Abstract
Details are given of a modification to the Rayleigh-Ritz method which, by extending the field of definition of the coordinate functions, improves the convergence in predicting the values of stress concentrations in elastic continua. The extension to the field of definition requires that the coordinate functions are not only complete in energy but also allows early derivatives of the displacement to be continuous. The procedure is described for three-dimensional linear elasticity and, by way of illustration, for the problem of plate bending.
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