Results 11 to 20 of about 501,815 (350)

Extended finite element method for cohesive crack growth [PDF]

open access: yesEngineering Fracture Mechanics, 2002
The extended finite element method allows one to model displacement discontinuities which do not conform to interelement surfaces. This method is applied to modeling growth of arbitrary cohesive cracks. The growth of the cohesive zone is governed by requiring the stress intensity factors at the tip of the cohesive zone to vanish.
Nicolas Moës, Ted Belytschko
openaire   +2 more sources

Linear smoothed extended finite element method [PDF]

open access: yesInternational Journal for Numerical Methods in Engineering, 2017
SummaryThe extended finite element method was introduced in 1999 to treat problems involving discontinuities with no or minimal remeshing through appropriate enrichment functions. This enables elements to be split by a discontinuity, strong or weak, and hence requires the integration of discontinuous functions or functions with discontinuous ...
M. Surendran   +3 more
openaire   +6 more sources

Modeling crack discontinuities without element‐partitioning in the extended finite element method [PDF]

open access: yesInternational Journal for Numerical Methods in Engineering, 2016
SummaryIn this paper, we model crack discontinuities in two‐dimensional linear elastic continua using the extended finite element method without the need to partition an enriched element into a collection of triangles or quadrilaterals. For crack modeling in the extended finite element, the standard finite element approximation is enriched with a ...
Chin, Eric B   +2 more
openaire   +6 more sources

Multiscale extended finite element method for deformable fractured porous media [PDF]

open access: yesJournal of Computational Physics, 2021
Deformable fractured porous media appear in many geoscience applications. While the extended finite element (XFEM) has been successfully developed within the computational mechanics community for accurate modeling of the deformation, its application in natural geoscientific applications is not straightforward.
Xu, F. (author)   +2 more
openaire   +5 more sources

Modeling curved interfaces without element‐partitioning in the extended finite element method

open access: yesInternational Journal for Numerical Methods in Engineering, 2019
SummaryIn this paper, we model holes and material interfaces (weak discontinuities) in two‐dimensional linear elastic continua using the extended finite element method on higher‐order (spectral) finite element meshes. Arbitrary parametric curves such as rational Bézier curves and cubic Hermite curves are adopted in conjunction with the level set method
Eric B. Chin, N. Sukumar
openaire   +4 more sources

Application of Finite Element Technique: A Review Study

open access: yesIraqi Journal of Chemical and Petroleum Engineering, 2023
The finite element approach is used to solve a variety of difficulties, including well bore stability, fluid flow production and injection wells, mechanical issues and others.
Ali Khaleel Faraj   +1 more
doaj   +1 more source

Topology optimization of continuum structures under geometric uncertainty using a new extended finite element method

open access: yesEngineering optimization (Print), 2021
In this article, robust topology optimization under geometric uncertainty is proposed. The design domain is discretized by an extended finite element method. A bi-directional evolutionary structural optimization carries out the optimization process.
Seyyed Ali Latifi Rostami   +3 more
semanticscholar   +1 more source

A mixed finite element discretisation of linear and nonlinear multivariate splines using the Laplacian penalty based on biorthogonal systems

open access: yesMethodsX, 2023
We consider a mixed finite element method for a linear multivariate spline using the Laplacian penalty. Our discretisation is based on biorthogonal systems leading to a very simple and efficient finite element scheme.
Bishnu P. Lamichhane
doaj   +1 more source

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