Show that the stress function: gives the solution to the problem of an elastic half-space loaded by

Question:

Show that the stress function:

Tor - [sin log r + sin cose - sin ]

gives the solution to the problem of an elastic half-space loaded by a uniformly distributed shear over the free surface (x≤ 0), as shown in the figure. Identify locations where the stresses are singular.

X 0


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