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Plane elastostatic boundary value problems (III). Stresses in a parabolic mound
Published online by Cambridge University Press: 26 February 2010
Summary
The first and second boundary value problems of plane elastostatics are solved for the interior of a parabola. A conformal transformation is used to map the interior of the parabola onto an infinite strip. An analytic continuation technique reduces the boundary value problem to the solution of a form of differential-difference equation. This is solved by a Fourier integral method. The resulting integrals are evaluated by residues to give eigenfunction expansions for the complex potentials.
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- Copyright © University College London 1963