Adaptive meshfree methods for wave propagation problems in saturated soil

Start Page
531
End Page
538
Citation
8th International Conference on Structural Dynamics (EURODYN 2011)
Contribution to Conference
8th International Conference on Structural Dynamics, EURODYN 2011 
Scopus ID
2-s2.0-84959862332
Publisher
Technologisch Instituut
ISBN
978-90-76019-31-4
An 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.
Schlagworte
ES-RPIM
H-adaptive refinement
Porous media
Stress energy error estimate
Weakened weak form
DDC Class
620: Engineering