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 by Novelli, Larissa, Oliveira, Thaianne Simonetti de, Monteiro, Humberto Alves da Silveira, Fonseca, Gabriela Marinho, Pitangueira, Roque Luiz da Silva, Barros, Felício Bruzzi

    ISSN: 0045-7825, 1879-2138
    Published: Amsterdam Elsevier B.V 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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    Journal Article
  3. 3

    Accuracy and robustness of stress intensity factor extraction methods for the generalized/eXtended Finite Element Method by Gupta, P., Duarte, C.A., Dhankhar, A.

    ISSN: 0013-7944, 1873-7315
    Published: New York Elsevier Ltd 15.06.2017
    Published 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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    A novel application of recovered stresses in stress intensity factors extraction methods for the generalized/extended finite element method by Lins, Rafael M., Fonseca, Gabriela M., Barros, Felício B.

    ISSN: 0029-5981, 1097-0207
    Published: Hoboken, USA John Wiley & Sons, Inc 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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  5. 5

    Well-conditioning global–local analysis using stable generalized/extended finite element method for linear elastic fracture mechanics by Malekan, Mohammad, Barros, Felicio Bruzzi

    ISSN: 0178-7675, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2016
    Published 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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    Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems by Park, Kyoungsoo, Pereira, Jeronymo P., Duarte, C. Armando, Paulino, Glaucio H.

    ISSN: 0029-5981, 1097-0207
    Published: Chichester, UK John Wiley & Sons, Ltd 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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    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 by Avecillas-Leon, Javier A., Singh, Ishank, Duarte, C. Armando

    ISSN: 0376-9429, 1573-2673
    Published: Dordrecht Springer Netherlands 02.10.2025
    Published 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…”
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  8. 8

    Free in-plane vibration analysis of curved beams by the generalized/extended finite element method by Corrêa, Ramon Macedo, Arndt, Marcos, Machado, Roberto Dalledone

    ISSN: 0997-7538, 1873-7285
    Published: Berlin Elsevier Masson SAS 01.07.2021
    Published in European journal of mechanics, A, Solids (01.07.2021)
    “… This hierarchical enrichment method has been used in many complex applications, however it has not been examined for dynamic of curved beams yet…”
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  9. 9

    Validation and Improvements of a Generalized/eXtended Finite Element Method for 3-D Fatigue Crack Propagation by Avecillas-Leon, Javier A., Singh, Ishank, Duarte, C. Armando

    ISSN: 0376-9429, 1573-2673
    Published: Dordrecht Springer Nature B.V 01.11.2025
    Published 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…”
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    Generalized eXtended Finite Element Method for Deformable Cutting via Boolean Operations by Ton‐That, Q. M., Kry, P. G., Andrews, S.

    ISSN: 0167-7055, 1467-8659
    Published: Oxford Blackwell Publishing Ltd 01.12.2024
    Published in Computer graphics forum (01.12.2024)
    “… Hence, state of the art algorithms favor the extended finite element method (XFEM), which decouples the cut geometry from the simulation mesh, allowing for stable…”
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    Validation of a 3-D adaptive stable generalized/eXtended finite element method for mixed-mode brittle fracture propagation by Mukhtar, Faisal M., Alves, Phillipe D., Duarte, C. Armando

    ISSN: 0376-9429, 1573-2673
    Published: Dordrecht Springer Netherlands 01.10.2020
    Published 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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    Efficient and accurate stress recovery procedure and a posteriori error estimator for the stable generalized/extended finite element method by Lins, Rafael, Proença, Sergio Persival, Duarte, C. Armando

    ISSN: 0029-5981, 1097-0207
    Published: Bognor Regis Wiley Subscription Services, Inc 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 by Malekan, Mohammad, Silva, Leandro L., Barros, Felicio B., Pitangueira, Roque L.S., Penna, Samuel S.

    ISSN: 0965-9978
    Published: Elsevier Ltd 01.01.2018
    Published 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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    On the numerical integration in generalized/extended finite element method analysis for crack propagation problems by Campos, Bruna Caroline, Barros, Felício Bruzzi, Penna, Samuel Silva

    ISSN: 0264-4401, 1758-7077
    Published: Bradford Emerald Publishing Limited 27.01.2021
    Published in Engineering computations (27.01.2021)
    “…)/extended finite element method (XFEM) to solve linear elastic fracture mechanics problems…”
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    On the enrichment zone size for optimal convergence rate of the Generalized/Extended Finite Element Method by Gupta, Varun, Duarte, C. Armando

    ISSN: 0898-1221, 1873-7668
    Published: Elsevier Ltd 01.08.2016
    “…Singular enrichment functions are broadly used in Generalized or Extended Finite Element Methods (GFEM/XFEM…”
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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 by Cittadin, Carolina Castro, Corrêa, Ramon Macedo, Arndt, Marcos, Machado, Roberto Dalledone

    ISSN: 0997-7538, 1873-7285
    Published: Berlin Elsevier Masson SAS 01.01.2022
    Published 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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  17. 17

    Numerical analysis of a main crack interactions with micro-defects/inhomogeneities using two-scale generalized/extended finite element method by Malekan, Mohammad, Barros, Felício B.

    ISSN: 0178-7675, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2018
    Published 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 represent well the physical behavior of the problem…”
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    A displacement-based and explicit non-planar 3D crack propagation model in the generalized/extended finite element method by Wolff, Kelson P., Pitangueira, Roque L.S., Peixoto, Rodrigo G.

    ISSN: 0167-8442, 1872-7638
    Published: Amsterdam Elsevier Ltd 01.08.2020
    Published in Theoretical and applied fracture mechanics (01.08.2020)
    “…) were created decades ago and, since them, they have been used in a wide range of numerical analysis, most of them based on standard 2D Finite Element Method (FEM…”
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    Fracture analysis for materials by a stable generalized/extended finite element method by Jia, H G, Zhao, Y M, Nie, Y F, Li, S Q

    ISSN: 1811-8216, 1727-7191, 1811-8216
    Published: Taipei Oxford University Press 06.08.2021
    Published 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 new approach for physically nonlinear analysis of continuum damage mechanics problems using the generalized/extended finite element method with global-local enrichment by Monteiro, H.A.S., Novelli, L., Fonseca, G.M., Pitangueira, R.L.S., Barros, F.B.

    ISSN: 0955-7997, 1873-197X
    Published: Elsevier Ltd 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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