulus of collagenous tissues is time and strain-rate dependent and varies from about
         0.5 MPa for cardiovascular tissue to over 20 GPA for bone.
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