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1656_C02.fm  Page 52  Thursday, April 14, 2005  6:28 PM





                       52                                    Fracture Mechanics: Fundamentals and Applications




                           TABLE 2.4
                           K  Solutions for Common Test Specimens a
                             I

                                                                 f   a   *
                                        GEOMETRY                   W 
                                Single Edge Notched Tension (SENT)   πa
                                                                 2tan
                                                                     2W    +     a  
                                                                              .
                                                                         .
                                                                    πa   0 752 2 02  W  
                                                                 cos               
                                                                    2W
                                                                         πa
                                                                +  .     − 037 1 sin  2W    3    
                                 Single Edge Notched Bend (SE(B))     S  a
                                                                    3
                                                                     W  W       199 −  a
                                                                                .
                                                                    a   a  32    W
                                                                             /
                                                                   +
                                                                21 2    1−
                                                                    W   W 
                                                                                       2
                                                                 1−  a       a    +   a    
                                                                                        
                                                                      2 15 3 93
                                                                  W     .  − .   W   2 7 .   W  
                                                                     
                                                                                        
                                  Center Cracked Tension (CCT)
                                                                  π     πa  a     −    a   2
                                                                              .
                                                                 4 W  sec   2 W      1 0 025  W 
                                                                       a    4 
                                                                    .
                                                                  + 006   
                                                                       W    
                                Double Edge Notched Tension (DENT)  πa
                                                                  2 W    .  − .    a   − .    a   2
                                                                                    0 205
                                                                      1 122 0 561
                                                                    a         W      W 
                                                                 1−
                                                                   W
                                                                       a    3   a    4 
                                                                    .
                                                                  + 0 471  + 0 190  
                                                                             .
                                                                       W      W    
                                      Compact Specimen               a
                                                                  2 +                       2
                                                                    W    0886 464  a    − 1332  a  
                                                                         .
                                                                            + .
                                                                                       .
                                                                 1−  a    32     W     W  
                                                                      /
                                                                  W 
                                                                       a    3   a    4 
                                                                  + 14 72  − 5 60  
                                                                    .
                                                                             .
                                                                       W      W    
                                  P    a 
                           *K =      f     where B is the specimen thickness.
                              I
                                BW     W 
                            a  Taken from Tada, H., Paris, P.C., and Irwin, G.R., The Stress Analysis of Cracks Handbook. 2nd Ed., Paris
                            Productions, St. Louis, MO, 1985.
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