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78  Measurement of strain






























          Figure 4.15  Brittle lacquer used on a specimen Courtesy, Photolastic Division, Measurements Group Inc


           A layer of special lacquer is carefully and consist-   through  another grating that is comparable but
          ently  applied  to  the  surface  to  be  studied.  The   not  identical,  dark and brighter  regions-called
          lacquer is dried under controlled conditions, where-   “fringes”-will  alternate. The dark regions corres-
          upon it becomes brittle and therefore cracks if and   pond  to where spaces in one grating block  light
          when the part is strained above a certain threshold.   that has come through gaps in the other grating;
          Moreover, the higher the surface strain, the closer   bright  regions  arise  when  the  gaps  are  super-
          together are the cracks. It is best to coat a calibra-   posed. The small difference between the gratings
          tion bar in the same way and at the same time as the   can  be  one  of  orientation,  or  of  separation  of
          test  part.  Bending the  bar  then  gives  a  range  of   their  elements.  For  instance,  if  one grating  has
          known  strains  along  it  and  the  crack  pattern   1000 lines per centimeter  and its neighbor  1001
          observed at different points on the live surface can   lines, there will be a dark fringe every centimeter,
          be compared with that seen on the calibration bar.   with bright ones in between them. Now suppose a
           In this way, the critical points where there are   1000-line  grating  is  etched  on  a  surface  and
          the highest stresses on the surface of a structure   another placed just  above it; a  strain of   in
          can  be  quickly recognized  and  the  strain  levels   the surface will change the former into a 1001-line
          identified  within  about  *25  percent  (of  those   grating and mean that fringes (seen in this case in
          levels) over a range of strains from 0.05 per cent   light reflected off  the surface) appear every cen-
          to 0.2 percent.  Because the cracks form perpen-   timeter.  The  larger  the  strain,  the  more  closely
          dicularly  to  the  maximum  principal  stress,  the   spaced the fringes.
          technique has the considerable additional advant-   Fringes appearing parallel to the original grat-
          age of showing the directions of principal stresses   ing lines will be a measure of the direct strain of
          all over a structure. Figure 4.15 shows the sort of   one grating relative to the other. Fringes appear-
          crack pattern that can be observed.      ing perpendicular to the original grating lines will
                                                   indicate  rotation  of  one  grating  relative  to  the
                                                   other.  In  general the fringes will  be  at an angle
          4.8.2  Patterns on surfaces
                                                   to the grating lines; therefore one pair of gratings
          Large  strains  can  be  determined  simply  by   will give a direct strain and a shear strain compon-
          inscribing a pattern on a surface and noting how   ent. Two pairs, Le., a grid or mesh, will give two
          it  changes.  Figure  4.16  shows  the  changes  of   direct strains and the associated shear strain and
          shape observed in one such investigation.   will thus permit  a complete surface strain deter-
            Using moire fringes can increase the sensitivity   mination  to be  made,  i.e.,  principal  strains and
          to  smaller  strains.  When  a  fine grating  is  seen   principal strain directions.
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