On the determination of stress concentration in a stretched plate with two holes

Abstract

We present a short survey of studies of the elastic interaction of two holes in a stretched plate. Special attention is paid to the study of the concentration of stresses on the contours of closely positioned holes. For two identical elliptic holes, numerical results are obtained by the method of singular integral equations. With the help of the limit transition, we determined the stress intensity factors at the vertices of semi-infinite parabolic notches. A comparison of the numerical data with known analytic solutions for two circular holes and collinear cracks is performed.

Stress concentration in a spherical shell with two neighboring circular holes

“…Here, the minimal bulkhead width constituted 0.7 of the hole radius. As shown in [7] for a stretched plate with two holes, a significant increase in stress concentration takes place if the holes are located closely. Therefore, in the present work, we study the cases of close location of two circular holes (including unequal) in a spherical shell.…”

“…Stress concentration in plates and shells with several holes has been investigated since long ago [2], but, nevertheless, these data remain important for engineering practice [3][4][5][6][7][8], especially in the case of close location of the holes between themselves [7]. Numerical results for an isotropic shallow spherical shell with two equal circular holes under the action of internal pressure are described in [1,2].…”

Stress fields around two pores in an elastic body: exact quadrature domain solutions

“…Analytical solutions are known for the case of two pores: Ling [ 14 ] found the stress distribution around two equal circular pores; Haddon [ 15 ] generalized to the case of unequal circular pores (see [ 16 ]). A useful review of the literature associated with the two-pore problem has been given by Panasyuk & Savruk [ 17 ].…”

Stress concentration in a transversely isotropic spherical shell with two circular rigid inclusions

“…Despite their long history [1][2][3], studies of stress concentration in plates and shells with holes and inclusions (rings, washers, covers) are still relevant [5][6][7][8]. A similar situation exists with other problems in the mechanics for multiply connected and structurally inhomogeneous bodies [4,9].…”

“…The minimum width of the bridge between the reinforced holes in this case is 0.7 of the hole radius. However, if the holes are closely spaced, the stress concentration is much higher, as is the case in a plate with two holes under tension [8]. Therefore, we will consider a transversely isotropic shallow spherical shell with two closely spaced circular perfectly rigid inclusions of different radii.…”