Abstract
In this paper a boundary element formulation for analysis of shear deformable stiffened cracked plates is presented. By coupling boundary element formulation of shear deformable plate and two dimensional plane stress elasticity, dual boundary integral equations are presented. The interaction forces between stiffeners and the plate are treated as line distributed body forces along the attachment. Both concentric and eccentric stiffeners have been considered. Rectangular stiffened plate containing a single crack and double cracks subjected to uniform distributed moment on the crack surface and uniform shear load on the plate are analysed by the proposed method. Good agreement has been achieved compared with analytical solutions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aliabadi, M. H. (1998). Plate Bending Analysis with Boundary Elements. Computational Mechanics Publications, Southampton.
Aliabadi, M. H. and Rooke, D. P. (1991). Numerical Fracture Mechanics. Computational Mechanics Publications, Southampton and Kluwer Academic Publishers, Dordrecht.
El–Zafrany, A. (1999). Stress analysis of thick Reissner plates in bending under generalized loading. Boundary Element Techniques (Edited by M. H. Aliabadi), Queen Mary and Westfield College.
Greif, R. and Sanders, J. L. (1965). The effect of a stringer on the stress in a cracked sheet. Journal of Applied Mechanics 32, 59–66.
Jaswon, M. A. and Maiti, M. (1968). An integral equation formulation of plate bending problems. Journal Engineering Mathematics 2, 83–93.
Mi, Y. and Aliabadi, M. H. (1992). Dual boundary element method for three dimensional fracture mechanics analysis. Engineering Analysis with Boundary Elements 10, 161–171.
Mukhopadhyay, M. (1994). Stiffened plates in bending. Computers and Structures 50, 541–548.
Portela, A. Aliabadi, M. H. and Rooke, D. P. (1992). The dual boundary element method, effective implementation for crack problems. International Journal of Numerical Methods Engineering 33, 1269–1287.
Rashed, Y. F. Aliabadi, M. H. and Brebbia, C. A. (1998). The boundary element method for Reissner plates resting on elastic foundations. Plate Bending Analysis with Boundary Elements (edited by M. H. Aliabadi), Computational Mechanics Publications, Southampton.
Romualdi, J. P. Frasier, J. T. and Irwin, G. R. (1957). Crack extension force near a riveted stiffener, N.R.L. report 4956.
Rossow, M. P. and Ibrahimkhail, A. K. (1978). Constrain method analysis of stiffened plates. Computers and Structures 8, 51–60.
Sanders, J. L. (1959). Effect of a stringer on the stress concentration due to a crack in a thin sheet, N.A.S.A T.R R– 13.
Siddiqi, Z. A. and Kukreti, A. R. (1998). Analysis of eccentrically stiffened plates with mixed boundary condition using differential quadrature method. Appl. Math. Modelling 22, 251–275.
Vander Weeën, F. (1982). Application of the boundary integral equation method to Reissner's plate model. International Journal of Numerical Methods Engineering 18, 1–10.
Yahsi, O. S. and Shahid, M. M. (1986). The effect of a stiffener on a cracked plate under bending. Int. J. Pres. Ves. & Piping 23, 133–148.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wen, P., Aliabadi, M. & Young, A. Stiffened cracked plates analysis by dual boundary element method. International Journal of Fracture 106, 245–258 (2000). https://doi.org/10.1023/A:1026583813252
Issue Date:
DOI: https://doi.org/10.1023/A:1026583813252