Full thermo-mechanical coupling using eXtended finite element method in quasi-transient crack propagation [PDF]
Advanced Modeling and Simulation in Engineering Sciences, 2018 This work aims to present a complete full coupling eXtended finite element formulation of the thermo-mechanical problem of cracked bodies. The basic concept of the extended finite element method is discussed in the context of mechanical and thermal ...
Fakhreddine Habib +2 more
doaj +3 more sources
A finite element method for extended KdV equations [PDF]
International 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 +4 more sources
The Extended Finite Element Method for Dynamic Fractures [PDF]
Shock 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 +2 more sources
Application of Extended Finite Element Method for Studying Crack Propagation of Welded Strip Steel in the Cold Rolling Process. [PDF]
Materials (Basel), 2023 Chen J, Wu C, Ying J.
europepmc +3 more sources
Improvements for the solution of crack evolution using extended finite element method [PDF]
Scientific ReportsIt is demonstrated that the eXtended Finite Element Method (XFEM) is of remarkable efficiency in simulating crack evolution by eliminating the need for remeshing and refinement.
Yuxiao Wang +3 more
doaj +2 more sources
A Reduced Basis Enrichment for the eXtended Finite Element Method [PDF]
Mathematical Modelling of Natural Phenomena, 2009 This paper is devoted to the introduction of a new variant of the extended finite element method (Xfem) for the approximation of elastostatic fracture problems. This variant consists in a reduced basis strategy for the definition of the crack tip enrichment.
Elie Chahine, P. Laborde, Yves Renard
openalex +5 more sources
Effects on different full-coverage designs and materials of crack propagation in first mandibular molar: an extended finite element method study. [PDF]
Front Bioeng Biotechnol, 2023 Ni J, Xu L, Lin Y, Lai D, Huang X.
europepmc +3 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
The Smoothed Extended Finite Element Method
Civil-Comp Proceedings, 2009 Sundararajan Natarajan +6 more
openalex +3 more sources
Journal of Materials Research and Technology, 2022 Several numerical methods have developed into indispensable and effective tools for solving science-technology problems. The finite element method has particularly become a popular and effective technology, among others—a method that cannot be separated ...
Huu-Dien Nguyen, Shyh-Chour Huang
doaj +1 more source