Asymptotic form of the axisymmetric elasticity problem for an anisotropic cylindrical shell

1982 ◽  
Vol 22 (5) ◽  
pp. 725-730 ◽  
Author(s):  
N. A. Fedorova ◽  
L. I. Shkutin
2020 ◽  
Vol 81 (01) ◽  
pp. 205-211
Author(s):  
Ravshan Indiaminov ◽  
◽  
Sobir Mamaraupovich Kholjigitov ◽  
Akram Sidikovich Narkulov ◽  
◽  
...  

1980 ◽  
Vol 47 (3) ◽  
pp. 583-585 ◽  
Author(s):  
J. W. Nicholson ◽  
M. R. Bradley ◽  
C. K. Carrington

Sanders’ path-independent energy-release-rate integral I for a cracked shallow shell is used to compute the asymptotic form of the combined stress-intensity factor for a pressurized elastically isotropic cylindrical shell containing a longitudinal crack. The combined stress-intensity factor is expressible in terms of the conventional stretching and bending stress-intensity factors and is a function of Poisson’s ratio v and a dimensionless crack length λ. When λ is small the shell is nearly flat and when λ is large the shell is very thin. Asymptotic formulas for I when λ is small or large are obtained. A numerical solution for λ = 0(1) is also obtained.


2003 ◽  
Vol 70 (3) ◽  
pp. 391-403 ◽  
Author(s):  
C.-H. Lin ◽  
M.-H. R. Jen

The governing equations of a laminated anisotropic cylindrical shell problem are a system of partial differential equations. The boundary conditions will complicate the problem. Thus, it is hard to handle the governing equations in the form of functions of independent variables. Herein, Chebyshev collocation method is proposed to achieve the exact solution theoretically of such a difficult problem. Finally, two examples with numerical results are presented. The preciseness and efficiency of the proposed Chebyshev collocation method for laminated anisotropic shell problem are highlighted.


1977 ◽  
Vol 99 (3) ◽  
pp. 454-458 ◽  
Author(s):  
H. V. Lakshminarayana ◽  
S. Viswanath

Numerical solutions are obtained for stresses around a circular hole in laminated composite cylindrical shells subjected to uniform internal pressure loading. Matrix method of structural analysis using a high-precision triangular laminated anisotropic cylindrical shell finite element is employed. Results are presented to show significant influence of composite material systems, winding patterns and curvatures on the state of stress around the opening.


AIAA Journal ◽  
1986 ◽  
Vol 24 (11) ◽  
pp. 1851-1858 ◽  
Author(s):  
Reaz A. Chaudhuri ◽  
K. Balaramant ◽  
Vincent X. Kunukkasseril

2015 ◽  
Vol 1115 ◽  
pp. 564-567
Author(s):  
J.S. Mohamed Ali

Solutions within the framework of linear uncoupled thermoelasticity, are presented here for simply supported infinitely long anisotropic cylindrical shell panels subjected to thermal gradient. Benchmark numerical results in the form of displacements and stresses are tabulated for certain angle-ply layup useful for the assessment of improved shell theories.


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