Page 260 - Handbook of Properties of Textile and Technical Fibres
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234                             Handbook of Properties of Textile and Technical Fibres


                                             Breaking
            (Strength)                       point
            breaking
             load                                         Yield
                                                          point
                     Yield                           F
                     point
                                                                 Meredith (1945)
             Yield
                                                Original  length  L o
             load
                Load (F)      (work of rupture)  Extension  Δ L  Yield
                                Toughness
                                                     F    point
                                                                Coplan and Singer
                                                                  (July 1953)
                    θ            34
               Stiffness =  Yield            Breaking
              initial modulus   elongation (%)  elongation (%)
                    Yield point
               = tan Θ
         Figure 7.4 The loadeelongation curve.
            The loadeelongation curve may take different shapes depending on the dynamics
         of the internal fiber structure during the loading process and the nature of fiber fracture
         (brittle, ductile, or fibrillar). Fig. 7.4 illustrates a general form of the loadeelongation
         curve, from which different strength parameters can be estimated. Typical stresse
         strain curves for different cotton varieties are shown in Fig. 7.5. A summary of the
         parameters that can be obtained from the stressestrain curve is presented below
         (Elmogahzy, 2009a; Elmogahzy and Chewning, 2001; ASTM D1445-05; Lord,
         2003; Zurek, 1975; Peirce, 1926; Morton and Hearle, 1975; Meredith, 1945; Coplan
         and Singer, July 1953).

                 50.000
                                 Egyptian cotton  Egyptian cotton
                 45.000                                      Pima
                 40.000
                                               Upland-long
                 35.000                                   Acala
               Tenacity (gf/tex)  25.000  Upland-short
                 30.000


                 20.000
                 15.000
                 10.000
                  5.000
                  0.000
                      0     2     4     6     8     10    12     14    16
                                           Strain (%)
         Figure 7.5 Typical tenacityestrain curves of different cotton types. Dr. Elmogahzy Research
         Achieves (2009).
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