On non-linear buckling of symmetrically laminated, cylindrically orthotropic, truncated, shallow, spherical shells under uniform pressure including shear effects

International Journal of Non-Linear Mechanics

Volumn 31, Issue 1, 1996, Pages 101-115

  Ren Huai, Liu ^a  

^a JINAN UNIVERSITY   (China)

Author keywords

Buckling of laminated shells; Buckling of spherical shells; Non linear buckling

Indexed keywords

BENDING (DEFORMATION); BUCKLING; ITERATIVE METHODS; LAMINATES; NUMERICAL ANALYSIS; PRESSURE EFFECTS; SHEAR DEFORMATION;

NONDEFORMABLE RIGID BODY; NONLINEAR BUCKLING; SYMMETRICALLY LAMINATED;

SHELLS (STRUCTURES);

EID: 0029771482     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7462(95)00045-3     Document Type: Article

References (20)

1. C. Y. Chia, Nonlinear Analysis of Plates. McGraw-Hill, New York (1980).
2. R. H. Liu, Nonlinear stability of symmetrically laminated cylindrically orthotropic shallow spherical shells including transverse shear. Science in China (Series A) 35, 734-746 (1992).
3. R. H. Liu, On the nonlinear stability of symmetrically laminated cylindrically orthotropic shallow spherical shells. Appl. Math. Mech. 12, 271-279 (1991).
4. R. H. Liu, Large deflection equations of symmetrically laminated composite cylindrically orthotropic shallow spherical shells. In Applied Mathematics and Mechanics, pp. 279-284. Science Press, Beijing (1993).
5. R. H. Liu and C. Zhong, Nonlinear buckling of symmetrically laminated, cylindrically orthotropic shallow spherical shells with a circular hole at the center including transverse shear. J. Jinan Univ. (Natural Science) 15, 1-12 (1994). [In Chinese.]
6. R. H. Liu and L. H. He, A simple theory for non-linear bending of laminated composite rectangular plates including higher-order effects. Int. J. Non-Linear Mechanics 26, 537-545 (1991).
7. R. H. Liu and L. H. He, Axisymmetrical bending of laminated circular plates. J. Jiangxi Polytech. Univ. 13, 199-204 (1991). [In Chinese.]
8. R. H. Liu and L. H. He, Nonlinear bending of simply supported symmetric laminated cross-ply rectangular plates. Appl. Math. Mech. 11, 801-807 (1990).
9. Y. Basar, Y. Ding and R. Schultz, Refined shear-deformation models for composite laminated with finite rotations. Int. J. Solids Structures 30, 2611-2638 (1993).
10. C. Y. Chia, Effect of transverse shear on nonlinear vibration of anti-symmetric cross-ply shallow spherical shell with rectangular planform. In Proceedings of the Second International Symposium on Composite Materials and Structures, pp. 555-560. Peking University Press, Beijing (1992).
11. P. C. Dumir and A. Bhaslcar, Nonlinear forced vibration of orthotropic thin rectangular plates. Int. J. Mech. Sci. 30, 371-380 (1988).
12. J. N. Reddy, A refined nonlinear theory of plates with transverse shear deformation. Int. J. Solids Structures 20, 881-896 (1984).
13. K. Y. Yeh, R. H. Liu, Q. Y. Ping and S. L. Li, Nonlinear stability of thin circular shallow spherical shell under actions of axisymmetric uniform distributed line loads. Bull. Sci. 2, 142-145 (1965); J. Lanzhou Univ. 2, 10-33 (1965). [In Chinese.]
14. K. Y. Yeh, R. H. Liu, Q. Y. Ping and S. L. Li, Nonlinear stability of thin circular shallow spherical shell under actions of axisymmetric uniform distributed line loads. Bull. Sci. 2, 142-145 (1965); J. Lanzhou Univ. 2, 10-33 (1965). [In Chinese.]
15. K. Y. Yeh, R. H. Liu, C. Z. Zhang and Y. F. Xu, Nonlinear stability of thin cricular shallow spherical shell under the action of uniform edge moment. Bull Sci. 2, 145-147 (1965). [In Chinese.]
16. R. H. Liu, Nonlinear stability of circular shallow spherical shell with a hole in the center under the action of uniform moment at the inner edge. Bull. Sci. 3, 253-255 (1965). [In Chinese.]
17. T. K. Varadan, Snap-buckling of orthotropic shallow spherical shells. J. Appl. Mech. 45, 445-447 (1978).
18. B. I. Hyman, Snap-through of shallow clamped spherical caps under uniform pressure. Int. J. Non-Linear Mechanics 6, 55-67 (1971).
19. S. C. Tillman, On the buckling behavior of shallow caps under a uniform pressure load. Int. J. Solids Structures 6, 37-52 (1970).
20. A. Kaplan, Buckling of spherical shells. In Thin-shell Structures (edited by Y. C. Fung and E. E. Sechler), pp. 247-288. Prentice-Hall, Englewood Cliffs, NJ (1974).