scholarly journals MATHEMATICAL MODELING OF FRACTURE CONDITIONS OF THIN-WALLED CYLINDRICAL SHELLS UNDER EXTERNAL PRESSURE AND AXIAL TENSION

2019 ◽  
Vol 11 (4) ◽  
pp. 47-55
Author(s):  
T.V. Karpeta ◽  
Keyword(s):  
Mathematical Modeling ◽  
Cylindrical Shells ◽  
External Pressure ◽  
Axial Tension ◽  
Thin Walled

Influence of Crack on the Instability of GFRP Composite Cylindrical Shells under Combined Loading

2018 ◽  
Vol 877 ◽  
pp. 453-459
Author(s):  
B. Angelina Catherine ◽  
R.S. Priyadarsini
Keyword(s):  
Structural Integrity ◽  
Cylindrical Shells ◽  
Laminated Composite ◽  
External Pressure ◽  
Industrial Applications ◽  
Combined Loading ◽  
Finite Element Software ◽  
Buckling Behavior ◽  
Thin Walled ◽  
Composite Cylindrical Shells

Buckling is a prominent condition of instability caused to a shell structure as a result of axial loadings. The process of buckling becomes more complex while analyzing thin walled structures like shells. Today such thin walled laminated composite shells are gaining more importance in many defense and industrial applications since they have greater structural efficiency and performance in relation to isotropic structures. Comprehensive understanding of the buckling response of shell structures is necessary to assure the integrity of these shells during their service life. The presence of defects, such as cracks, may severely compromise their buckling behavior and jeopardize the structural integrity. This work aims in conducting numerical analysis of cracked GFRP (Glass fibre-reinforced polymer) composite cylindrical shells under combined loading to study the effect of crack size on the buckling behavior of laminated composite cylindrical shells with different lay-up sequences. The numerical analyses were carried out using the finite element software, ABAQUS in order to predict the buckling behaviour of cracked laminated composite cylinders subject to different combinations of axial compression, torsion, internal pressure and external pressure from the interaction buckling curves.

Inelastic buckling of cylindrical shells subjected to axial tension and external pressure

AIAA Journal ◽  
1983 ◽  
Vol 21 (10) ◽  
pp. 1477-1478 ◽  
Author(s):  
N. C. Huang ◽  
P. D. Pattillo
Keyword(s):  
Cylindrical Shells ◽  
External Pressure ◽  
Inelastic Buckling ◽  
Axial Tension

scholarly journals Mathematical Modeling of Technological Modes of Operation of Liquid Stamping of Aluminum Alloy AK7

2021 ◽  
Vol 248 ◽  
pp. 02003
Author(s):  
Vagid Kadymov ◽  
Evgeny Sosenushkin
Keyword(s):  
Mathematical Modeling ◽  
Thermal Conductivity ◽  
External Pressure ◽  
Temperature Fields ◽  
Simultaneous Solution ◽  
Phase Zone ◽  
Two Phase ◽  
Modes Of Operation ◽  
Solidification Kinetics ◽  
Thin Walled

In this paper we examine a mathematical model of solidification of the melt in a two-phase zone during the formation of forgings through liquid stamping. From the simultaneous solution of the Fourier equations of thermal conductivity for the melt, the two-phase zone, and the solid crust, the solidification kinetics has been established and the effect of external pressure on the temperature fields and components of the solidification time of hollow thin-walled forgings has been thoroughly assessed.

Experimental Behaviour of Thin-Walled Cylindrical Shells Subjected to External Pressure

1969 ◽  
Vol 11 (1) ◽  
pp. 40-56 ◽  
Author(s):  
P. Montague
Keyword(s):  
Cylindrical Shells ◽  
Small Deformation ◽  
External Pressure ◽  
Elastic Instability ◽  
Rigid Plastic ◽  
Modes Of Failure ◽  
Instability Theory ◽  
Pressure Tests ◽  
Thin Walled ◽  
Deformation Patterns

The paper describes external radial and hydrostatic pressure tests on 12 mild steel, thin-walled cylindrical shells. Radial deflections and surface strains on the inside and outside of the cylinders' walls are related to the conventional small deformation theory. The elastic deformation patterns are found to be similar in shape to the lobar modes which can be predicted by elastic instability theory. The collapse pressures of the shells and their modes of failure are considered in relation to the rigid-plastic theory, the importance of initial imperfections is discussed and an attempt is made to relate the geometric and material properties of the cylinders to modes of failure and to appropriate collapse analyses.

Buckling of Circular Cylindrical Shells Using a Displacement Function

1974 ◽  
Vol 96 (4) ◽  
pp. 1322-1327
Author(s):  
Shun Cheng ◽  
C. K. Chang
Keyword(s):  
Boundary Conditions ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
External Pressure ◽  
Displacement Function ◽  
Combined Loading ◽  
Trial Solution ◽  
Governing Differential Equation ◽  
Circular Cylindrical Shells ◽  
The Stability

The buckling problem of circular cylindrical shells under axial compression, external pressure, and torsion is investigated using a displacement function φ. A governing differential equation for the stability of thin cylindrical shells under combined loading of axial compression, external pressure, and torsion is derived. A method for the solutions of this equation is also presented. The advantage in using the present equation over the customary three differential equations for displacements is that only one trial solution is needed in solving the buckling problems as shown in the paper. Four possible combinations of boundary conditions for a simply supported edge are treated. The case of a cylinder under axial compression is carried out in detail. For two types of simple supported boundary conditions, SS1 and SS2, the minimum critical axial buckling stress is found to be 43.5 percent of the well-known classical value Eh/R3(1−ν2) against the 50 percent of the classical value presently known.

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