Thermal Stress Analysis in a Finite Perforated Plane

Thermal Stress Analysis in a Finite Perforated Plane 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 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Iranian Journal of Science and Technology, Transactions of Mechanical Engineering Springer Journals

Thermal Stress Analysis in a Finite Perforated Plane

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Shiraz University
Subject
Engineering; Mechanical Engineering
ISSN
2228-6187
eISSN
2364-1835
D.O.I.
10.1007/s40997-018-0189-2
Publisher site
See Article on Publisher Site

Abstract

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

Journal

Iranian Journal of Science and Technology, Transactions of Mechanical EngineeringSpringer Journals

Published: May 28, 2018

References

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