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
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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
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: