Static-geometric duality and stress concentration in twisted and sheared shallow spherical shells

1999 ◽  
Vol 22 (6) ◽  
pp. 437-442 ◽  
Author(s):  
Eric Reissner ◽  
Frederic Y. M. Wan
Keyword(s):  
Stress Concentration ◽  
Spherical Shells ◽  
Geometric Duality

On the Effect of Transverse Shear Deformability on Stress Concentration Factors for Twisted and Sheared Shallow Spherical Shells

1986 ◽  
Vol 53 (3) ◽  
pp. 597-601 ◽  
Author(s):  
E. Reissner ◽  
F. Y. M. Wan
Keyword(s):  
Stress Concentration ◽  
Transverse Shear ◽  
Shell Theory ◽  
Bessel Functions ◽  
Plate Theory ◽  
Modified Bessel Functions ◽  
Spherical Shells ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Shear Deformable

Explicit solutions are obtained, in terms of modified Bessel functions, for the problems of transverse twisting and of tangential shearing of transversely shear-deformable shallow spherical shells with a small circular hole. The relevant stress concentration factors are calculated for the entire range of a rise-to-thickness ratio parameter and a transverse shear deformability parameter. The modification of known results obtained previously by shear deformable plate theory, and by shallow shell theory without consideration of transverse shear deformation effects, is delineated.

scholarly journals Stress-strain state of spherical shells with two unequal holes

2021 ◽  
Vol 258 ◽  
pp. 09085
Author(s):  
Nurilla Noraliev ◽  
Bakhrom Ishniyazov ◽  
Bunyod Safarov ◽  
Oybek Saparov
Keyword(s):  
Finite Element Method ◽  
Composite Materials ◽  
Stress Concentration ◽  
Software Package ◽  
Shell Thickness ◽  
Strain State ◽  
Numerical Study ◽  
Shear Stiffness ◽  
The Finite Element Method ◽  
Spherical Shells

This article presents the results of a numerical study of the stress concentration around two equal and unequal holes in an orthotropic spherical shell made of composite materials under the action of internal pressure. The influence of geometric (hole radii, shell thickness, distance between holes) characteristics, as well as material orthotropy and shear stiffness, on the stress state of spherical shells made of composite materials is studied. A numerical algorithm based on the finite element method has been developed and a software package has been implemented on a computer that allows solving the problem of stress concentration near two unequal holes in spherical shells made of composite materials.

A New Type of Precision Tire

1988 ◽  
Vol 16 (4) ◽  
pp. 200-207
Author(s):  
O. B. Tretyakov
Keyword(s):  
Stress Concentration ◽  
Failure Rates ◽  
Stress Strain ◽  
Radial Tire ◽  
Resonance Effects ◽  
Precision Stage ◽  
New Type ◽  
Degree Of Order

Abstract A process is suggested for improving the rubber-cord composite in a radial tire through precision stage-by-stage molding of its parts. This starts by casting an inner elastomeric envelope of the carcass from a liquid oligomer mix. The full molding technology uses acoustic and resonance effects to optimize the degree of order of the structure and of rubber uniformity. The resultant precision tires should have a higher degree of order of both macro- and microstructure than do present commercial tires. Reduced stress concentration in locations that have high failure rates in commercial tires are considered. A new theory, CSSOT, is used for optimizing tires from results of stress-strain cycles.

Marangoni Convection in Spherical Shells

2005 ◽  
Author(s):  
Pravin Subramanian ◽  
Abdelfattah Zebib
Keyword(s):  
Marangoni Convection ◽  
Spherical Shells
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