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Photo-elasticity 79

                                                   4.9  Photo-elasticity
                                                   For many years, the phenomenon  of photo-elas-
                                                   ticity has been employed in experimental studies
                                                   of stress distribution in bodies of various shapes.
                                                   The effect made use of is  the birefringence that
                                                   occurs in  some materials  and its dependence on
                                                   stress.
                                                     Light  is  in  general  made  up  of  components
                                                   polarized in different directions; if  in  a  material
                                                   the  velocities of  these components  are different,
                                                   the material is said to be birefringent. The birefrin-
                                                   gence is  increased (often from  zero in  stress-free
                                                   material) by stress, commonly being proportional
                                                   to the difference in stress in the two directions of
                                                   polarization. The effect was originally discovered
                                                   in glass; synthetic materials, notably epoxy resins,
                                                   are much more commonly used now.
                                                     In  practice,  a  model  of  the  structure  to  be
                                                   examined is made out of photo-elastic material.
                                                   This is placed in a rig or polariscope  such as the
                                                   one shown in Figure 4.17, and loaded  in a way
                                                   that corresponds to the load imposed on the ori-
                                                   ginal.  By  recombining  components  of  the  light
                                                   ray with polarizations parallel to the two princi-
                                                   pal stresses, fringes are produced, and their posi-
                                                   tion and number give information about strain in
                                                   the  model.  The  first-order  fringe  occurs  when
                                                   there  is  a  phase  difference of  360"  between  the
          Figure 4.16  Distortion  of a pattern under large strain.   components; the nth order when there is a 360"n
          Courtesy, South Australian Institute ofTechnology.   difference.

































          Figure 4.17  Polariscope in use. Courtesy, Sharples Stress Engineers Ltd.
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