An Automatic Adaptive Edge-based Smoothed Point Interpolation Method for Coupled Flow-Deformation Analysis of Saturated Porous Media

Investigating the Influence of Non-Uniform Characteristics of Layered Foundation on Ground Vibration Using an Efficient 2.5D Random Finite Element Method

“…By applying Fourier transform in the train's moving direction and using the four-node isoparametric elements, the proposed 2.5D finite element method can avoid the volumetric locking problems and improve the computational efficiency with high accuracy. However, besides the FEM, it is undeniable that some other numerical methods have been developed which have their own advantages, for example, mesh-free methods including the smoothed point interpolation method (SPIM), material point method (MPM), and smooth particle hydrodynamics (SPH) [47][48][49]. In our study dealing with the dynamic response of a roadbed under random roughness conditions, the 2.5D FEM requires repeated calculation at each harmonic component of the roughness spectrum, which will no longer highlight the advantage of the high efficiency of 2.5D FEM.…”

“…In our study dealing with the dynamic response of a roadbed under random roughness conditions, the 2.5D FEM requires repeated calculation at each harmonic component of the roughness spectrum, which will no longer highlight the advantage of the high efficiency of 2.5D FEM. Taking advantage of the other methods [47][48][49] in future research may improve the proposed method for better study of the non-uniform ground response under moving loads with track roughness conditions.…”

Towards an error indicator-based h-adaptive refinement scheme in kinematic upper-bound limit analysis with the presence of seepage forces

“…As stated above, the refinement scheme proposed by Dezfooli et al (2022Dezfooli et al ( , 2023 ensures that the rate new elements are added to the current mesh gradually decreases during the refinement process. For this reason, a similar refinement criterion is thus proposed and incorporated into the UBFEM.…”

“…Recently, Dezfooli et al (2022) proposed a simple error indicator along with an h-refinement strategy. To achieve a fully automatic adaptive analysis, a novel termination criterion ensure that the mesh refinement automatically stops is thus proposed.…”

“…Unlike previous adopted mesh refinement scheme (Nguyen-Xuan et al, 2016;Zhang et al, 2019a;Zheng and Yang, 2022) with a continuously significant growth in the refined elements, the later refinement criteria ensures that the total number of refined elements gradually increases initially and then continues to decrease with adaptive step. For this reason, the error indicator and refinement criteria proposed by Dezfooli et al (2022) are also preferred in this study and thus incorporated into the UBFEM.…”