The inelastic buckling of varying thickness circular cylinders under external hydrostatic pressure

2000 ◽  
Vol 9 (1) ◽  
pp. 51-68 ◽  
Author(s):  
C.T.F. Ross ◽  
A. Gill-Carson ◽  
A.P.F. Little
Keyword(s):  
Hydrostatic Pressure ◽  
Circular Cylinders ◽  
External Hydrostatic Pressure ◽  
Inelastic Buckling ◽  
Varying Thickness

Inelastic Shell Instability of Geometrically Imperfect Aluminum Alloy Circular Cylinders under Uniform External Pressure

2008 ◽  
Vol 45 (03) ◽  
pp. 175-181
Author(s):  
Carl T. F. Ross ◽  
Andrew P. F. Little ◽  
Graham Brown ◽  
Aravinthan Nagappan
Keyword(s):  
Aluminum Alloy ◽  
Hydrostatic Pressure ◽  
Analytical Solution ◽  
Structural Design ◽  
External Pressure ◽  
Circular Cylinders ◽  
External Hydrostatic Pressure ◽  
Element Analysis ◽  
Uniform External Pressure ◽  
Design Chart

The paper presents new experimental results on the collapse of unstiffened aluminum alloy circular cylinders suffering elastic and plastic nonsymmetric bifurcation buckling under external hydrostatic pressure. These results complement the results given in two previous Marine Technology papers written by the senior author, which were intended for the structural design of near-perfect unstiffened and ring-stiffened circular conical shells under external hydrostatic pressure. The present paper presents a structural design chart for geometrically imperfect circular cylinders under uniform external pressure, which is more likely to be used than the design charts for the previous near-perfect vessels because it represents the more "usual" case. In addition to an experimental analysis, theoretical analyses were also carried out. An analytical solution by von Mises was used, together with a finite element analysis solution, using the Shell 93 element of the ANSYS computer package. Comparison between ANSYS and the analytical solution was reasonable. A design chart is provided, which looks like it could be quite useful for practical purposes.

Inelastic Buckling of Rib-Cored Sandwich Cylinders Under External Hydrostatic Pressure

1966 ◽  
Vol 33 (3) ◽  
pp. 593-600 ◽  
Author(s):  
P. S. Theocaris ◽  
P. W. Hill
Keyword(s):  
Hydrostatic Pressure ◽  
Deformation Theory ◽  
Poisson's Ratio ◽  
Smooth Transition ◽  
External Hydrostatic Pressure ◽  
Inelastic Buckling ◽  
Lateral Forces ◽  
Theory Of Plasticity ◽  
Sandwich Shells ◽  
Critical Buckling Pressure

The extension of the equations of Stein and Mayers to include application to inelastic buckling of orthotopic sandwich shells for those classes of loading for which torsion does not act in combination with axial or lateral forces is presented. A deformation theory of plasticity is used to evaluate the 12 remaining orthotropic rigidities for rib-cored sandwiches. The solution for the critical buckling pressure is given for loading by external hydrostatic pressure. The effect of Poisson’s ratio is discussed, and corrections for the elastic compressibility are presented. These corrections permit a smooth transition from elastic to inelastic solutions.

Study of Ductile-to-Brittle Transition in Single Grit Diamond Scribing of Silicon: Application to Wire Sawing of Silicon Wafers

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
Hao Wu ◽  
Shreyes N. Melkote
Keyword(s):  
Hydrostatic Pressure ◽  
Silicon Wafers ◽  
Depth Of Cut ◽  
Critical Depth ◽  
External Hydrostatic Pressure ◽  
Tensile Stresses ◽  
Brittle Transition ◽  
Ductile Mode Cutting ◽  
Critical Depth Of Cut ◽  
Ductile To Brittle Transition

The ductile-to-brittle cutting mode transition in single grit diamond scribing of monocrystalline silicon is investigated in this paper. Specifically, the effects of scriber tip geometry, coefficient of friction, and external hydrostatic pressure on the critical depth of cut associated with ductile-to-brittle transition and crack generation are studied via an eXtended Finite Element Method (XFEM) based model, which is experimentally validated. Scribers with a large tip radius are shown to produce lower tensile stresses and a larger critical depth of cut compared with scribers with a sharp tip. Spherical tipped scribers are shown to generate only surface cracks, while sharp tipped scribers (conical, Berkovich and Vickers) are found to create large subsurface tensile stresses, which can lead to nucleation of subsurface median/lateral cracks. Lowering the friction coefficient tends to increase the critical depth of cut and hence the extent of ductile mode cutting. The results also show that larger critical depth of cut can be obtained under external hydrostatic pressure. This knowledge is expected to be useful in optimizing the design and application of the diamond coated wire employed in fixed abrasive diamond wire sawing of photovoltaic silicon wafers.

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