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hp‐adaptive extended finite element method

International Journal for Numerical Methods in Engineering, 2011
SUMMARYThis paper discusses higher‐order extended finite element methods (XFEMs) obtained from the combination of the standard XFEM with higher‐order FEMs. Here, the focus is on the embedding of the latter into the partition of unity method, which is the basis of the XFEM.
Byfut, Andreas, Schröder, Andreas
openaire   +2 more sources

Fatigue crack growth simulation by extended finite element method: A review of case studies

Fatigue & Fracture of Engineering Materials & Structures
Numerical simulation of fatigue crack growth (FCG) is presented, based on the application of the extended finite element method (XFEM). Couple of case studies are presented, as a review of recent experience of the Belgrade school of XFEM simulations ...
A. Sedmak
semanticscholar   +1 more source

A general mass lumping scheme for the variants of the extended finite element method

International Journal for Numerical Methods in Engineering, 2020
A new strategy for the mass matrix lumping of enriched elements for explicit transient analysis is presented. It is shown that to satisfy the kinetic energy conservation, the use of zero or negative masses for enriched degrees of freedom of lumped mass ...
Iman Asareh   +3 more
semanticscholar   +1 more source

Extended finite element method for quasi‐brittle fracture

International Journal for Numerical Methods in Engineering, 2003
AbstractA methodology for the simulation of quasi‐static cohesive crack propagation in quasi‐brittle materials is presented. In the framework of the recently proposed extended finite element method, the partition of unity property of nodal shape functions has been exploited to introduce a higher‐order displacement discontinuity in a standard finite ...
MARIANI, STEFANO, PEREGO, UMBERTO
openaire   +3 more sources

An extended finite element method for coupled Darcy–Stokes problems

International Journal for Numerical Methods in Engineering, 2022
AbstractIn this article, we propose an extended finite element method to deal with coupled Darcy–Stokes problems with straight or curved interfaces. A mixed approximate form is presented based on Brezzi‐Douglas‐Marini finite element space and piecewise constant function space for Darcy equations, and a mixed approximate form is shown based on piecewise
Pei Cao, Jinru Chen
openaire   +1 more source

Extending the Particle Finite Element Method for sediment transport simulation

Computer Methods in Applied Mechanics and Engineering, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nicolás Galano   +2 more
openaire   +1 more source

Experimental and numerical comparisons between finite element method, element-free Galerkin method, and extended finite element method predicted stress intensity factor and energy release rate of cortical bone considering anisotropic bone modelling

Proceedings of the Institution of mechanical engineers. Part H, journal of engineering in medicine, 2019
Stress intensity factor and energy release rate are important parameters to understand the fracture behaviour of bone. The objective of this study is to predict stress intensity factor and energy release rate using finite element method, element-free ...
Ajay Kumar   +4 more
semanticscholar   +1 more source

Efficient Implementation of Extended Finite Element Method

Volume 2: 32nd Computers and Information in Engineering Conference, Parts A and B, 2012
Extended finite element method (or XFEM) locally enriches the finite element solution using a priori known analytical solution. XFEM has been used extensively in fracture mechanics to compute stress concentration at crack tips. It is a mesh independent method that allows crack to be represented as an equation instead of using the mesh to approximate it.
Vishal Hotwani, Ashok V. Kumar
openaire   +1 more source

Improved Extend Finite Element Method for SIF Calculation

Advanced Materials Research, 2013
Fatigue is the most common failure mechanisms in many engineering structures with inherent defects under variable amplitude loading, Such as lifting structures, airplanes, bridges and so on have to endure for a long term cycle loadings in the actual service.
Nian Li Lu, Wei Gang Zhan
openaire   +1 more source

Nonnodal Extended Finite-Element Method for Crack Modeling with Four-Node Quadrilateral Elements

Journal of engineering mechanics, 2019
A nonnodal extended finite-element method (NXFEM) was developed to predict two-dimensional dynamic failure with four-node quadrilateral elements.
Iman Asareh, Jeong‐Hoon Song
semanticscholar   +1 more source

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