自由縁応力特異性を消失させるための異種材料接合部端の幾何学的条件

概要

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The plane strain and generalized plane stress problems of two materially dissimilar isotropic homogeneous wedges bonded together on a common edge are treated within the context of classical elastostatics. Stress and strain singularities at the intersection of the surfaces and the interface of the two materials are investigated using a characteristic equation deduced in terms of the familiar Airy stress function. It is found that free-edge stress singularities disappear for certain combinations of wedge angles of a pair of materials, even for a so-called bad pair, which has stress singularities when bonded at right angles to the surfaces. Expressions of geometrical conditions of the wedge having no free-edge stress singularities are given in terms of the Dunders composite parameters α and β. To demonstrate the validity of the expressions, numerical calculations are made. The conditions of no free-edge stress singularities are shown graphically. The proposed expressions can be used for designing the optimum shape of composite materials.
一般社団法人日本機械学会の論文
1991-03-25