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Item type:Publication, Access status: without files , An efficient smoothed point interpolation method for dynamic analysesIn this work, a new procedure to compute the mass matrix in the smoothed point interpolation method is discussed. Therefore, the smoothed subdomains are employed to evaluate the mass matrix, which have already been computed for the construction of the stiffness matrix, rendering a more efficient methodology. The procedure is discussed, taking into account the edge-based, cell-based, and node-based smoothed point interpolation methods, as well as different T-schemes for the construction of the support domain of the approximating shape function, which is here formulated based on the radial point interpolation method. Numerical results of different dynamic analyses are presented, illustrating the potentialities of the proposed methodology. © 2013 World Scientific Publishing Company.Publicationtype: Journal Article58 - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Access status: without files , Adaptive meshfree methods for wave propagation problems in saturated soilAn h-adaptive procedure for the dynamic analysis of saturated soils, based on meshfree methods, is presented. For modelling the soil Biot's u, p-formulation is used. It is discretized by the meshfree edge based radial point interpolation method (ES-RPIM), which employs the weakened weak (W2) form of the partial differential equation (PDE). For spatial integration so called smoothing domains are adopted, which are reused for the error estimate within the adaptive method. Here, the stress energy error norm is adopted, which incorporates both field variables, u and p, at the same time. In areas, where the estimated error is large, a local refinement strategy inserts additional field points. This is straightforward in meshfree methods, due to their flexibility in terms of the field point distribution. The reliability of the error estimate is tested on the numerical example of squeezing a wet sponge. The estimated error is compared with the exact error, which is obtained from the analytical solution. The modelling of the wave propagation in a half plane loaded by a strip foundation demonstrates the functionality of the proposed method. It is shown, that the adaptively refined model performs highly efficient.Publicationtype: Conference Paper9