Yf. Rashed et al., THE BOUNDARY-ELEMENT METHOD FOR THICK PLATES ON A WINKLER FOUNDATION, International journal for numerical methods in engineering, 41(8), 1998, pp. 1435-1462
In this paper the application of the boundary element method to thick
plates resting on a Winkler foundation is presented. The Reissner plat
e bending theory is used to model the plate behaviour. The Winkler fou
ndation model is represented by continuous springs which are directly
incorporated into the governing differential equation. The fundamental
solutions are constructed using operator decoupling technique. These
fundamental solutions represent three different cases depending on the
problem constants. The explicit forms of the boundary and internal po
int kernels are given in all cases. Quadratic isoparametric boundary e
lements are used to model the plate boundary. Several examples are pre
sented to demonstrate the accuracy of the present formulation. (C) 199
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