Boundary layer theory for the buckling and postbuckling of an anisotropic laminated cylindrical shell, Part II: Prediction under external pressure

2008 ◽  
Vol 82 (3) ◽  
pp. 362-370 ◽  
Author(s):  
Hui-Shen Shen
Keyword(s):  
Boundary Layer ◽  
Cylindrical Shell ◽  
External Pressure ◽  
Boundary Layer Theory ◽  
Laminated Cylindrical Shell ◽  
Shell Part

Postbuckling of Shear Deformable Geodesically Stiffened Anisotropic Laminated Cylindrical Shell Under External Pressure

2011 ◽  
Vol 133 (2) ◽  
Author(s):  
Zhi-Min Li ◽  
Zhong-Qin Lin ◽  
Guan-Long Chen
Keyword(s):  
Cylindrical Shell ◽  
Perturbation Technique ◽  
Circumferential Stress ◽  
External Pressure ◽  
Equilibrium Path ◽  
Postbuckling Behavior ◽  
Singular Perturbation Technique ◽  
Stiffened Shells ◽  
Shear Deformable ◽  
Laminated Cylindrical Shell

A boundary layer theory for buckling and postbuckling of anisotropic laminated thin shells is extended to shear deformable stiffened anisotropic laminated shells. A postbuckling behavior is investigated for a shear deformable anisotropic laminated cylindrical shell with geodesical stiffener of finite length subjected to lateral or hydrostatic pressure. The material of each layer of the shell is assumed to be linearly elastic, anisotropic, and fiber-reinforced. The governing equations are based on a higher-order shear deformation shell theory with von Kármán–Donnell-type of kinematic nonlinearity and including the extension/twist, extension/flexural, and flexural/twist couplings. The nonlinear prebuckling deformations and initial geometric imperfections of the shell are both taken into account. A singular perturbation technique is employed to determine the buckling pressure and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling response of perfect and imperfect, moderately thick, geodesically stiffened shells, axial and ring stiffened shells, and unstiffened shells with different values of shell parameters and stacking sequence. The results confirm that there exists a circumferential stress along with an associate shear stress when the shell is subjected to lateral pressure. The postbuckling equilibrium path is stable for the moderately long shell under external pressure and the shell structure is virtually imperfection-insensitive.

scholarly journals Induced dusty flow due to normal oscillation of wavy wall

2001 ◽  
Vol 26 (4) ◽  
pp. 199-223
Author(s):  
K. Kannan ◽  
V. Ramamurthy
Keyword(s):  
Boundary Layer ◽  
External Pressure ◽  
Boundary Layer Theory ◽  
Dust Particles ◽  
Large Reynolds Number ◽  
Wavy Wall ◽  
Regular Perturbation ◽  
Outer Flow ◽  
Normal Oscillation ◽  
Matching Process

A two-dimensional viscous dusty flow induced by normal oscillation of a wavy wall for moderately large Reynolds number is studied on the basis of boundary layer theory in the case where the thickness of the boundary layer is larger than the amplitude of the wavy wall. Solutions are obtained in terms of a series expansion with respect to small amplitude by a regular perturbation method. Graphs of velocity components, both for outer flow and inner flow for various values of mass concentration of dust particles are drawn. The inner and outer solutions are matched by the matching process. An interested application of present result to mechanical engineering may be the possibility of the fluid and dust transportation without an external pressure.

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