Elasticity/Flamant solution
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The Flamant Solution
edit- This problem is also self-similar (no inherent length scale).
- All quantities can be expressed in the separated-variable form .
- The stresses vary as (the area of action of the force decreases with increasing ). How about a conical wedge ?
From Michell's solution, pick terms containing in the stresses. Then,
Therefore, from Tables,
From traction BCs, . From equilibrium,
After algebra,
Special Case : α = -π, β = 0
editThe displacements are
where
and