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Volumn 76, Issue 4, 2008, Pages 545-571

A recovery-type error estimator for the extended finite element method based on singular+smooth stress field splitting

Author keywords

Error estimation; Extended finite element method; Linear elastic fracture mechanics; Singular stress field; Superconvergent patch recovery

Indexed keywords

BRITTLE FRACTURE; BRITTLENESS; COMPUTATIONAL FLUID DYNAMICS; ERROR ANALYSIS; ESTIMATION; FRACTURE; FRACTURE MECHANICS; MECHANICS; POLYNOMIAL APPROXIMATION; RECOVERY; STRENGTH OF MATERIALS; STRESSES; SURFACE PLASMON RESONANCE;

EID: 57849098744     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2313     Document Type: Article
Times cited : (93)

References (36)
  • 2
    • 0242539664 scopus 로고    scopus 로고
    • Modeling quasi-static crack growth with the extended finite element method. Part I: Computer implementation
    • Sukumar N, Prévost JH. Modeling quasi-static crack growth with the extended finite element method. Part I: computer implementation. International Journal of Solids and Structures 2003; 40:7513-7537.
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 7513-7537
    • Sukumar, N.1    Prévost, J.H.2
  • 4
    • 33645049853 scopus 로고    scopus 로고
    • Enriched finite elements and level sets for damage tolerance assessment of complex structures
    • Bordas S, Moran B. Enriched finite elements and level sets for damage tolerance assessment of complex structures. Engineering Fracture Mechanics 2006; 73:1176-1201.
    • (2006) Engineering Fracture Mechanics , vol.73 , pp. 1176-1201
    • Bordas, S.1    Moran, B.2
  • 12
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part I: The recovery technique
    • Zienkiewicz OC, Zhu JZ. The superconvergent patch recovery and a posteriori error estimates. Part I: the recovery technique. International Journal for Numerical Methods in Engineering 1992; 33:1331-1364.
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 13
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part II: Error estimates and adaptivity
    • Zienkiewicz OC, Zhu JZ. The superconvergent patch recovery and a posteriori error estimates. Part II: error estimates and adaptivity. International Journal for Numerical Methods in Engineering 1992; 33:1365-1382.
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 15
    • 0028407162 scopus 로고
    • A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles
    • Babuška I, Strouboulis T, Upadhyay CS. A model study of the quality of a posteriori error estimators for linear elliptic problems. Error estimation in the interior of patchwise uniform grids of triangles. Computer Methods in Applied Mechanics and Engineering 1994; 114:307-378.
    • (1994) Computer Methods in Applied Mechanics and Engineering , vol.114 , pp. 307-378
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3
  • 16
    • 33744549195 scopus 로고    scopus 로고
    • Statically admissible stress recovery using the moving least squares technique
    • Topping BHV, Mota Soares CA eds, Saxe-Coburg Publications: Stirling, Scotland
    • Xiao QZ, Karihaloo BL. Statically admissible stress recovery using the moving least squares technique. In Progress in Computational Structures Technology, Topping BHV, Mota Soares CA (eds). Saxe-Coburg Publications: Stirling, Scotland, 2004; 111-138.
    • (2004) Progress in Computational Structures Technology , pp. 111-138
    • Xiao, Q.Z.1    Karihaloo, B.L.2
  • 19
    • 34250351160 scopus 로고    scopus 로고
    • Derivative recovery and a posteriori error estimate for extended finite elements
    • Bordas S, Duflot M. Derivative recovery and a posteriori error estimate for extended finite elements. Computer Methods in Applied Mechanics and Engineering 2007; 196:3381-3399.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , pp. 3381-3399
    • Bordas, S.1    Duflot, M.2
  • 21
    • 57849113081 scopus 로고    scopus 로고
    • A posteriori error estimation for extended finite element by an extended global recovery
    • DOI: 10.1002/nme.2332
    • Duflot M, Bordas S. A posteriori error estimation for extended finite element by an extended global recovery. International Journal for Numerical Methods in Engineering 2008; DOI: 10.1002/nme.2332.
    • (2008) International Journal for Numerical Methods in Engineering
    • Duflot, M.1    Bordas, S.2
  • 28
    • 0026243609 scopus 로고
    • Application of the finite element method to linear elastic fracture mechanics
    • Banks-Sills L. Application of the finite element method to linear elastic fracture mechanics. Applied Mechanics Review 1991; 44:447-461.
    • (1991) Applied Mechanics Review , vol.44 , pp. 447-461
    • Banks-Sills, L.1
  • 30
    • 57849147076 scopus 로고
    • Elastic-plastic analysis of cracks on bimaterial interfaces: Part I - small scale yielding
    • Shih C, Asaro R. Elastic-plastic analysis of cracks on bimaterial interfaces: part I - small scale yielding. Journal of Applied Mechanics 1988; 8:537-545.
    • (1988) Journal of Applied Mechanics , vol.8 , pp. 537-545
    • Shih, C.1    Asaro, R.2
  • 31
    • 0019022658 scopus 로고
    • A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity
    • Yau J, Wang S, Corten H. A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity. Journal of Applied Mechanics 1980; 47:335-341.
    • (1980) Journal of Applied Mechanics , vol.47 , pp. 335-341
    • Yau, J.1    Wang, S.2    Corten, H.3
  • 32
    • 0031190462 scopus 로고    scopus 로고
    • A model study of the quality of a posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behaviour near the boundary
    • Babuška I, Strouboulis T, Upadhyay CS. A model study of the quality of a posteriori error estimators for finite element solutions of linear elliptic problems, with particular reference to the behaviour near the boundary. International Journal for Numerical Methods in Engineering 1997; 40:2521-2577.
    • (1997) International Journal for Numerical Methods in Engineering , vol.40 , pp. 2521-2577
    • Babuška, I.1    Strouboulis, T.2    Upadhyay, C.S.3
  • 35
    • 84989405756 scopus 로고
    • A robust implementation of Zienkiewicz and Zhu's local patch recovery method
    • Labbe P, Garon A. A robust implementation of Zienkiewicz and Zhu's local patch recovery method. Communications in Numerical Methods in Engineering 1995; 11:427-434.
    • (1995) Communications in Numerical Methods in Engineering , vol.11 , pp. 427-434
    • Labbe, P.1    Garon, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.