A Study of the Effect of Curvature of the Corner of Hole on Stress Concentration Caused by Uniform Heat Flux

Document Type : Original Article

Authors

• Mohammad Jafari
• Mohammad Bagher Nazari

university of shahrood

10.22067/fum-mech.v28i1.43711

Abstract

On the basis of the steady-state two-dimensional theory of thermoelasticity, stress field around various holes in infinite isotropic plate is discussed. The plate is subjected to uniform heat flux and thermal insulated condition along the hole boundary is assumed. by using the complex potential functions and by applying the conformal mapping and solving the integral equations, the effect of bluntness on stress distribution around the hole is studied. The used method is the expansion of the Goodier and Florence’s method. They used complex variable method for stress analysis of infinite isotropic plates with elliptical and circular holes. For simplicity of using the Cauchy integral formula, the infinite area external to the non-circular hole can be represented by the area outside the unit circle. The results obtained demonstrate the effect of bluntness on stress distribution around the holes.

Keywords

• Bluntness
• Complex Variable Method
• Conformal Mapping
• Analytical Solution
• Uniform Heat Flux

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