OPTIMUM SHAPES OF ELASTIC SOLIDS WITH INFINITE BRANCHES

The classical inverse problem of the plane theory of elasticity, in wh ich the stress along the boundary contour is rendered uniform, is cons idered. The exact solution to the problem delivering symmetrical optim um shapes with four infinite branches along the axes of symmetry is co nstructed. The method enables one to find many other optimum shapes wi th two, three, four, five etc., infinite branches.