Explicitly show that the inhomogeneity functions p(x) = e x and q(y) = e y , that

Explicitly show that the inhomogeneity functions p(x) = e^–αΙxΙ and q(y) = e^–βΙyΙ, that were used for the antiplane crack problem, do in fact satisfy relations (14.5.9) with a_o = α²/4 and b_o = β²/4.

Equation 14.5.9

Transcribed Image Text:

1 d'p 2p dx 1(1 dp 4 (14) dx 1 dq 1 1 dq 29 dy 4 dy 2 = ao 2 = bo