메뉴 건너뛰기




Volumn 56, Issue 14, 2003, Pages 2015-2037

Brittle fracture in polycrystalline microstructures with the extended finite element method

Author keywords

Delaunay triangulation; Extended finite element method; Grain boundary; Meshing micro structures; Partition of unity; Polycrystalline microstructure; Potts grain growth model; Strong discontinuity; Two dimensional crack propagation

Indexed keywords

BRITTLE FRACTURE; CERAMIC MATERIALS; COMPUTER SIMULATION; CRACKS; FINITE ELEMENT METHOD; GRAIN BOUNDARIES; MICROSTRUCTURE; SURFACES;

EID: 0038185252     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.653     Document Type: Article
Times cited : (149)

References (70)
  • 1
    • 0028396807 scopus 로고
    • The impact of grain boundary character distribution on fracture in polycrystals
    • Watanabe T. The impact of grain boundary character distribution on fracture in polycrystals. Materials Science and Engineering A 1994; 176:39-49.
    • (1994) Materials Science and Engineering A , vol.176 , pp. 39-49
    • Watanabe, T.1
  • 3
    • 0001562772 scopus 로고    scopus 로고
    • Modifications to the microstructural topology in f.c.c. materials through thermomechanical processing
    • Kumar M, King WE, Schwartz AJ. Modifications to the microstructural topology in f.c.c. materials through thermomechanical processing. Acta Materialia 2000; 48(9):2081-2091.
    • (2000) Acta Materialia , vol.48 , Issue.9 , pp. 2081-2091
    • Kumar, M.1    King, W.E.2    Schwartz, A.J.3
  • 4
    • 0001553890 scopus 로고    scopus 로고
    • Elastic fracture in random materials
    • Beale PD, Srolovitz DJ. Elastic fracture in random materials. Physics Review B 1998; 37(10):5500-5507.
    • (1998) Physics Review B , vol.37 , Issue.10 , pp. 5500-5507
    • Beale, P.D.1    Srolovitz, D.J.2
  • 5
    • 0025403740 scopus 로고
    • Brittle fracture of disordered materials
    • Curtin WA, Scher H. Brittle fracture of disordered materials. Journal of Materials Research 1990; 5(3): 535-553.
    • (1990) Journal of Materials Research , vol.5 , Issue.3 , pp. 535-553
    • Curtin, W.A.1    Scher, H.2
  • 6
    • 0025403512 scopus 로고
    • Mechanics modeling using a spring network
    • Curtin WA, Scher H. Mechanics modeling using a spring network. Journal of Materials Research 1990; 5(3):554-562.
    • (1990) Journal of Materials Research , vol.5 , Issue.3 , pp. 554-562
    • Curtin, W.A.1    Scher, H.2
  • 7
    • 0037931866 scopus 로고
    • Spring-network and finite-element models for elasticity and fracture
    • Bardhan KK, Chakrabarti BK, Hansen A (eds), Springer: Berlin
    • Jagota A, Bennison SJ. Spring-network and finite-element models for elasticity and fracture. In Nonlinearity and Breakdown in Soft Condensed Matter, Springer Lecture Notes in Physics, Bardhan KK, Chakrabarti BK, Hansen A (eds), vol. 437. Springer: Berlin, 1994, pp. 186-201.
    • (1994) Nonlinearity and Breakdown in Soft Condensed Matter, Springer Lecture Notes in Physics , vol.437 , pp. 186-201
    • Jagota, A.1    Bennison, S.J.2
  • 9
    • 0000906519 scopus 로고    scopus 로고
    • New method for simulating fracture using an elastically uniform random geometry
    • Schlangen E, Garboczi EJ. New method for simulating fracture using an elastically uniform random geometry. International Journal of Engineering Science 1996; 34(10):1131-1144.
    • (1996) International Journal of Engineering Science , vol.34 , Issue.10 , pp. 1131-1144
    • Schlangen, E.1    Garboczi, E.J.2
  • 10
    • 0032215888 scopus 로고    scopus 로고
    • Fracture analyses using spring networks with random geometry
    • Bolander Jr JE, Saito S. Fracture analyses using spring networks with random geometry. Engineering Fracture Mechanics 1998; 61:569-591.
    • (1998) Engineering Fracture Mechanics , vol.61 , pp. 569-591
    • Bolander, J.E.1    Saito, S.2
  • 11
    • 0013451996 scopus 로고
    • Microstructural effects in the fracture of brittle materials
    • Anderson MP, Rollett AD (eds). The Metallurgical Society: Warrendale, PA
    • Yang WH, Srolovitz DJ, Hassold GN, Anderson MP. Microstructural effects in the fracture of brittle materials. In Simulation and Theory of Evolving Microstructures, Anderson MP, Rollett AD (eds). The Metallurgical Society: Warrendale, PA, 1990, pp. 277-284.
    • (1990) Simulation and Theory of Evolving Microstructures , pp. 277-284
    • Yang, W.H.1    Srolovitz, D.J.2    Hassold, G.N.3    Anderson, M.P.4
  • 15
    • 0021424208 scopus 로고
    • Computer simulation of grain growth: II. Grain size distribution, topology and local dynamics
    • Srolovitz DJ, Anderson MP, Sahni PS, Grest GS. Computer simulation of grain growth: II. Grain size distribution, topology and local dynamics. Acta Metallurgica 1984; 32(5):793-802.
    • (1984) Acta Metallurgica , vol.32 , Issue.5 , pp. 793-802
    • Srolovitz, D.J.1    Anderson, M.P.2    Sahni, P.S.3    Grest, G.S.4
  • 16
    • 0024629044 scopus 로고
    • Computer simulation of normal grain growth in three dimensions
    • Grest GS, Anderson MP, Srolovitz DJ. Computer simulation of normal grain growth in three dimensions. Philisophical Magazine 1988; B59(3):293-329.
    • (1988) Philisophical Magazine , vol.59 B , Issue.3 , pp. 293-329
    • Grest, G.S.1    Anderson, M.P.2    Srolovitz, D.J.3
  • 18
  • 19
    • 0032025304 scopus 로고    scopus 로고
    • Surface formation energy for intergranular fracture in two-dimensional polycrystals
    • Holm EA. Surface formation energy for intergranular fracture in two-dimensional polycrystals. Journal of the American Ceramic Society 1998; 81(3):455-459.
    • (1998) Journal of the American Ceramic Society , vol.81 , Issue.3 , pp. 455-459
    • Holm, E.A.1
  • 20
    • 0000644465 scopus 로고    scopus 로고
    • Characteristics of 2-dimensional crack propagation behavior by simulation and analysis
    • Kim BN, Wakayama S, Kawahara M. Characteristics of 2-dimensional crack propagation behavior by simulation and analysis. International Journal of Fracture 1996; 75:247-259.
    • (1996) International Journal of Fracture , vol.75 , pp. 247-259
    • Kim, B.N.1    Wakayama, S.2    Kawahara, M.3
  • 21
    • 0033692676 scopus 로고    scopus 로고
    • Finite element analysis of micromechanical failure modes in a heterogeneous ceramic material system
    • Zhai J, Zhou M. Finite element analysis of micromechanical failure modes in a heterogeneous ceramic material system. International Journal of Fracture 2000; 101:161-180.
    • (2000) International Journal of Fracture , vol.101 , pp. 161-180
    • Zhai, J.1    Zhou, M.2
  • 24
    • 0038608077 scopus 로고    scopus 로고
    • Numerical artifacts in cohesive fracture simulation
    • Atluri SN, Brust FW (eds). International Conferences on Computational Engineering and Sciences
    • Klein PA, Foulk JW, Chen EP. Numerical artifacts in cohesive fracture simulation. In Advances in Computational Engineering and Sciences. Atluri SN, Brust FW (eds). International Conferences on Computational Engineering and Sciences, 2000, pp. 1790-1795.
    • (2000) Advances in Computational Engineering and Sciences , pp. 1790-1795
    • Klein, P.A.1    Foulk, J.W.2    Chen, E.P.3
  • 27
    • 0025473074 scopus 로고
    • Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions
    • Dvorkin EN, Cuitino AM, Gioia G. Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions. International Journal for Numerical Methods in Engineering 1990; 30:541-564.
    • (1990) International Journal for Numerical Methods in Engineering , vol.30 , pp. 541-564
    • Dvorkin, E.N.1    Cuitino, A.M.2    Gioia, G.3
  • 28
    • 34250076312 scopus 로고
    • An analysis of strong discontinuities induced by strain softening in rate-independent inelastics solids
    • Simo JC, Oliver J, Armero F. An analysis of strong discontinuities induced by strain softening in rate-independent inelastics solids. Computational Mechanics 1993; 12:277-296.
    • (1993) Computational Mechanics , vol.12 , pp. 277-296
    • Simo, J.C.1    Oliver, J.2    Armero, F.3
  • 29
    • 0007626442 scopus 로고
    • Modelling strong discontinuities in solid mechanics by means of strain softening constitutive equations
    • Mang H, Bićanić N, de Borst R (eds). Pineridge: Swansea
    • Simo JC, Oliver J. Modelling strong discontinuities in solid mechanics by means of strain softening constitutive equations. In Computational Modelling of Concrete Structures, Mang H, Bićanić N, de Borst R (eds). Pineridge: Swansea, 1994, pp. 363-372.
    • (1994) Computational Modelling of Concrete Structures , pp. 363-372
    • Simo, J.C.1    Oliver, J.2
  • 30
    • 0030216527 scopus 로고    scopus 로고
    • An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids
    • Armero F, Garikipati K. An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids. International Journal of Solids and Structures 1996; 33:2863-2885.
    • (1996) International Journal of Solids and Structures , vol.33 , pp. 2863-2885
    • Armero, F.1    Garikipati, K.2
  • 31
    • 0032209075 scopus 로고    scopus 로고
    • Discontinuous failure analysis for mode-I and mode-II localization problems
    • Sluys LJ, Berends AH. Discontinuous failure analysis for mode-I and mode-II localization problems. International Journal of Solids and Structures 1998; 35:4257-4274.
    • (1998) International Journal of Solids and Structures , vol.35 , pp. 4257-4274
    • Sluys, L.J.1    Berends, A.H.2
  • 32
    • 0033097234 scopus 로고    scopus 로고
    • Finite element embedded localization band for finite strain plasticity based on a regularized strong discontinuity
    • Larsson R, Steinmann P, Runesson K. Finite element embedded localization band for finite strain plasticity based on a regularized strong discontinuity. Mechanics of Cohesive-frictional Materials 1999; 4(2):171-194.
    • (1999) Mechanics of Cohesive-frictional Materials , vol.4 , Issue.2 , pp. 171-194
    • Larsson, R.1    Steinmann, P.2    Runesson, K.3
  • 33
    • 0035338252 scopus 로고    scopus 로고
    • Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity
    • Regueiro RA, Borja RI. Plane strain finite element analysis of pressure sensitive plasticity with strong discontinuity. International Journal of Solids and Structures 2001; 38(21):3647-3672.
    • (2001) International Journal of Solids and Structures , vol.38 , Issue.21 , pp. 3647-3672
    • Regueiro, R.A.1    Borja, R.I.2
  • 34
  • 44
    • 0037214487 scopus 로고    scopus 로고
    • Extended finite element method and fast marching method for three-dimensional fatigue crack propagation
    • Sukumar N, Chopp DL, Moran B. Extended finite element method and fast marching method for three-dimensional fatigue crack propagation. Engineering Fracture Mechanics 2003; 70:29-48.
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 29-48
    • Sukumar, N.1    Chopp, D.L.2    Moran, B.3
  • 45
    • 0037408558 scopus 로고    scopus 로고
    • Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element method/fast marching method
    • in press
    • Chopp DL, Sukumar N. Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element method/fast marching method. International Journal of Engineering Science, 2003, in press.
    • (2003) International Journal of Engineering Science
    • Chopp, D.L.1    Sukumar, N.2
  • 46
  • 47
    • 0037140063 scopus 로고    scopus 로고
    • Non-planar 3D crack growth by the extended finite element and the level sets - Part II: Level set update
    • Gravouil A, Moës N, Belytschko T. Non-planar 3D crack growth by the extended finite element and the level sets-Part II: Level set update. International Journal for Numerical Methods in Engineering 2002; 53(11):2569-2586.
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , Issue.11 , pp. 2569-2586
    • Gravouil, A.1    Moës, N.2    Belytschko, T.3
  • 53
    • 0027578171 scopus 로고
    • A material based finite-element analysis of heterogeneous media involving Dirichlet tessellations
    • Ghosh S, Mukhopadhyay SN. A material based finite-element analysis of heterogeneous media involving Dirichlet tessellations. Computer Methods in Applied Mechanics and Engineering 1993; 104(2):211-247.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.104 , Issue.2 , pp. 211-247
    • Ghosh, S.1    Mukhopadhyay, S.N.2
  • 54
    • 0031170199 scopus 로고    scopus 로고
    • Quantitative characterization and modeling of composite microstructures by Voronoi cells
    • Ghosh S, Nowak Z, Lee K. Quantitative characterization and modeling of composite microstructures by Voronoi cells. Acta Materialia 1997; 45(6):2215-2234.
    • (1997) Acta Materialia , vol.45 , Issue.6 , pp. 2215-2234
    • Ghosh, S.1    Nowak, Z.2    Lee, K.3
  • 55
    • 0029273995 scopus 로고
    • Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite-element method
    • Ghosh S, Moorthy S. Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite-element method. Computer Methods in Applied Mechanics and Engineering 1995; 121(1-4):373-409.
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.121 , Issue.1-4 , pp. 373-409
    • Ghosh, S.1    Moorthy, S.2
  • 57
    • 0000508273 scopus 로고
    • Generalized Delaunay triangulation for planar graphs
    • Lee DT, Lin AK. Generalized Delaunay triangulation for planar graphs. Discrete and Computational Geometry 1986; 1:201-217.
    • (1986) Discrete and Computational Geometry , vol.1 , pp. 201-217
    • Lee, D.T.1    Lin, A.K.2
  • 59
    • 0019563894 scopus 로고
    • Computing Dirichlet tessellations
    • Bowyer A. Computing Dirichlet tessellations. The Computer Journal 1981; 24:162-166.
    • (1981) The Computer Journal , vol.24 , pp. 162-166
    • Bowyer, A.1
  • 60
    • 0019563697 scopus 로고
    • Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes
    • Watson DF. Computing the n-dimensional Delaunay tessellation with application to Voronoi polytopes. The Computer Journal 1981; 24(2):167-172.
    • (1981) The Computer Journal , vol.24 , Issue.2 , pp. 167-172
    • Watson, D.F.1
  • 64
    • 0001409698 scopus 로고
    • Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm
    • Rebay S. Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm. Journal of Computational Physics 1993; 106:125-138.
    • (1993) Journal of Computational Physics , vol.106 , pp. 125-138
    • Rebay, S.1
  • 66
    • 0003211910 scopus 로고
    • Triangulations, mesh generation and point placement strategies
    • Caughey DA, Hafez MM (eds). Wiley: New York
    • Baker TJ. Triangulations, mesh generation and point placement strategies. In Frontiers of Computational Fluid Dynamics, Caughey DA, Hafez MM (eds). Wiley: New York, 1994, pp. 101-115.
    • (1994) Frontiers of Computational Fluid Dynamics , pp. 101-115
    • Baker, T.J.1
  • 67
    • 0023513526 scopus 로고
    • Crack tip and associated domain integrals from momentum and energy balance
    • Moran B, Shih CF. Crack tip and associated domain integrals from momentum and energy balance. Engineering Fracture Mechanics 1987; 27(6):615-641.
    • (1987) Engineering Fracture Mechanics , vol.27 , Issue.6 , pp. 615-641
    • Moran, B.1    Shih, C.F.2
  • 68
    • 0023421452 scopus 로고
    • Calculation of fracture mechanics parameters for an arbitrary three-dimensional crack by the 'equivalent domain integral method'
    • Nikishkov GP, Atluri SN. Calculation of fracture mechanics parameters for an arbitrary three-dimensional crack by the 'equivalent domain integral method'. International Journal for Numerical Methods in Engineering 1987; 24:1801-1821.
    • (1987) International Journal for Numerical Methods in Engineering , vol.24 , pp. 1801-1821
    • Nikishkov, G.P.1    Atluri, S.N.2
  • 69
    • 0019022658 scopus 로고
    • A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity
    • ASME
    • Yau JF, Wang SS, Corten HT. A mixed-mode crack analysis of isotropic solids using conservation laws of elasticity. Journal of Applied Mechanics (ASME) 1980; 47:335-341.
    • (1980) Journal of Applied Mechanics , vol.47 , pp. 335-341
    • Yau, J.F.1    Wang, S.S.2    Corten, H.T.3
  • 70
    • 85007836717 scopus 로고
    • On the crack extension in plates under plane loading and transverse shear
    • Erdogan F, Sih GC. On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering 1963; 85:519-527.
    • (1963) Journal of Basic Engineering , vol.85 , pp. 519-527
    • Erdogan, F.1    Sih, G.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.