Results 11 to 20 of about 6,695 (299)

The smoothed extended finite element method [PDF]

International Journal for Numerical Methods in Engineering, 2008
peer reviewedThis paper shows how the strain smoothing technique recently proposed by G.R.Liu [1] coined as smoothed finite element method (SFEM) can be coupled to partition of unity methods, namely extended finite element method (XFEM) [2] to give birth
Minh, Q. D., McCarthy, C., Cahill, L., Nguyen, H. X., BORDAS, Stéphane, Rabczuk, T., Natarajan, S.   +6 more
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Linear smoothed extended finite element method [PDF]

International Journal for Numerical Methods in Engineering, 2017
The extended finite element method was introduced in 1999 to treat problems involving discontinuities with no or minimal remeshing through appropriate enrichment functions.
Surendran, M., Palani, G. S., Stéphane P. A. Bordas, Natarajan, Sundararajan, G. S. Palani, M. Surendran, Sundararajan Natarajan, Bordas, Stephane P. A.   +7 more
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Smoothed extended finite element method for continua

, 2009
International audienceThe extended finite element method (XFEM) introduced by Belytschko [1] allows discontinuities to be arbitrarily present in the domain, i.e, discontinuities can be independent of the mesh.
Natarajan, Sundararajan, Dal Pont, Stefano, Rabczuk, Timon, Duflot, Marc, Bordas, Stéphane   +4 more
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A Novel Triangular Prism Element Based on Smoothed Finite Element Method

International Journal of Computational Methods, 2018
In this paper, a novel triangular prism element based on smoothed finite element method (SFEM) is proposed for three-dimensional static and dynamic mechanics problems.
Yongjie Pei, Xiangyang Cui
core   +3 more sources

On the Smoothed eXtended Finite Element Method for Continuum

, 2009
In this paper, we combine the strain smoothing technique proposed by Liu et al [1] coined as the smoothed finite element method (SFEM) to partition of unity methods, namely the extended finite element method (XFEM) [2] to give birth to the smoothed ...
Natarajan, Sundararajan, Guo, Zaoyang, Rabczuk, Timon, BORDAS, Stéphane   +3 more
core   +2 more sources

Development of User Element Routine (UEL) for Cell-Based Smoothed Finite Element Method (CSFEM) in Abaqus

, 2019
In this paper, we discuss the implementation of a cell-based smoothed finite element method (CSFEM) within the commercial finite element software Abaqus.
R. K. Annabattula, S. Natarajan, Pramod Y. Kumbhar, N. Swaminathan, A. Francis   +4 more
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Polyhedral elements by means of node/edge‐based smoothed finite element method

International Journal for Numerical Methods in Engineering, 2017
The node-based or edge-based smoothed finite element method is extended to develop polyhedral elements that are allowed to have an arbitrary number of nodes or faces, and so retain a good geometric adaptability.
Hobeom Kim, Chan Lee, Lee, Chan, Seyoung Im, Kim, Hobeom, Im, Seyoung   +5 more
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Preconditioning for finite element methods with strain smoothing

Computers & Mathematics with Applications, 2023
Strain smoothing methods such as the smoothed finite element methods (S-FEMs) and the strain-smoothed element~(SSE) method have successfully improved the performance of finite elements, and there have been numerous applications of them in finite element analysis. For the sake of efficient applications to large-scale problems, it is important to develop
Chaemin Lee, Jongho Park 0002
openaire   +2 more sources

Strategy to Improve Edge-Based Smoothed Finite Element Solutions Using Enriched 2D Solid Finite Elements

Applied Sciences, 2021
In this paper, we present an automatic procedure that enhances the solution accuracy of edge-based smoothed 2D solid finite elements (three-node triangular and four-node quadrilateral elements).
Min-Han Oh, San Kim
doaj   +1 more source

Exploring three-dimensional edge-based smoothed finite element method based on polyhedral mesh to study elastic mechanics problems

Xibei Gongye Daxue Xuebao, 2021
This paper established the three-dimensional edge-based smoothed finite element method(ES-FEM) based on polyhedral mesh, divided the smoothed domain, constructed the shape function and derived the geometric matrix and the stiffness matrix.

doaj   +1 more source