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Boundary element analysis of unilateral supported Reissner plates on elastic foundations

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Abstract

 A boundary element–linear complementary equation method (BE–LCEM) is developed for the bending of thick plates with free edges on unilateral elastic foundations with particular emphasis on the non-contact phenomenon between the plates and the subgrades. The theory of thick plate was used, and three boundary conditions on free edge have been adopted. Following numerical discretization by using the boundary integral equation method for this contact problem, an effective linear complementary equation is then established with two complementary variables for each contact node. Complementary variables are taken as the normal contact force and the relative deflection between the plate and the foundation. The solution of which can be obtained using mathematical programming. A number of examples are presented to demonstrate the effectiveness of the features as implemented. Two types of foundations (Winkler and half-space) are examined and the method is shown to provide good agreement with available analytical solutions obtained by other investigators.

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Received 16 July 2000

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Xiao, J. Boundary element analysis of unilateral supported Reissner plates on elastic foundations. Computational Mechanics 27, 1–10 (2001). https://doi.org/10.1007/s004660000207

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  • DOI: https://doi.org/10.1007/s004660000207

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