Pseudo-membrane shell theory of hybrid anisotropic materials

2017 ◽  
Vol 160 ◽  
pp. 586-593 ◽  
Author(s):  
S.W. Chung ◽  
S.G. Hong
Keyword(s):  
Shell Theory ◽  
Anisotropic Materials ◽  
Membrane Shell

scholarly journals Uniformly Valid First Approximation Shell Theory of Hybrid Anisotropic Materials

2021 ◽  
Author(s):  
Samuel W Chung ◽  
Hyun-ho Ju
Keyword(s):  
Shell Theory ◽  
Anisotropic Materials ◽  
Physical Characteristics ◽  
Original Formulation ◽  
Governing Equations ◽  
Length Scales ◽  
First Approximation ◽  
Elastic Coefficients

The theories in this article implies unique physical characteristics and formulated the governing equations. A uniformly valid shell theory which includes all the terms present in each of the asymptotic shell theories. The first approximation theories derived in this article represent the simplest possible shell theories for the corresponding length scales considered. Although twenty-one elastic coefficients are present in the original formulation of the problem, only six are appear in the first approximation theories.

scholarly journals Uniformly Valid First Approximation Shell Theory of Hybrid Anisotropic Materials

2021 ◽  
Author(s):  
Samuel W Chung ◽  
Hyun-ho Ju
Keyword(s):  
Shell Theory ◽  
Anisotropic Materials ◽  
Physical Characteristics ◽  
Original Formulation ◽  
Governing Equations ◽  
Length Scales ◽  
First Approximation ◽  
Elastic Coefficients

The theories in this article implies unique physical characteristics and formulated the governing equations. A uniformly valid shell theory which includes all the terms present in each of the asymptotic shell theories. The first approximation theories derived in this article represent the simplest possible shell theories for the corresponding length scales considered. Although twenty-one elastic coefficients are present in the original formulation of the problem, only six are appear in the first approximation theories.

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.

Extension of Vlasov’s Semi-membrane Theory to Reinforced Composite Shells

1992 ◽  
Vol 59 (2) ◽  
pp. 462-464 ◽  
Author(s):  
V. Birman
Keyword(s):  
Free Vibration ◽  
Shell Theory ◽  
Membrane Theory ◽  
Composite Shells ◽  
Governing Equations ◽  
Closed Form Solutions ◽  
Membrane Shell ◽  
Reinforced Composite ◽  
Statics And Dynamics ◽  
Vibration Problems

Governing equations for the statics and dynamics of reinforced composite shells are developed based on Vlasov’s semi-membrane shell theory. These equations have closed-form solutions illustrated for buckling and free vibration problems. The buckling solution converges to the known result for unstiffened isotropic shells.

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