On the evaluation of the stresses in the BEM for Reissner plate-bending problems

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Abstract

This paper deals with the evaluation of the boundary and internal stresses in the boundary element method (BEM) for plate-bending analysis. The Reissner plate theory is employed as the general plate-bending theory for modelling both thin and thick plates. Two methods are discussed for the evaluation of boundary stresses. The first is based on the local boundary tractions and strains, and the other is based on the direct evaluation of the stress tensor using the stress integral equation. The proposed methods can be used as postprocessing procedures for the BEM solution. The evaluation of three-dimensional (3-D) internal stresses through the plate thickness is also discussed and compared with the 3-D boundary element solutions. Numerical examples are presented to demonstrate the accuracy of the proposed methods. © 1997 by Elsevier Science Inc.

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Rashed, Y. F., Aliabadi, M. H., & Brebbia, C. A. (1997). On the evaluation of the stresses in the BEM for Reissner plate-bending problems. Applied Mathematical Modelling, 21(3), 155–163. https://doi.org/10.1016/S0307-904X(97)00004-8

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