# 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. 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

, Volume 43 (1) – May 28, 2018
17 pages

/lp/springer_journal/thermal-stress-analysis-in-a-finite-perforated-plane-SxK5SVNApc

# References (34)

Publisher
Springer Journals
Subject
Engineering; Mechanical Engineering
ISSN
2228-6187
eISSN
2364-1835
DOI
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.

### Journal

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

Published: May 28, 2018