境界の一部を固定された半無限板の単純引張り

概要

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A two-dimensional solution expressed in finite terms is given to the problem of the extension of a semi-infinite plate, to which a perfectly rigid stiffner of finite length is attached along the straight edge. The solution of the mixed boundary-value problem, stated above, is reduced to the search for a function φ(z), continued analytically into that part of the z-plane not occupied by the material through the unloaded parts of the boundary. The integral of the Cauchy type is used to find φ(z). The introduction of φ(z), instead of Φ(z)=φ'(z) that is commonly used by N.I. Muskhelishvili and his Russian collaborators, has the advantage that in constructing the boundary equations, involving the boundary values of the displacements, one is not obliged beforehand to differentiate these values. Expressions for the displacements and stress in the semi-infinite plate are found and plotted in a non-dimensional form.
一般社団法人日本機械学会の論文
1963-10-25