Page 306 - Introduction to Continuum Mechanics

290 Stress Concentration due to a Small Circular Hole in a Plate under Tension

Using Eqs. (5.20.9), the boundary conditions (5.20.3) become

As &-»•<» , Eq. (5.20.10a) becomes 2A = -- , so that A = -- , Eq. (5.20.10b) becomes

2
6B b = 0 so thatB = 0 and Eqs. (5.20.10 c) and (d) become

Thus,

Substituting these values into Eqs. (5.20.9) and superpose them onto the stress field given
in Eq. (5.20.4), we obtain