Results 1 to 10 of about 579,431 (94)
An Abaqus implementation of the extended finite element method [PDF]
Engineering Fracture Mechanics, 2009 Abstract In this paper, we introduce an implementation of the extended finite element method for fracture problems within the finite element software ABAQUSTM. User subroutine ( UEL ) in Abaqus is used to enable the incorporation of extended finite element capabilities.
Eugenio Giner +2 more
exaly +2 more sources
High-order extended finite element method for cracked domains [PDF]
International Journal for Numerical Methods in Engineering, 2005 The aim of the paper is to study the capabilities of the Extended Finite Element Method (XFEM) to achieve accurate computations in non smooth situations such as crack problems. Although the XFEM method ensures a weaker error than classical finite element methods, the rate of convergence is not improved when the mesh parameter h is going to zero because ...
Yves Renard, Michel Salaun
exaly +4 more sources
The extended/generalized finite element method: An overview of the method and its applications
International Journal for Numerical Methods in Engineering, 2010 AbstractAn overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented. This method enables the accurate approximation of solutions that involve jumps, kinks, singularities, and other locally non‐smooth features within elements.
Thomas-Peter Fries, Ted Belytschko
exaly +3 more sources
On the use of the extended finite element method with quadtree/octree meshes
International Journal for Numerical Methods in Engineering, 2011 AbstractThis paper describes the use of the extended finite element method in the context of quadtree/octree meshes. Particular attention is paid to the enrichment of hanging nodes that inevitably arise with these meshes. An approach for enforcing displacement continuity along hanging edges and faces is proposed and validated on various numerical ...
G Legrain, Patrice Cartraud
exaly +4 more sources
Extended group finite element method [PDF]
Applied Numerical Mathematics, 2021 Interpolation methods for nonlinear finite element discretizations are commonly used to eliminate the computational costs associated with the repeated assembly of the nonlinear systems. While the group finite element formulation interpolates nonlinear terms onto the finite element approximation space, we propose the use of a separate approximation ...
Kevin Tolle, Nicole Marheineke
openaire +3 more sources
A Multigrid Method for a Nitsche-based Extended Finite Element Method [PDF]
International Journal of Computing and Visualization in Science and Engineering, 2021 We present a tailored multigrid method for linear problems stemming from a Nitsche-based extended finite element method (XFEM). Our multigrid method is robust with respect to highly varying coefficients and the number of interfaces in a domain.
Hardik Kothari, Rolf Krause
openaire +2 more sources
A finite element method for extended KdV equations [PDF]
International Journal of Applied Mathematics and Computer Science, 2016 Abstract The finite element method (FEM) is applied to obtain numerical solutions to a recently derived nonlinear equation for the shallow water wave problem. A weak formulation and the Petrov–Galerkin method are used. It is shown that the FEM gives a reasonable description of the wave dynamics of soliton waves governed by extended KdV ...
Anna Karczewska +3 more
openaire +4 more sources
Evolutionary topology optimization using the extended finite element method and isolines [PDF]
, 2014 This study presents a new algorithm for structural topological optimization of two-dimensional continuum structures by combining the extended finite element method (X-FEM) with an evolutionary optimization algorithm. Taking advantage of an isoline design
Dunning P. +5 more
core +1 more source
Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis [PDF]
, 2008 A numerical implementation of the eXtended Finite Element Method (X-FEM) to analyze crack propagation in a structure under dynamic loading is presented in this paper.
Caperaa, Serge +2 more
core +2 more sources
Modelling localised fracture of reinforced concrete structures [PDF]
, 2016 This paper presents a robust finite element procedure for simulating the localised fracture of reinforced concrete members. In this new model the concrete member is modelled as an assembly of plain concrete, reinforcing steel bar and bond-link elements ...
Bathe KJ +5 more
core +1 more source