2018 年 67 巻 6 号 p. 639-645
This paper is concerned with the mixed boundary-value problem of an infinite plate with an elliptic hole, into which a smooth elastic elliptic plate is inserted. Since the infinite plate is subjected to a uniaxial tension at infinity, separations are produced along the boundary between the inserted plate and the hole. The contact pressure between the inserted plate and the hole is expressed in a convergent series whose differential form is also convergent, so that the stress and displacement generated along the boundary can be numerically analyzed by the point-matching method. Using the numerical results for various elliptic shapes, the influence of fit tolerance condition and elastic moduli of plate and inserted elliptic plate is shown with the stress distribution around an elliptic hole. The effects of the magnitude of fit tolerance, load and the shape of an embedded elliptic plate on the condition of stress concentration are analytically clarified in this study. The main results are as follows: [Ⅰ] The contact region, stress, and the displacement depend only on the one parameter containing the magnitude of fit tolerance and load. [Ⅱ] When the fit tolerance is zero the contact region and stress distribution of elastic plate do not vary with the magnitude of load. [Ⅲ] When the fit tolerance is not zero, the contact region and stress distribution of the elastic plate vary with the magnitude of tensile load.
