TJ297 : Thermal stress analysis of an infinite plate with noncircular cutouts subjected to a uniform heat flow
Thesis > Central Library of Shahrood University > Mechanical Engineering > MSc > 2014
Authors:
Amir Taherinasab [Author], Mohammad Jafari[Supervisor], Mohammad Bagher Nazari[Supervisor]
Abstarct: One of the most important issues in design of advanced engineering structures is prevention of failure of structures due to stress in discontinuous regions. Stress causes a decrease in strength and premature failures in structures by reason of thermal cracking and plastic deformations at the location of stress. In order to better design of these structures and because of the relationship between their failure strength and stress caused by a hole, the accurate calculation of stress is required. The hole geometry is one of the effective parameters on stress distribution around hole, so that by the variation of the hole geometry, also the location and amount of stress change. In addition to hole geometry, rotation angle of hole, bluntness and load angle are other effective parameters on stress analysis of perforated plates. The appropriate selection of each of these parameters reduces the amount of stress. On the basis of the steady-state two-dimensional theory of thermoelasticity, stress field around a hole in infinite isotropic plate is discussed. The mextallic 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, stress distribution around the hole is represented. 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 hole can be represented by the area outside the unit circle. The rotation angle of hole, bluntness, aspect ratio of hole size and angle of heat flux are important parameters that are considered in this paper. The results obtained demonstrate the effect of these parameters on stress distribution around hole.
Keywords:
#Conformal Mapping #Analytical Solution #Complex Variable #quasi-rectangular hole Link
Keeping place: Central Library of Shahrood University
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