Search Results - "Generalized/Extended finite element method"
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Stable Generalized/eXtended Finite Element Method with global–local enrichment for material nonlinear analysis
ISSN: 0045-7825, 1879-2138Published: Amsterdam Elsevier B.V 01.12.2020Published in Computer methods in applied mechanics and engineering (01.12.2020)“…This paper presents a novel methodology for the solution of nonlinear problems using the Stable Generalized/eXtended Finite Element Method (SGFEM…”
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Validation and Improvements of a Generalized/eXtended Finite Element Method for 3-D Fatigue Crack Propagation: Validation and Improvements of a 3-D GFEM for Fatigue Crack Propagation
ISSN: 0376-9429, 1573-2673Published: Dordrecht Springer Netherlands 02.10.2025Published in International journal of fracture (02.10.2025)“…The main objectives of this paper are to simulate 3-D fatigue crack propagation using a Generalized Finite Element Method (GFEM) and to validate the results…”
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Free in-plane vibration analysis of curved beams by the generalized/extended finite element method
ISSN: 0997-7538, 1873-7285Published: Berlin Elsevier Masson SAS 01.07.2021Published in European journal of mechanics, A, Solids (01.07.2021)“…Arches and curved beams are solved here by the G/XFEM in the context of free vibration problems. This hierarchical enrichment method has been used in many…”
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Accuracy and robustness of stress intensity factor extraction methods for the generalized/eXtended Finite Element Method
ISSN: 0013-7944, 1873-7315Published: New York Elsevier Ltd 15.06.2017Published in Engineering fracture mechanics (15.06.2017)“…) extraction methods for the Generalized/eXtended Finite Element Method (G/XFEM): the Cutoff Function Method (CFM…”
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Validation and Improvements of a Generalized/eXtended Finite Element Method for 3-D Fatigue Crack Propagation
ISSN: 0376-9429, 1573-2673Published: Dordrecht Springer Nature B.V 01.11.2025Published in International journal of fracture (01.11.2025)“…The main objectives of this paper are to simulate 3-D fatigue crack propagation using a Generalized Finite Element Method (GFEM) and to validate the results…”
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Generalized eXtended Finite Element Method for Deformable Cutting via Boolean Operations
ISSN: 0167-7055, 1467-8659Published: Oxford Blackwell Publishing Ltd 01.12.2024Published in Computer graphics forum (01.12.2024)“…Traditional mesh‐based methods for cutting deformable bodies rely on modifying the simulation mesh by deleting, duplicating, deforming or subdividing its…”
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A novel application of recovered stresses in stress intensity factors extraction methods for the generalized/extended finite element method
ISSN: 0029-5981, 1097-0207Published: Hoboken, USA John Wiley & Sons, Inc 30.12.2023Published in International journal for numerical methods in engineering (30.12.2023)“…Summary An efficient improvement to compute Stress Intensity Factors (SIFs) in two‐dimensional fracture mechanics problems solved by Generalized/eXtended Finite Element Method and Stable Generalized Finite Element Method is proposed…”
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A computational framework for a two-scale generalized/extended finite element method: Generic imposition of boundary conditions
ISSN: 0264-4401Published: 01.01.2017Published in Engineering computations (01.01.2017)Get full text
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Validation of a 3-D adaptive stable generalized/eXtended finite element method for mixed-mode brittle fracture propagation
ISSN: 0376-9429, 1573-2673Published: Dordrecht Springer Netherlands 01.10.2020Published in International journal of fracture (01.10.2020)“…In this paper, a Stable Generalized/eXtended Finite Element Method (SGFEM) is combined with mesh adaptivity for the robust and computationally efficient simulation of mixed-mode brittle fracture propagation…”
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Well-conditioning global–local analysis using stable generalized/extended finite element method for linear elastic fracture mechanics
ISSN: 0178-7675, 1432-0924Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2016Published in Computational mechanics (01.11.2016)“…Using the locally-enriched strategy to enrich a small/local part of the problem by generalized/extended finite element method (G/XFEM…”
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Efficient and accurate stress recovery procedure and a posteriori error estimator for the stable generalized/extended finite element method
ISSN: 0029-5981, 1097-0207Published: Bognor Regis Wiley Subscription Services, Inc 21.09.2019Published in International journal for numerical methods in engineering (21.09.2019)“…Summary This paper presents a new stress recovery technique for the generalized/extended finite element method (G/XFEM…”
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Two-dimensional fracture modeling with the generalized/extended finite element method: An object-oriented programming approach
ISSN: 0965-9978Published: Elsevier Ltd 01.01.2018Published in Advances in engineering software (1992) (01.01.2018)“…•A new computational framework for crack nucleation and propagation that covers both linear and nonlinear material models, using the Generalized/Extended Finite Element Method (G/XFEM…”
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Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems
ISSN: 0029-5981, 1097-0207Published: Chichester, UK John Wiley & Sons, Ltd 04.06.2009Published in International journal for numerical methods in engineering (04.06.2009)“…A mapping method is developed to integrate weak singularities, which result from enrichment functions in the generalized/extended finite element method…”
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On the numerical integration in generalized/extended finite element method analysis for crack propagation problems
ISSN: 0264-4401, 1758-7077Published: Bradford Emerald Publishing Limited 27.01.2021Published in Engineering computations (27.01.2021)“…Purpose The purpose of this paper is to evaluate some numerical integration strategies used in generalized (G)/extended finite element method (XFEM) to solve…”
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On the enrichment zone size for optimal convergence rate of the Generalized/Extended Finite Element Method
ISSN: 0898-1221, 1873-7668Published: Elsevier Ltd 01.08.2016Published in Computers & mathematics with applications (1987) (01.08.2016)“…Singular enrichment functions are broadly used in Generalized or Extended Finite Element Methods (GFEM/XFEM) for linear elastic fracture mechanics problems…”
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Selective enrichment and modal matrix reduction in the generalized / eXtended Finite Element Method applied to dynamic analysis of plane state problems
ISSN: 0997-7538, 1873-7285Published: Berlin Elsevier Masson SAS 01.01.2022Published in European journal of mechanics, A, Solids (01.01.2022)“…The Generalized/eXtended Finite Element Method (G/XFEM) has successfully been applied in the dynamic analysis of a variety of structures such as bars, trusses, beams, and two-dimensional (2D) problems…”
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Numerical analysis of a main crack interactions with micro-defects/inhomogeneities using two-scale generalized/extended finite element method
ISSN: 0178-7675, 1432-0924Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2018Published in Computational mechanics (01.10.2018)“…Generalized or extended finite element method (G/XFEM) models the crack by enriching functions of partition of unity type with discontinuous functions that…”
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Fracture analysis for materials by a stable generalized/extended finite element method
ISSN: 1811-8216, 1727-7191, 1811-8216Published: Taipei Oxford University Press 06.08.2021Published in Journal of mechanics (06.08.2021)“…In this paper, a method is proposed for extracting fracture parameters in isotropic material cracking via a stable generalized/extended finite element method…”
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A displacement-based and explicit non-planar 3D crack propagation model in the generalized/extended finite element method
ISSN: 0167-8442, 1872-7638Published: Amsterdam Elsevier Ltd 01.08.2020Published in Theoretical and applied fracture mechanics (01.08.2020)“…•The DCM for SIFs extraction is easily implemented in FEM existing codes.•The DCM can be successfully used in G/XFEM crack propagation problems.•Reasonable…”
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A new approach for physically nonlinear analysis of continuum damage mechanics problems using the generalized/extended finite element method with global-local enrichment
ISSN: 0955-7997, 1873-197XPublished: Elsevier Ltd 01.04.2020Published in Engineering analysis with boundary elements (01.04.2020)“…The Generalized/Extended Finite Element Method (G/XFEM) is a numerical technique suitable to solve a wide range of continuum mechanics problems…”
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