The extended finite element method

This paper investigates fracture mechanics in particle-reinforced composites by using the extended finite element method enhanced by the consecutive-interpolation quadrilateral element. These composite materials have discontinuous boundaries such as cracks, voids and hard inclusions.

18p viamancio 04-06-2024 1 0   Download

The eXtended Finite Element Method (XFEM) produces high effectiveness in analyzing the crack propagation in structures. In this approach, the crack is modeled through enrichment functions instead of explicitly represented on the geometry. This study presents an object-oriented program to simulate crack propagation in 2-dimensional structures.

9p dathienlang1012 03-05-2024 2 0   Download

For plate bending problems, using a plate theory to model thin plate structures is less computationally expensive than 3D modelling. The Kirchhoff-Love plate theory is appropriate for analysing thin plate structures. If the membrane deformation is ignored in the KirchhoffLove plate, each node has only one degree of freedom – the deflection.

14p vidudley 20-02-2023 11 2   Download

In this paper, the extended consecutive-interpolation finite element method (XCFEM) is employed to model the mix-mode interface cracks between two dissimilar isotropic materials. This will take advantage of the idea of the consecutive-interpolation finite element method (CFEM) and the enrichment functions of XFEM for discontinuous problems.

13p vidudley 20-02-2023 6 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

Dynamic equations of flexible robot in this paper are built by using finite element method (FEM) and Lagrange’s equations of the second kind approach. The generalized displacement vector in dynamic equations includes motion and elastic displacement variables.

10p vinevada2711 19-03-2021 14 2   Download

In this paper, we focus specially on the effective elastic moduli of the heterogeneous composites with arbitrary inclusion shapes. The main idea of this paper is to replace those inhomogeneities by simple equivalent circular (spherical) isotropic inclusions with modified elastic moduli. Available simple approximations for the equivalent circular (spherical) inclusion media then can be used to estimate the effective properties of the original medium.

13p cothumenhmong8 04-11-2020 13 2   Download

Photoelastic images of pulsed laser ablation in liquid were simulated by Finite Element Method. The real stress distribution in the target was deduced from the photoelastic images. The simulation result can represent to some extend the photoelastic images taken by the experiment.

6p viputrajaya2711 22-06-2020 21 0   Download

Linear matching method (LMM) is one of the effective numerical methods for the limit and shakedown analysis, which computes the converging upper series by solving iteratively linear elastic analysis with Young’s modulus varying in space.

14p tohitohi 19-05-2020 17 0   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 paper, an extended forming limit stress diagram (EFLSD) was applied to predict neck initiation failure in tube hydroforming of metal bellows. The proposed EFLSD was used in conjunction with ABAQUS/ EXPLICIT finite element simulations to predict the onset of necking in tube hydroforming of metal bellows.

10p tohitohi 19-05-2020 15 1   Download

Vật liệu có lẫn những hạt cứng là một trong những loại vật liệu được sử dụng phổ biến trong nền công nghiệp hiện đại. Vết nứt và khuyết tật xuất hiện sẽ gây ra hiện tượng tập trung ứng suất và làm ảnh hưởng lớn đến độ bền của kết cấu. Các khuyết tật trong vật liệu có thể được mô tả dưới dạng các lỗ trống. Ứng xử của vết nứt trong miền xuất hiện lỗ trống và các hạt cứng sẽ phức tạp hơn dưới tác dụng của tải trọng động.

7p quenchua1 09-11-2019 44 1   Download

The level set method is used for representing the location of random inclusions. Numerical examples are presented to demonstrate the accuracy and potential of this technique. The obtained results are compared with available refered results and COMSOL, the finite element method software.

7p everydaywish 25-12-2018 29 0   Download

The inclusions also have FGM properties. Numerical examples are considered and their obtained results are compared with the COMSOL, the finite element method software.

7p miulovesmile2 01-11-2018 47 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

This paper describes some results from the analysis of cracked plates using XFEM. Extended finite elements allow the entire crack to be represented independently of the meshing. The elements employ discontinuous functions and the facture mechanics two dimensional asymptotic crack tip displacement fields. The Fortran source code of Cast3M applies these elements to a set of examples.

9p thienthanquydu 21-10-2018 25 1   Download

Next, the zonal coupling method between the atomistic and continuum models is described, including an assessment of the energy transfer between both domains for a one-dimensional problem. Finally, a two-dimensional computation is presented of dynamic fracture using the coupled model.

13p thienthanquydu 21-10-2018 33 0   Download

In this paper, the finite element for cohesive crack for quasi-brittle materials is constructed by XFEM, which allows incorporation of the displacement discontinuities in the element. The algorithm of construction and procedures for involving this finite element into code Cast3M are presented. The numerical calculations in fracture mechanics are presented to demonstrate the benefits of the proposed implementation.

10p thienthanquydu 17-10-2018 39 1   Download