Using the formulation and boundary condition results of the thin notch crack problem shown in Fig. 8.29,

Question:

Using the formulation and boundary condition results of the thin notch crack problem shown in Fig. 8.29, explicitly develop the stress components given by relations (8.4.56) and (8.4.57).

Fig 8.29

1 ( 0 B= 2-  X

Equation 8.4.56

Or = 31 3 3 5 3^ (sin 20 +5 sin) + (cox 0 + c)] B 3 3 58 -4, [1 (sin 20-3 sin 2) + B (cos 2# - CD52)] = COS

Eqaution8.4.57

Or=- e= 3 A 2 3 A v = cos(3-cos v) - B d =sin(1-3 cos ) 2r v 3B v COS 2Cos(1+cos ) - sin (1 + cos ) 2r 3 A v


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