Optimum Shapes of Elastic Solids With Infinite Branches

Genady P. Cherepanov · Journal of Applied Mechanics · 1995

The classical inverse problem of the plane theory of elasticity, in which the stress along the boundary contour is rendered uniform, is considered. The exact solution to the problem delivering symmetrical optimum shapes with four infinite branches along the axes of symmetry is constructed. The method enables one to find many other optimum shapes with two, three, four, five, etc., infinite branches.

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