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The present work aims at saving computational cost of multiscale simulation on major crack/minor crack interaction problems. The multiscale extended finite element method (MsXFEM) used for the numerical simulation is developed on multiscale projection technique which enables different scale decomposition, and transition of field variables between different scales. Both macroscale and microscale problems are solved independently and alternatively, in the framework of XFEM. The improvement made in this paper is to employ corrected XFEM on the macroscale level, so that a more accurate boundary condition can be obtained for the microscale problem. The modification leads to a reduced necessary microscale domain size, meanwhile a solution of higher accuracy and enhanced convergence rate can be achieved. The numerical examples of minor cracks near a major one are studied, which show that the effect of minor cracks on major crack can be efficiently captured.
Czasopismo
Rocznik
Tom
Strony
410--418
Opis fizyczny
Bibliogr. 34 poz., rys., tab., wykr.
Twórcy
autor
- Department of Civil Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China
autor
- Department of Civil Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China
- State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China
- Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, No. 800, Dongchuan Road, Shanghai 200240, China
autor
- Department of Civil Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China
autor
- Department of Civil Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China
autor
- Department of Civil Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, No. 800, Dongchuan Road, Shanghai 200240, China
- Cullen College of Engineering, University of Houston, Houston, TX 77204, USA
Bibliografia
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- [11] R. Gracie, T. Belytschko, Concurrently coupled atomistic and XFEM models for dislocations and cracks, International Journal for Numerical Methods in Engineering 78 (3) (2009) 354–378.
- [12] S. Loehnert, A stabilization technique for the regularization of nearly singular extended finite elements, Computational Mechanics 54 (2) (2014) 523–533.
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- [14] X. Yan, A boundary element modeling of fatigue crack growth in a plane elastic plate, Mechanics Research Communications 33 (4) (2006) 470–481.
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- [24] I.V. Singh, B.K. Mishra, S. Bhattacharya, XFEM simulation of cracks, holes and inclusions in functionally graded materials, International Journal of Mechanics and Materials in Design 7 (3) (2011) 199–218.
- [25] P.A. Guidault, O. Allix, L. Champaney, C. Cornuault, A multiscale extended finite element method for crack propagation, Computer Methods in Applied Mechanics and Engineering 197 (5) (2008) 381–399.
- [26] E. Bosco, V.G. Kouznetsova, M.G.D. Geers, Multi-scale computational homogenization-localization for propagating discontinuities using X-FEM, International Journal for Numerical Methods in Engineering 102 (3–4) (2015) 496–527.
- [27] J. Chessa, H. Wang, T. Belytschko, On the construction of blending elements for local partition of unity enriched finite elements, International Journal for Numerical Methods in Engineering 57 (7) (2003) 1015–1038.
- [28] J. Wu, F. Li, An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks, Computer Methods in Applied Mechanics and Engineering 295 (2015) 77–107.
- [29] T.P. Fries, A corrected XFEM approximation without problems in blending elements, International Journal for Numerical Methods in Engineering 75 (5) (2008) 503–532.
- [30] T.T. Yu, The extended finite element method (XFEM) for discontinuous rock masses, Engineering Computations 28 (3) (2011) 634–659.
- [31] Q.Z. Xiao, B.L. Karihaloo, Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery, International Journal for Numerical Methods in Engineering 66 (9) (2006) 1378–1410.
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- [33] S.X. Gong, H. Horii, General solution to the problem of microcracks near the tip of a main crack, Journal of the Mechanics and Physics of Solids 1 (37) (1989) 27–46.
- [34] S.A. Meguid, P.E. Gaultier, S.X. Gong, A comparison between analytical and finite element analysis of main crack-microcrack interaction, Engineering Fracture Mechanics 6 (38) (1991) 451–465.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5bd62ead-e6ac-4f60-9061-54af1b8b59d9