Streamline upwind finite element method using 6-node triangular element with adaptive remeshing technique for convective-diffusion problems

The paper presents the extension of an edge-based smoothed finite element method using three-node triangular elements for dynamic analysis of the functionally graded porous (FGP) plates subjected to moving loads resting on the elastic foundation taking into mass (EFTIM). In this study, the edge-based smoothed technique is integrated with the mixed interpolation of the tensorial component technique for the three-node triangular element (MITC3) to give so-called ES-MITC3, which helps improve significantly the accuracy for the standard MITC3 element. The EFTIM model is formed by adding a mass parameter of foundation into the Winkler–Pasternak foundation model. Two parameters of the FGP materials, the power-law index (k) and the maximum porosity distributions (Ω), take forms of cosine functions. Some numerical results of the proposed method are compared with those of published works to verify the accuracy and reliability. Furthermore, the effects of geometric parameters and materials on forced vibration of the FGP plates resting on the EFTIM are also studied in detail.

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A stabilized cut streamline diffusion finite element method for convection–diffusion problems on surfaces

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.112645 ◽

2020 ◽

Vol 358 ◽

pp. 112645

Author(s):

Erik Burman ◽

Peter Hansbo ◽

Mats G. Larson ◽

André Massing ◽

Sara Zahedi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Convection Diffusion ◽

Streamline Diffusion ◽

Diffusion Problems ◽

Element Method

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Application of the particle finite element method for large deformation consolidation analysis

Engineering Computations ◽

10.1108/ec-09-2018-0407 ◽

2019 ◽

Vol 36 (9) ◽

pp. 3138-3163 ◽

Cited By ~ 10

Author(s):

Wei-Hai Yuan ◽

Wei Zhang ◽

Beibing Dai ◽

Yuan Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Large Deformation ◽

Excess Pore Pressure ◽

Triangular Element ◽

Particle Finite Element Method ◽

Content Type ◽

Modified Cam Clay ◽

Large Deformation Problems ◽

Element Method

Purpose Large deformation problems are frequently encountered in various fields of geotechnical engineering. The particle finite element method (PFEM) has been proven to be a promising method to solve large deformation problems. This study aims to develop a computational framework for modelling the hydro-mechanical coupled porous media at large deformation based on the PFEM. Design/methodology/approach The PFEM is extended by adopting the linear and quadratic triangular elements for pore water pressure and displacements. A six-node triangular element is used for modelling two-dimensional problems instead of the low-order three-node triangular element. Thus, the numerical instability induced by volumetric locking is avoided. The Modified Cam Clay (MCC) model is used to describe the elasto-plastic soil behaviour. Findings The proposed approach is used for analysing several consolidation problems. The numerical results have demonstrated that large deformation consolidation problems with the proposed approach can be accomplished without numerical difficulties and loss of accuracy. The coupled PFEM provides a stable and robust numerical tool in solving large deformation consolidation problems. It is demonstrated that the proposed approach is intrinsically stable. Originality/value The PFEM is extended to consider large deformation-coupled hydro-mechanical problem. PFEM is enhanced by using a six-node quadratic triangular element for displacement and this is coupled with a four-node quadrilateral element for modelling excess pore pressure.

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