Results 21 to 30 of about 612,898 (145)

A finite element method for extended KdV equations

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2016
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.
Karczewska Anna   +3 more
doaj   +1 more source

Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis [PDF]

open access: yes, 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

The Extended Finite Element Method for Dynamic Fractures

open access: yesShock and Vibration, 2005
A method for modelling arbitrary growth of dynamic cracks without remeshing is presented. The method is based on a local partition of unity. It is combined with level sets, so that the discontinuities can be represented entirely in terms of nodal data ...
Goangseup Zi   +3 more
doaj   +1 more source

Stress Intensity Factor in Hollow Square Sections Using Extended Finite Element Method [PDF]

open access: yesEngineering and Technology Journal, 2018
Hollow sections are extensively used in structural applications due to its good mechanical properties relative to weight. The presence of cracks in structural member may lead to catastrophic failure under different loading conditions.
Qusai Abdulwaha
doaj   +1 more source

A numerical approach for modelling thin cracked plates with XFEM [PDF]

open access: yes, 2009
The modelization of bending plates with through the thickness cracks is investigated. We consider the Kirchhoff-Love plate model which is valid for very thin plates.
C. Besse   +6 more
core   +4 more sources

Fracture Modelling of a Cracked Pressurized Cylindrical Structure by Using Extended Iso-Geometric Analysis (X-IGA)

open access: yesMathematics, 2021
In this study, a NURBS basis function-based extended iso-geometric analysis (X-IGA) has been implemented to simulate a two-dimensional crack in a pipe under uniform pressure using MATLAB code.
Soufiane Montassir   +4 more
doaj   +1 more source

Coupled Finite Volume Methods and Extended Finite Element Methods for the Dynamic Crack Propagation Modelling with the Pressurized Crack Surfaces

open access: yesShock and Vibration, 2017
We model the fluid flow within the crack as one-dimensional flow and assume that the flow is laminar; the fluid is incompressible and accounts for the time-dependent rate of crack opening.
Shouyan Jiang, Chengbin Du
doaj   +1 more source

Cast3M implementation of the extended finite element method for cohesive crack

open access: yesVietnam Journal of Mechanics, 2011
In this paper, the finite element for cohesive crack for quasi-brittle materials is constructed by the displacement discontinuities in the element.
Nguyen Truong Giang, Ngo Huong Nhu
doaj   +1 more source

A molecular dynamics/extended finite element method for dynamic crack propagation

open access: yesVietnam Journal of Mechanics, 2008
A multiscale method is presented which couples a molecular dynamics approach for describing fracture at the crack tip with an extended finite element method for discretizing the remainder of the domain.
Pascal Aubertin   +2 more
doaj   +1 more source

Finite Element Analysis of an Arbitrary Lagrangian–Eulerian Method for Stokes/Parabolic Moving Interface Problem With Jump Coefficients [PDF]

open access: yes, 2020
In this paper, a type of arbitrary Lagrangian–Eulerian (ALE) finite element method in the monolithic frame is developed for a linearized fluid–structure interaction (FSI) problem — an unsteady Stokes/parabolic interface problem with jump coefficients and
Lan, Rihui   +2 more
core   +2 more sources

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