2011
DOI: 10.1007/s10778-011-0470-1
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Stress concentration in a transversely isotropic spherical shell with two circular rigid inclusions

Abstract: The refined Timoshenko-type theory that takes into account the transverse shear strains is used to find an analytic solution for the stress state of transversely isotropic shallow spherical shell with two circular rigid inclusions. The case of a shell with closely spaced rigid inclusions of unequal radii under internal pressure is analyzed numerically. The stresses in the shell increase considerably with decrease in the distance between the inclusions and increase in the transverse shear parameter

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Cited by 6 publications
(3 citation statements)
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“…Dumir et al [8] have investigated buckling of laminated thick annular spherical cap by using an orthogonal point collocation method. Chekhov and Zakora [9] have investigated transversely isotropic spherical shell with two circular rigid inclusions. Allam et al [10] investigated the effect of rotation with a uniform angular velocity, initial stress and gravity on Rayleigh waves in electro-magneto-elastic homogeneous orthotropic material half-space under Classical and Dynamical coupled model, Lord-Shulman model, Green-Lindsay model and Green-Naghdi model of generalized thermo elasticity.…”
Section: Materials Usedmentioning
confidence: 99%
See 1 more Smart Citation
“…Dumir et al [8] have investigated buckling of laminated thick annular spherical cap by using an orthogonal point collocation method. Chekhov and Zakora [9] have investigated transversely isotropic spherical shell with two circular rigid inclusions. Allam et al [10] investigated the effect of rotation with a uniform angular velocity, initial stress and gravity on Rayleigh waves in electro-magneto-elastic homogeneous orthotropic material half-space under Classical and Dynamical coupled model, Lord-Shulman model, Green-Lindsay model and Green-Naghdi model of generalized thermo elasticity.…”
Section: Materials Usedmentioning
confidence: 99%
“…[8] have investigated buckling of laminated thick annular spherical cap by using an orthogonal point collocation method. Chekhov and Zakora [9] have investigated transversely isotropic spherical shell with two circular rigid inclusions. Allam et al.…”
Section: Introductionmentioning
confidence: 99%
“…Maksimyuk et al [21] studied redistribution of stress around the inclusion in plate members which were subjected to internal pressure. Stress concentrations around the inclusion in shells were investigated in many studies [22][23][24][25], there are some experimental [26][27][28] and theoretical [29][30][31] studies concerning adhesively bonded joints with defects. However, little attention has been paid to numerical study of defect effects on an adhesively bonded joint strength.…”
Section: Introductionmentioning
confidence: 99%