弾性問題における境界の変形と外力との関連性について

概要

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In this paper, we considered about the relation between the elastic displacement u(x_0) and the external force T[u(x_0)] on the boundary surface ∂Ω of elastic body, and obtained such relation in the form of the integral equation of Fredholm type, [numerical formula] where Γ(x,y) is the fundamental solution of elasticity (Somigliana's tensor), Τ is the differential operator defined by eq. (5), and, in the three (two) dimensional case [numerical formula], [numerical formula] for the internal problem, [numerical formula] for the external problem. As an example, we applied this result to the problem of elastic half space, and showed that the classical Boussinesq's solution can be deduced.
明治大学の論文