Geometrically nonlinear analysis of the shallow shell by the displacement-based boundary element formulation

Engineering Analysis with Boundary Elements

Volumn 18, Issue 1, 1996, Pages 63-70

  Lin, Jinmu ^a   Long, Shuyao ^a  

^a NONE

Author keywords

Boundary element method; Geometrically nonlinear; Shallow shell

Indexed keywords

COMPUTATIONAL METHODS; DEFLECTION (STRUCTURES); INTEGRAL EQUATIONS; LINEARIZATION; PROBLEM SOLVING; SHELLS (STRUCTURES);

GEOMETRICALLY NONLINEAR ANALYSIS; IN PLANE DISPLACEMENTS; TRANSVERSE DISPLACEMENTS; WEIGHTED RESIDUAL METHOD;

BOUNDARY ELEMENT METHOD;

EID: 0030182105     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(96)00025-2     Document Type: Article

References (13)

1. O'Donoghue, P. E. & Atluri, S. N. Field/boundary element approach to the large deflection of thin flat plates. Comp. & Struct., 1987, 27 (3), 427-435.
2. Tanaka, M. Integral equation approach to small and large displacements of thin elastic plates. In Boundary Element Methods in Engineering. Berlin, Springer, 1982, p. 526-539.
3. Miyake, S. & Tosaka, N. Nonlinear bending analysis of shallow spherical shell by the integral equation methods. Proc. of the 2nd Japan National Symp. on BEM, 1985, pp. 257-262 (in Japanese).
4. Kamiya, N. & Sawaki, Y. Integral equation formulation for non-linear bending of plates-formulation by weighted residual method. ZAMM, 1982, 62, 651-655.
5. Tosaka, N. & Miyake, S. Large deflection analysis of shallow spherical shell using an integral equation method. Proc. of Int. Conf. on Boundary Elements, Beijing, 1986.
6. Tosaka, N. & Miyake, S. Nonlinear analysis of elastic shallow shell by boundary element method. In Boundary Elements VII. Berlin, Springer, 1985, pp. 4-43-4-52.
7. Tosaka, N. & Miyake, S. Geometrically nonlinear analysis of shallow spherical shell using an integral equation method. In Boundary Elements VIII. Berlin, Springer, 1986, pp. 537-546.
8. Reissner, E. Stresses and small displacement analysis of shallow spherical shells - II. J. Math. Phy., 1946, 25, 279-300.
9. Atluri, S. N. & Pipkins, D. S. Large deformation analysis of plates and shells. In Boundary Element Analysis of Plates and Shells. Berlin, Springer, 1991, pp. 141-166.
10. Zhang, J. D. & Atluri, S. N. Nonlinear quasi-static and transient response analysis of shallow shell: formulations and interior/boundary element algorithms. In Boundary-Elements. Pergamon Press, Oxford, 1986, pp. 87-109.
11. Jesus, A. C. J. The boundary element method applied to plate problems. PhD thesis, University of Southampton, 1985, pp. 50-70.
12. Stem, M. A general boundary integral formulation for the numerical solution of plate bending problems. Int. J. Solids Struct., 1979, 15, 769-782.
13. Zhang, J. D. & Atluri, S. N. Postbuckling analysis of shallow shells by the field/boundary method. Int. J. Num. Meth. Engng, 1988, 26, 571-587.