Membrane shell theory based on asymmetric elasticity theory

1997 ◽  
Vol 33 (11) ◽  
pp. 895-902
Author(s):  
S. A. Ambartsumyan
Keyword(s):  
Elasticity Theory ◽  
Shell Theory ◽  
Membrane Shell ◽  
Asymmetric Elasticity

Forced Plane Strain Motion of Cylindrical Shells—A Comparison of Shell Theory With Elasticity Theory

1973 ◽  
Vol 40 (3) ◽  
pp. 725-730 ◽  
Author(s):  
P. S. Pawlik ◽  
H. Reismann
Keyword(s):  
Cylindrical Shell ◽  
Analytical Solution ◽  
Elasticity Theory ◽  
Plane Strain ◽  
Outer Surface ◽  
Shell Theory ◽  
Circular Cylindrical Shell ◽  
Initial Response ◽  
Linear Elasticity Theory ◽  
Specific Loading

A radially directed load is suddenly applied to a portion of the outer surface of a circular cylindrical shell which responds in a state of plane strain. An analytical solution for the resulting dynamic response is obtained within the context of linear elasticity theory, Flu¨gge shell theory, and an “improved” shell theory. A comparison of results for specific loading conditions indicates that the improved theory is far superior to the Flu¨gge theory in terms of predicting both the magnitude and characteristics of the response. However, as expected, neither shell theory satisfactorily predicts the wave character of the initial response.

Comparison of elasticity theory and shell theory solutions

1973 ◽  
Vol 3 (6) ◽  
pp. 1345-1355 ◽  
Author(s):  
V. Ramamurti ◽  
R.S. Alwar
Keyword(s):  
Elasticity Theory ◽  
Shell Theory

An Eulerian approach of non-linear membrane shell theory

2003 ◽  
Vol 38 (9) ◽  
pp. 1403-1420 ◽  
Author(s):  
Olivier Millet ◽  
Aziz Hamdouni ◽  
Alain Cimetière
Keyword(s):  
Shell Theory ◽  
Eulerian Approach ◽  
Membrane Shell ◽  
Non Linear

A New Stress Mathematical Model of Deformation Zone while Straightening Thin-Walled Tube

2013 ◽  
Vol 652-654 ◽  
pp. 1488-1493
Author(s):  
Zi Qian Zhang ◽  
Yun Hui Yan ◽  
Hui Lin Yang
Keyword(s):  
Mathematical Model ◽  
Theoretical Model ◽  
Plastic Zone ◽  
Deformation Zone ◽  
Shell Theory ◽  
Theoretical Calculations ◽  
Technological Parameters ◽  
Membrane Shell ◽  
Thin Walled Tube ◽  
Thin Walled

As there was no precise theoretical model for predicting the stress of deformation zone while straightening thin-walled tube, some technological parameters depended mostly on the experience of workers and on the results of trials, therefore by means of the membrane shell theory the equilibrium differential equations of stress is obtained firstly, then we analyze the strain of deformation zone, finally lead to a new theoretical model for predicting the stress in the elastic and plastic zone. Subsequently the simulated experiments have been done, the results show that the theoretical calculations coincide well with the simulated results, the errors are within 1％of the calculations, it is testified that the model is correct and efficient for the thin-walled tube straightening.

Notes on Nonlinear Shell Theory

1968 ◽  
Vol 35 (2) ◽  
pp. 393-401 ◽  
Author(s):  
Bernard Budiansky
Keyword(s):  
Shell Theory ◽  
Small Perturbations ◽  
Membrane Shell ◽  
Nonlinear Shell Theory ◽  
Lines Of Curvature ◽  
Curvature Coordinates ◽  
Nonlinear Shell ◽  
Membrane Shells ◽  
Initial Strains ◽  
Approximate Equations

Exact tensor equations of equilibrium are derived for nonlinear membrane shell theory and small perturbations of pressurized membrane shells. Approximate equations (for sufficiently small initial strains and rotations) for small perturbations of pressurized membrane shells are also given. Exact equations for the general nonlinear shell theory (including bending) are discussed, and approximate equations (again for small initial strains and rotations) are derived for the small perturbations, buckling, and vibration of stressed shells. These last equations are given in an Appendix in lines-of-curvature coordinates in classical notation.

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