Stress concentration around a circular hole in a transversely isotropic spherical shell

Abstract

Analytical expressions for the stresses near a circular hole in a transversely isotropic shallow spherical shell under uniform pressure are derived. The form of the solution depends on the range of change in the compliance to transverse shear. The influence of the relative radius of the hole and the compliance to transverse shear on the stress concentration is analyzed.Issues of stress concentration near holes in transtropic shallow spherical shells made of composite materials and subjected to internal pressure are addressed in [1][2][3][4][5][6][9][10][11][12]. Studies aimed at evaluating the influence of transverse shear stiffness on the stress state of shells with holes are reviewed in [2,11]. In [10,12,13], the effect of shear stiffness in composite shells is analyzed numerically.A Problem Formulation for thin elastic shells compliant to transverse shear was first proposed in [4, 5] based on differential equations of a refined Timoshenko theory that allows for the low transverse shear stiffness of the material [5],

On the stress distribution in a spherical shell with an off-center curvilinear hole

“…As the rigidity of fixation is increased, the points smear Introduction. The asymmetric stress-strain state (SSS) near curvilinear holes (cutouts) in isotropic [4,6,9,10] and composite [4,5,8,11] plates and shells is of theoretical and practical interest: the results of a stress-strain analysis would allow us to evaluate the stress and strain of various thin-walled structural members under various kinds of loads.Numerical stress-strain analyses were performed mainly for thin-walled spherical caps with a central elliptical hole [4,5,8,10,11].As pointed out in [1,7], in the off-center case, numerical results are mainly available only for a circular hole, with the emphasis being on the stress distribution around the bridge between the outer and inner edges, which does not give an accurate account of the maximum stresses. Most publications employ special orthogonal coordinate frames and address simply connected stress-concentration problems for elastic isotropic shells.…”

“…As the rigidity of fixation is increased, the points smear Introduction. The asymmetric stress-strain state (SSS) near curvilinear holes (cutouts) in isotropic [4,6,9,10] and composite [4,5,8,11] plates and shells is of theoretical and practical interest: the results of a stress-strain analysis would allow us to evaluate the stress and strain of various thin-walled structural members under various kinds of loads.…”

“…Numerical stress-strain analyses were performed mainly for thin-walled spherical caps with a central elliptical hole [4,5,8,10,11].…”

Stress state of a transversely isotropic spherical shell with a rigid circular inclusion

“…The form of solution depends on the range of the transverse shear compliance parameter. The influence of the relative radius of a rigid inclusion and transverse shear compliance on stress concentration is analyzed Keywords: transverse shear, transversely isotropic shallow spherical shell, rigid circular inclusionThe stress distribution around holes or rigid inclusions in shallow and deep transtropic and orthotropic spherical shells was studied in [1][2][3][4][5][6][7][8][9][10][11]. The results of studies into the influence of the transverse shear stiffness of materials on the stress state of composite shells are reported in [3,7,8].…”

“…The stress distribution around holes or rigid inclusions in shallow and deep transtropic and orthotropic spherical shells was studied in [1][2][3][4][5][6][7][8][9][10][11]. The results of studies into the influence of the transverse shear stiffness of materials on the stress state of composite shells are reported in [3,7,8].…”