The smoothed finite element method

This paper presents the upper bound limit analysis of a slope in cohesive-frictional soils using the node-based smoothed finite element method (NS-FEM). The soil slope was discretized as triangular elements and modeled as Mohr-Coulomb material with the associated flow rule.

14p viohoyo 25-04-2024 2 2   Download

This study investigates the ultimate bearing capacity of a rigid strip footing on a sandy slope using the Rigid Plastic Finite Element Method (RPFEM). To accurately represent a wide range of frictional conditions at the footing roughness, a new interface element was introduced, capable of accommodating both perfectly rough and perfectly smooth conditions.

6p vigojek 02-02-2024 0 0   Download

The study extensively investigated the ultimate bearing capacity (UBC) of an eccentrically loaded foundation under two scenarios (horizontal sandy soil and sandy soil slope), utilizing the Rigid Plastic Finite Element Method (RPFEM). To precisely simulate a diverse range of frictional conditions on the foundation surface roughness, a novel joint element is introduced, capable of accommodating both perfectly rough and perfectly smooth foundations.

6p vigojek 02-02-2024 3 1   Download

This enables the use of straightforward methods for isogeometric analysis in conventional finite element systems. A SOCP problem is created from the limit analysis problem, which may then be solved using Mosek optimization software. The numerical results indicate the correctness and effectiveness of the current technique by contrasting it with other approaches mentioned in the literature.

8p vijeff 27-11-2023 4 4   Download

This thesis investigates the SPH capability available in the commercial Finite Element (FE) code LS-DYNA®, for water impact problems. Experiments have been conducted on rigid wedges impacting water, which were then simulated with the SPH method. Although certain limitations were experienced with the experimental results, a positive correlation was observed with the numerical technique, thus establishing SPH as a promising method for crashworthiness design.

176p runthenight07 01-03-2023 4 2   Download

The paper aims to extend the ES-MITC3 element, which is an integration of the edge-based smoothed finite element method (ES-FEM) with the mixed interpolation of tensorial components technique for the three-node triangular element (MITC3 element), for the buckling analysis of the FGM variable-thickness plates subjected to mechanical loads.

15p inception36 30-11-2021 10 1   Download

This paper extends a numerical procedure for limit ananlysis of 3-D structures using node-based smoothed finite element method (NS-FEM) in combination with second-order cone programming (SOCP). The obtained discretization formulation is then cast in a form which involves second-order cone constraints, ensuring that the underlying optimization problem can be solved by highly efficient primaldual interior point algorithm. Furthermore, in the NS-FEM, the system stiffness matrix is computed using the smoothed strains over the smoothing domains associated with nodes.

10p chauchaungayxua12 12-05-2021 10 1   Download

This paper reports the application of consecutive-interpolation procedure into four-node quadrilateral elements for analysis of two-dimensional cracked solids made of functionally graded composite plate. Compared to standard finite element method, the recent developed consecutiveinterpolation has been shown to possess many desirable features, such as higher accuracy and smooth nodal gradients it still satisfies the Kronecker-delta property and keeps the total number of degrees of freedom unchanged.

11p nguaconbaynhay11 07-04-2021 20 1   Download

In this paper, a smoothed weighted function with the compact support is suggested to improve the numerical accuracy of blending elements for the extended finite element method (XFEM) applied to the crack problem.

14p tohitohi 19-05-2020 7 0   Download

In this research, the smoothed finite element methods (S-FEM) based on the edge-based (ES) and node-based (NS) approaches are combined to develop for the 3-node triangular plate element which uses the mixed interpolation of tensorial components (MITC3) technique to remove the shear-locking phenomenon. This approach is based on the βFEM in which the parameter β is used to tune the contribution ratio of the edge-based and node-based smoothed domains.

13p elandorr 05-12-2019 17 0   Download

This communication shows how the smoothed finite element method (SFEM) very recently proposed by G.R. Liu [14] can be extended to elasto-plasticity. The SFEM results are in excellent agreement with the finite element (FEM) and analytical results. For the examples treated, the method is quite insensitive to mesh distortion and volumetric locking.

20p thienthanquydu 23-10-2018 28 0   Download

The paper further develops the edge-based smoothed finite element method (ES-FEM) for analysis of Reissner - Mindlin plates using triangular meshes. The bending and shearing stiffness matrices are obtained using strain smoothing technique over the smoothing domains associated with edges of elements.

12p thienthanquydu 21-10-2018 36 0   Download

The instability can be clearly shown as spurious non-zero energy modes in free vibration analysis. In this paper, we present a stabilization of the node-based smoothed finite element method (SN-FEM) that is stable (no spurious non-zero energy modes) and more effective than the standard finite element method (FEM). Three numerical illustrations are given to evince the high reliability of the proposed formulation.

15p thienthanquydu 17-10-2018 25 0   Download