Finite axisymmetric deformation of shells of revolution with application to flexural buckling of circular plates

1989 ◽  
Vol 59 (6) ◽  
pp. 456-472 ◽  
Author(s):  
J. Makowski ◽  
H. Stumpf
Keyword(s):  
Axisymmetric Deformation ◽  
Circular Plates ◽  
Shells Of Revolution ◽  
Flexural Buckling

The Axisymmetric Deformation of Linearly and Nonlinearly Elastic Spinning Tubes Under End Thrusts and Torques

1998 ◽  
Vol 65 (1) ◽  
pp. 99-106
Author(s):  
T. J. McDevitt ◽  
J. G. Simmonds
Keyword(s):  
Anisotropic Material ◽  
Large Strain ◽  
Axisymmetric Deformation ◽  
Large Strains ◽  
Shells Of Revolution ◽  
Large Rotation ◽  
Elastic Tubes ◽  
Axisymmetric Bending ◽  
Combined Parameters ◽  
Nonlinearly Elastic

We consider the steady-state deformations of elastic tubes spinning steadily and attached in various ways to rigid end plates to which end thrusts and torques are applied. We assume that the tubes are made of homogeneous linearly or nonlinearly anisotropic material and use Simmonds” (1996) simplified dynamic displacement-rotation equations for shells of revolution undergoing large-strain large-rotation axisymmetric bending and torsion. To exploit analytical methods, we confine attention to the nonlinear theory of membranes undergoing small or large strains and the theory of strongly anisotropic tubes suffering small strains. Of particular interest are the boundary layers that appear at each end of the tube, their membrane and bending components, and the penetration of these layers into the tube which, for certain anisotropic materials, may be considerably different from isotropic materials. Remarkably, we find that the behavior of a tube made of a linearly elastic, anisotropic material (having nine elastic parameters) can be described, to a first approximation, by just two combined parameters. The results of the present paper lay the necessary groundwork for a subsequent analysis of the whirling of spinning elastic tubes under end thrusts and torques.

Axisymmetric deformation of flexible nonhomogeneous shells of revolution

1982 ◽  
Vol 18 (4) ◽  
pp. 314-318
Author(s):  
V. I. Klimanov ◽  
V. V. Chupin
Keyword(s):  
Axisymmetric Deformation ◽  
Shells Of Revolution

The axisymmetric deformation of shells of revolution of average thickness

1969 ◽  
Vol 5 (7) ◽  
pp. 678-683 ◽  
Author(s):  
Ya. M. Grigorenko ◽  
N. N. Kryukov
Keyword(s):  
Axisymmetric Deformation ◽  
Average Thickness ◽  
Shells Of Revolution

Large Elastic Deformation of Shear Deformable Shells of Revolution: Theory and Analysis

1987 ◽  
Vol 54 (3) ◽  
pp. 578-584 ◽  
Author(s):  
L. A. Taber
Keyword(s):  
Shear Deformation ◽  
Axisymmetric Deformation ◽  
Large Strains ◽  
Normal Strain ◽  
Shells Of Revolution ◽  
Incompressible Hyperelastic Material ◽  
Large Elastic Deformation ◽  
Spherical Caps ◽  
Transition Points ◽  
Thick Shells

Large axisymmetric deformation of pressurized shells of revolution is studied. The governing equations include the effects of transverse normal strain and transverse shear deformation for shells composed of an incompressible, hyperelastic material. Asymptotic solutions to the equations are developed which are valid for moderately large strains. Application to Mooney-Rivlin clamped spherical caps reveals that, for large enough bending and stretching, the consequences of shear deformation include: (1) bending moments can decrease at the edge after the load passes a critical point; (2) even thick shells can behave as membranes; (3) transition points can occur in the shell which divide regions of shell-like behavior from regions of membrane-like behavior.

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