TJ299 : Stress analysis of isotropic plates with two different shaped cutouts under uniform stress in infinite
Thesis > Central Library of Shahrood University > Mechanical Engineering > MSc > 2015
Authors:
Abstarct: Investigation of the stress distribution in plates with discontinuous for prevention of
failure structures is one of the most important issues in design of engineering. Hence, in
this thesis, stress analysis of isotropic plates with two regular holes is studied. The
analytical method wich is employed is baxsed on complex variable method, Schuartz’s
method and a conformal mapping function. The Cauchy integral techniques are used to
compute the integrals obtained in solving. The usability of this method is determined by
mapping the out of region of two holes to out of a unit circle. According to alternating
method, a convergent criterion is presented to determining the number of iterations. The
ultimate stress functions for computing the stress distribution around two cut outs are
obtained by using superposition principle and adopting summation of stress functions in
all of iterations. The problem solving is done by supposing the plane stress conditions.
The dimension of two holes in comparison to the dimension of plate considered small
enough so that the plate can be assumed as infinite. Loading on the edge of the plate is
assumed uniaxial. For validating and illustration the accuracy of the presented analytical
solution, the results obtained from this method are compared with those given in
available literatures and those obtained from the finite element method that are carried
out by using ABAQUS software. The effect of different parameters such as location of
two holes and their distance, bluntness of holes, aspect ratio and orientation of holes, on
the stress distribution are investigatedand and the appropriate range of these parameters
and suitable sort for location of two holes in plate which leads to reducing the stress
values are determined by using obtained result.
Keywords:
#Two holes #infinite plate #complex variable method #isotropic plate #in plane loading #Schwarz’s alternating method Link
Keeping place: Central Library of Shahrood University
Visitor:
Keeping place: Central Library of Shahrood University
Visitor: