End Effects in Truncated Semi-Infinite Wedge

by Robert William Little, Prof.; Dept. of Metallurgy, Mech., and Materials Sci., Michigan State Univ., East Lansing, MI,
Tommie R. Thompson, Engr.; Bettis Atomic Power Lab., Westinghouse Elect., Pittsburgh, PA,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 5, Pg. 1239-1252

Document Type: Journal Paper


The Saint-Venant boundary region in an isotropic truncated semi-infinite elastic wedge is investigated by use of complex eigenfunctions. The eigenvalues give a measure of the decay lengths of the selfequilibrated boundary stresses. The eigenfunctions form a nonorthogonal set and their coefficients are evaluated by a least-squares approximation. The dependency of the decay lengths with wedge angle is shown numerically.

Subject Headings: Wedges | Domain boundary | Decomposition | Isotropy | Elastic analysis | Eigenvalues | Least squares method | Approximation methods

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