【摘要】 本文研究了带凸凹的弹性平面的应力状态,利用穆斯海里什维里的方法,获得了第一边值问题的通解,并特别讨论了σ_x∞σ_y∞τ_xy∞≠0的情形。更多还原

【Abstract】 In this paper the stress distribution in elastic halfplane with concave and convex is stidudied. Using the function ω（ζ）=Rζ+ω₀（ζ） the halfplane with concave and convex is mapped on to the halfplane I_mζ<0 of the ζ plane and the function ω₀（ζ） is holomorphic in the halfplanc I_mζ<0. The formula will now be recalled with express the components of stress in the corresponding curvilinear coordinates in terms of the function φ（ζ）, φ（ζ） and ψ （ζ） of the complex variable ζ=ζ+iη It will be assumed that ω₀（ζ） is a rational function. Based on the theory of cauchy type integral the general from solution of the first （stress） boundary value problem of the halfplane with concave and convex is obtained. Particularly, the condition σ_x∞, σ（_y∞）, τ_xy∞≠0 is discussed.更多还原