SUMMARYA meshfree computational method is proposed in this paper to solve Kirchhoff plate problems of various geometries. The deflection of the thin plate is approximated by using a Hermite-type radial basis function approximation technique. The standard Galerkin method is adopted to discretize the governing partial differential equations which were derived from using the Kirchhoff's plate theory. The degrees of freedom for the slopes are included in the approximation to make the proposed method effective in enforcing essential boundary conditions. Numerical examples with different geometric shapes and various boundary conditions are given to verify the efficiency, accuracy, and robustness of the method.

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In this paper, a kinematic approach and an iterative procedure, earlier proposed for\ud limit analysis, are adopted for shakedown analysis under variable repeated loading. Reference\ud is made to three-dimensional structures of engineering relevance, such as pressurized pipelines\ud and vessels with ¯uctuating pressure and with slot damages due, e.g. to pitting corrosion. The\ud numerical performance of the solution algorithm is investigated, and the cost-effectiveness of\ud the proposed direct shakedown analysis method is assessed and compared to that of timemarching\ud solutions by up-to-date codes

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