Page 347 - Mechanics Analysis Composite Materials
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332                Mechanics and analysis of composite materials





                                               P = 6MPa
                            0.8   '         7










                               [     ,      ,     ,     , t,Days(24Hours)
                             0
                               0     5     10    15    20
              Fig. 7.20. Dependence of the circumferential strain on time for a glass-epoxy cylindrical pressure vessel
                                    loaded in steps with internal pressure p.


              7.3.2. Durability

                Composite materials, to be applied to structures with long service life, need to be
              guaranteed for the corresponding period of time from failure that is usually a result
              of an evolutionary process of material degradation in the service environment. To
              provide proper durability of the material, we need, in turn, to study its long-term
              behavior under  load  and  its  endurance  limits. The  most  widely  used  durability
              criteria establishing the dependence of material strength on the time of loading are
              based on the concept of  the accumulation of  material damage induced by  acting
              stresses  and  intensified  by  degrading  influence  of  service  conditions  such  as
              temperature,  moisture  etc.  Particular  criteria  depend  on  the  accepted  models
              simulating the material damage accumulation. Though there exist a microstructural
              approach  to the  durability  evaluation  of  composite materials (see, e.g.  (Skudra
              et al.,  1989)), for  practical  purposes, experimental dependencies of  the  ultimate
              stresses  on  the  time  of  their  action  are  usually  attracted.  Particularly,  these
              experiments allow  us  to  conclude  that  fibers  that  are  the  main  load-carrying
              elements of  composite materials  possess some residual strength  am= a(t -, 00)
              which makes from 50%  to 70% of the corresponding static strength CO= a(t = 0)
              depending on  the  fiber type.  Typical dependencies of  the  long-term strength  of
              composite materials on the time are presented in Fig. 7.21. As can be seen, time of
              loading dramatically affects material  strength.  However,  being  unloaded  at any
              moment  of  time  t  composite materials  demonstrate  practically  the  same  static
              strength that they had before long-term loading.
                Approximation  of  the  curves  shown  in  Fig. 7.21  can  be  performed  using
              exponential functions as follows:
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