In this paper, hoop stress around a triangular or square hole in the ﬁnite isotropic plane under thermal loading is studied. The employed method is based on the analytical solution of ﬁnite plane with a circular hole. The thermal and stress distribution in this perforated plate is calculated by means of series and airy stress functions, respectively. The unknown coefﬁcients in these functions are obtained by using the least square boundary collocation method and applying the boundary conditions. By applying the Muskhelishvili’s method and conformal mapping, the analytical thermal stress around the square and the triangular hole in ﬁnite plate is obtained. The results show the effect of plane’s size, hole’s size of square hole on thermal stress around the hole edges. Keywords Thermal stress Finite plate Square hole Triangular hole 1 Introduction formulation and conformal mapping. In this solution, the electric ﬁeld is assumed as a function of the complex Thermal gradient in a plate causes thermal stresses. These potential and the exact electrical boundary conditions apply stresses around holes in the plate are critical. Researchers on the boundary of the hole. Yoshikawa and Hasebe are interested in knowing the amount of tension around (1999)studied
Iranian Journal of Science and Technology, Transactions of Mechanical Engineering – Springer Journals
Published: May 28, 2018
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