메뉴 건너뛰기




Volumn 161, Issue 1, 2010, Pages 21-39

Dynamic crack propagation analysis of orthotropic media by the extended finite element method

Author keywords

Composites; Crack propagation; Dynamic stress intensity factor; Extended finite element method (XFEM)

Indexed keywords

CIRCUMFERENTIAL STRESS; COMPOSITES; CRACK ORIENTATIONS; CRACK SPEED; DYNAMIC CRACK PROPAGATION; DYNAMIC STRESS INTENSITY FACTORS; EFFICIENT FORMULATION; ELASTO-DYNAMICS; EXTENDED FINITE ELEMENT METHOD; EXTENDED FINITE ELEMENT METHOD (XFEM); FINITE ELEMENT MESHES; INTEGRAL METHOD; PARTITION OF UNITY; PROPAGATION PATHS; TEST PROBLEM; TIME-DEPENDENT EQUATIONS; TIME-INTEGRATION SCHEME; UNCONDITIONALLY STABLE; WEAK FORMULATION;

EID: 75549090569     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-009-9423-7     Document Type: Article
Times cited : (103)

References (40)
  • 1
    • 0032193155 scopus 로고    scopus 로고
    • Crack growth analysis in homogeneous orthotropic laminates
    • DOI 10.1016/S0266-3538(97)00240-6, PII S0266353897002406
    • MH Aliabadia P Sollero 1998 Crack growth analysis in homogeneous orthotropic laminates Compos Sci Technol 58 1697 1703 10.1016/S0266-3538(97) 00240-6 (Pubitemid 29007713)
    • (1998) Composites Science and Technology , vol.58 , Issue.10 , pp. 1697-1703
    • Aliabadi, M.H.1    Sollero, P.2
  • 2
    • 20444437547 scopus 로고    scopus 로고
    • Analysis of three-dimensional crack initiation and propagation using the extended finite element method
    • DOI 10.1002/nme.1305
    • PMA Areias T Belytschko 2005 Analysis of three-dimensional crack initiation and propagation using the extended finite element method Int J Numer Meth Eng 63 760 788 1122.74498 10.1002/nme.1305 (Pubitemid 40815375)
    • (2005) International Journal for Numerical Methods in Engineering , vol.63 , Issue.5 , pp. 760-788
    • Areias, P.M.A.1    Belytschko, T.2
  • 3
    • 33847733461 scopus 로고    scopus 로고
    • Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method
    • DOI 10.1002/nme.1839
    • A Asadpoure S Mohammadi 2007 Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method Int J Numer Methods Eng 69 25150 25172 10.1002/nme.1839 (Pubitemid 46380537)
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , Issue.10 , pp. 2150-2172
    • Asadpoure, A.1    Mohammadi, S.2
  • 4
    • 33750623726 scopus 로고    scopus 로고
    • Crack analysis in orthotropic media using the extended finite element method
    • DOI 10.1016/j.tws.2006.07.007, PII S0263823106001170
    • A Asadpoure S Mohammadi A Vafai 2006 Crack analysis in orthotropic media using the extended finite element method Thin-Walled Struct 44 9 1031 1038 10.1016/j.tws.2006.07.007 (Pubitemid 44692887)
    • (2006) Thin-Walled Structures , vol.44 , Issue.9 , pp. 1031-1038
    • Asadpoure, A.1    Mohammadi, S.2    Vafai, A.3
  • 5
    • 33746430898 scopus 로고    scopus 로고
    • Modeling crack in orthotropic media using a coupled finite element and partition of unity methods
    • DOI 10.1016/j.finel.2006.05.001, PII S0168874X06000904
    • A Asadpoure S Mohammadi A Vafai 2006 Modeling crack in orthotropic media using a coupled finite element and partion of unity methods Finite Elem Anal Des 42 13 1165 1175 10.1016/j.finel.2006.05.001 (Pubitemid 44128634)
    • (2006) Finite Elements in Analysis and Design , vol.42 , Issue.13 , pp. 1165-1175
    • Asadpoure, A.1    Mohammadi, S.2    Vafai, A.3
  • 6
    • 84970099176 scopus 로고
    • A finite element program for fracture analysis of composite material
    • American Society for Testing and Materials, Philadelphia, PA
    • Atluri SN, Kobayashi AS, Nakagaki M (1975) A finite element program for fracture analysis of composite material. In: Fracture mechanics of composites. ASTM STP 593. American Society for Testing and Materials, Philadelphia, PA
    • (1975) Fracture Mechanics of Composites. ASTM STP 593
    • Atluri, S.N.1    Kobayashi, A.S.2    Nakagaki, M.3
  • 7
    • 0032649861 scopus 로고    scopus 로고
    • Elastic crack growth in finite elements with minimal remeshing
    • 0943.74061 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3. 0.CO;2-S 1665754
    • T Belytschko T Black 1999 Elastic crack growth in finite elements with minimal remeshing Int J Numer Meth Eng 45 601 620 0943.74061 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S 1665754
    • (1999) Int J Numer Meth Eng , vol.45 , pp. 601-620
    • Belytschko, T.1    Black, T.2
  • 8
    • 24944553482 scopus 로고    scopus 로고
    • Singular enrichment finite element method for elastodynamic crack propagation
    • 1076.74051
    • T Belytschko H Chen 2004 Singular enrichment finite element method for elastodynamic crack propagation Int J Numer Meth Eng 1 1 1 15 1076.74051
    • (2004) Int J Numer Meth Eng , vol.1 , Issue.1 , pp. 1-15
    • Belytschko, T.1    Chen, H.2
  • 9
    • 0344062898 scopus 로고    scopus 로고
    • Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
    • DOI 10.1002/nme.941
    • T Belytschko H Chen J Xu G Zi 2003 Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment Int J Numer Meth Eng 58 1873 1905 1032.74662 10.1002/nme.941 (Pubitemid 37481918)
    • (2003) International Journal for Numerical Methods in Engineering , vol.58 , Issue.12 , pp. 1873-1905
    • Belytschko, T.1    Chen, H.2    Xu, J.3    Zi, G.4
  • 10
    • 0023126114 scopus 로고
    • Finite element modelling of fracture propagation in orthotropic materials
    • DOI 10.1016/0013-7944(87)90196-2
    • TJ Boone PA Wawrzynek AR Ingraffea 1987 Finite element modeling of fracture propagation in orthotropic materials Eng Fract Mech 26 185 201 10.1016/0013-7944(87)90196-2 (Pubitemid 17532176)
    • (1987) Engineering Fracture Mechanics , vol.26 , Issue.2 , pp. 185-201
    • Boone Thomas, J.1    Wawrzynek Paul, A.2    Ingraffea Anthony, R.3
  • 11
    • 0030212427 scopus 로고    scopus 로고
    • Computational modeling of impact damage in brittle materials
    • 0929.74101 10.1016/0020-7683(95)00255-3
    • GT Camacho M Ortiz 1996 Computational modeling of impact damage in brittle materials Int J Solids Struct 33 2899 2938 0929.74101 10.1016/0020-7683(95)00255-3
    • (1996) Int J Solids Struct , vol.33 , pp. 2899-2938
    • Camacho, G.T.1    Ortiz, M.2
  • 12
    • 11144312632 scopus 로고    scopus 로고
    • Arbitrary discontinuities in space-time finite elements by level sets and X-FEM
    • DOI 10.1002/nme.1155
    • J Chessa T Belytschko 2004 Arbitrary discontinuities in space-time finite elements by level sets and X-FEM Int J Numer Methods Eng 61 2595 2614 1077.76039 10.1002/nme.1155 2104995 (Pubitemid 40042674)
    • (2004) International Journal for Numerical Methods in Engineering , vol.61 , Issue.15 , pp. 2595-2614
    • Chessa, J.1    Belytschko, T.2
  • 13
    • 30944447536 scopus 로고    scopus 로고
    • A local space-time discontinuous finite element method
    • DOI 10.1016/j.cma.2005.05.022, PII S0045782505002859
    • J Chessa T Belytschko 2006 A local space-time discontinuous finite element method Comput Methods Appl Mech Eng 195 1325 1343 1122.76052 10.1016/j.cma.2005.05.022 2203971 (Pubitemid 43116253)
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.13-16 , pp. 1325-1343
    • Chessa, J.1    Belytschko, T.2
  • 14
    • 35548976761 scopus 로고    scopus 로고
    • X-FEM a good candidate for energy conservation in simulation of brittle dynamic crack propagation
    • DOI 10.1016/j.cma.2007.04.011, PII S0045782507001636, Enriched Simulations Methods and Related Topics
    • A Combescure A Gravouil D Gregoire J Rethore 2008 X-FEM a good candidate for energy conservation in simulation of brittle dynamic crack propagation Comput Methods Appl Mech Eng 197 309 318 1169.74593 10.1016/j.cma.2007.04.011 (Pubitemid 350010580)
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , Issue.5 , pp. 309-318
    • Combescure, A.1    Gravouil, A.2    Gregoire, D.3    Rethore, J.4
  • 15
    • 0035955564 scopus 로고    scopus 로고
    • An extended finite element method for modeling crack growth with frictional contact
    • DOI 10.1016/S0045-7825(01)00260-2, PII S0045782501002602
    • J Dolbow N Moës T Belytschko 2001 An extended finite element method for modeling crack growth with frictional contact Comput Meth Appl Mech Eng 190 6825 6846 1033.74042 10.1016/S0045-7825(01)00260-2 (Pubitemid 33079936)
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , Issue.51-52 , pp. 6825-6846
    • Dolbow, J.1    Moes, N.2    Belytschko, T.3
  • 16
    • 0000045449 scopus 로고
    • Explicit expressions of Barnett- Lothe tensors and their associated tensors for orthotropic materials
    • 0683.73007 1031687
    • C Dongye TCT Ting 1989 Explicit expressions of Barnett- Lothe tensors and their associated tensors for orthotropic materials Q Appl Math 47 723 734 0683.73007 1031687
    • (1989) Q Appl Math , vol.47 , pp. 723-734
    • Dongye, C.1    Ting, T.C.T.2
  • 17
    • 0017246038 scopus 로고
    • Stress intensity factors in anisotropic plates using singular isoparametric elements
    • 10.1002/nme.1620100607
    • RO Forschi JD Barret 1976 Stress intensity factors in anisotropic plates using singular isoparametric elements Int J Numer Methods Eng 10 1281 1287 10.1002/nme.1620100607
    • (1976) Int J Numer Methods Eng , vol.10 , pp. 1281-1287
    • Forschi, R.O.1    Barret, J.D.2
  • 18
    • 0031994219 scopus 로고    scopus 로고
    • Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds
    • 10.1016/S0022-5096(97)00047-1 1998JMPSo.46.187G
    • H Gao P Klein 1998 Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds J Mech Phys Solids 42 6 187 218 10.1016/S0022-5096(97)00047-1 1998JMPSo..46..187G
    • (1998) J Mech Phys Solids , vol.42 , Issue.6 , pp. 187-218
    • Gao, H.1    Klein, P.2
  • 19
    • 34547785003 scopus 로고    scopus 로고
    • Dynamic crack propagation under mixed-mode loading - Comparison between experiments and X-FEM simulations
    • DOI 10.1016/j.ijsolstr.2007.02.044, PII S0020768307001126
    • D Gregoire H Maigre J Rethore A Combescure 2007 Dynamic crack propagation under mixed-mode loading-comparison between experiments and X-FEM simulations Int J Solids Struct 44 6517 6534 1166.74301 10.1016/j.ijsolstr.2007.02.044 1:CAS:528:DC%2BD2sXht1ClsbfO (Pubitemid 47238824)
    • (2007) International Journal of Solids and Structures , vol.44 , Issue.20 , pp. 6517-6534
    • Gregoire, D.1    Maigre, H.2    Rethore, J.3    Combescure, A.4
  • 22
    • 0038007848 scopus 로고    scopus 로고
    • The interaction integral for fracture of orthotropic functionally graded materials: Evaluation of stress intensity factors
    • DOI 10.1016/S0020-7683(03)00176-8
    • JH Kim GH Paulino 2003 The interaction integral for fracture of orthotropic functionally graded materials: evaluation of stress intensity factors Int J Solids Struct 40 3967 4001 1038.74608 10.1016/S0020-7683(03)00176- 8 (Pubitemid 36738691)
    • (2003) International Journal of Solids and Structures , vol.40 , Issue.15 , pp. 3967-4001
    • Kim, J.-H.1    Paulino, G.H.2
  • 24
    • 0027795335 scopus 로고
    • Mixed-mode quantification for dynamic fracture initiation: Application to the compact compression specimen
    • 10.1016/0020-7683(93)90111-J
    • H Maigre D Rittel 1993 Mixed-mode quantification for dynamic fracture initiation: application to the compact compression specimen Int J Solids Struct 30 23 3233 3244 10.1016/0020-7683(93)90111-J
    • (1993) Int J Solids Struct , vol.30 , Issue.23 , pp. 3233-3244
    • Maigre, H.1    Rittel, D.2
  • 25
    • 0030380578 scopus 로고    scopus 로고
    • The partition of unity finite element method: Basic theory and applications
    • 0881.65099 10.1016/S0045-7825(96)01087-0
    • JM Melenk I Babuška 1996 The partition of unity finite element method: basic theory and applications Comput Meth Appl Mech Eng 139 289 314 0881.65099 10.1016/S0045-7825(96)01087-0
    • (1996) Comput Meth Appl Mech Eng , vol.139 , pp. 289-314
    • Melenk, J.M.1    Babuška, I.2
  • 28
    • 0033349534 scopus 로고    scopus 로고
    • A finite element method for crack growth without remeshing
    • 0955.74066 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3. 0.CO;2-J
    • N Moës J Dolbow T Belytschko 1999 A finite element method for crack growth without remeshing Int J Numer Meth Eng 46 131 150 0955.74066 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
    • (1999) Int J Numer Meth Eng , vol.46 , pp. 131-150
    • Moës, N.1    Dolbow, J.2    Belytschko, T.3
  • 30
    • 0021619701 scopus 로고
    • k.
    • DOI 10.1016/0013-7944(84)90128-0
    • T Nishioka SN Alturi 1984 On the computation of mixed-mode k-factors for a dynamically propagating crack, using path-independent integrals J Eng Fract Mech 20 193 208 10.1016/0013-7944(84)90128-0 (Pubitemid 15426197)
    • (1984) Engineering Fracture Mechanics , vol.20 , Issue.2 , pp. 193-208
    • Nishioka, T.1    Atluri, S.N.2
  • 31
    • 0035827383 scopus 로고    scopus 로고
    • Dynamic fracture-path prediction in impact fracture phenomena using moving finite element method based on Delaunay automatic mesh generation
    • DOI 10.1016/S0020-7683(00)00345-0, PII S0020768300003450
    • T Nishioka H Tokudome M Kinoshita 2001 Dynamic fracture-path prediction in impact fracture phenomena using moving finite element method based on Delaunay automatic mesh generation Int J Solids Struct 38 5273 5301 0997.74066 10.1016/S0020-7683(00)00345-0 (Pubitemid 32569004)
    • (2001) International Journal of Solids and Structures , vol.38 , Issue.30-31 , pp. 5273-5301
    • Nishioka, T.1    Tokudome, H.2    Kinoshita, M.3
  • 32
    • 40649097044 scopus 로고    scopus 로고
    • Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis
    • 10.1016/j.advengsoft.2007.06.003
    • I Nistor O Pantale S Caperaa 2008 Numerical implementation of the eXtended Finite Element Method for dynamic crack analysis Int J Adv Eng Softw 39 573 587 10.1016/j.advengsoft.2007.06.003
    • (2008) Int J Adv Eng Softw , vol.39 , pp. 573-587
    • Nistor, I.1    Pantale, O.2    Caperaa, S.3
  • 33
    • 0345566471 scopus 로고    scopus 로고
    • On the strong discontinuity approach in finite deformation settings
    • 1031.74010 10.1002/nme.607 1957215
    • J Oliver AE Huespe MDG Pulido E Samaniego 2003 On the strong discontinuity approach in finite deformation settings Int J Numer Methods Eng 56 1051 1082 1031.74010 10.1002/nme.607 1957215
    • (2003) Int J Numer Methods Eng , vol.56 , pp. 1051-1082
    • Oliver, J.1    Huespe, A.E.2    Pulido, M.D.G.3    Samaniego, E.4
  • 34
    • 0036495017 scopus 로고    scopus 로고
    • Localisation issues in local and nonlocal continuum approaches to fracture
    • DOI 10.1016/S0997-7538(02)01211-1, PII S0997753802012111
    • RHJ Peerlings R de Borst WAM Brekelmans MGD Geers 2002 Localisation issues in local and nonlocal continuum approaches to fracture Eur J Mech A: Solids 21 175 189 1041.74006 10.1016/S0997-7538(02)01211-1 1903091 (Pubitemid 34239156)
    • (2002) European Journal of Mechanics, A/Solids , vol.21 , Issue.2 , pp. 175-189
    • Peerlings, R.H.J.1    De Borst, R.2    Brekelmans, W.A.M.3    Geers, M.G.D.4
  • 36
    • 0034255073 scopus 로고    scopus 로고
    • Extended finite element method for three-dimensional crack modelling
    • DOI 10.1002/1097-0207(20000820)48:11<1549::AID-NME955>3.0.CO;2-A
    • N Sukumar N Moës B Moran T Belytschko 2000 Extended finite element method for three-dimensional crack modeling Int J Numer Meth Eng 48 1549 1570 0963.74067 10.1002/1097-0207(20000820)48:11<1549::AID-NME955>3.0.CO;2-A (Pubitemid 30617347)
    • (2000) International Journal for Numerical Methods in Engineering , vol.48 , Issue.11 , pp. 1549-1570
    • Sukumar, N.1    Moes, N.2    Moran, B.3    Belytschko, T.4
  • 38
    • 0034317766 scopus 로고    scopus 로고
    • Dynamic crack growth in anisotropic material
    • DOI 10.1023/A:1007621500585
    • KC Wu 2000 Dynamic crack growth in anisotropic material Int J Fract 106 1 12 10.1023/A:1007621500585 (Pubitemid 32074472)
    • (2000) International Journal of Fracture , vol.106 , Issue.1 , pp. 1-12
    • Wu, K.-C.1
  • 39
    • 0028497372 scopus 로고
    • Numerical simulation of fast crack growth in brittle solids
    • 0825.73579 10.1016/0022-5096(94)90003-5 1994JMPSo.42.1397X
    • XP Xu A Needleman 1994 Numerical simulation of fast crack growth in brittle solids Int J Mech Phys Solids 42 1397 1434 0825.73579 10.1016/0022-5096(94)90003-5 1994JMPSo..42.1397X
    • (1994) Int J Mech Phys Solids , vol.42 , pp. 1397-1434
    • Xu, X.P.1    Needleman, A.2
  • 40
    • 17044428035 scopus 로고    scopus 로고
    • The extended finite element method for dynamic fractures
    • G Zi H Chen J Xu T Belytschko 2005 The extended finite element method for dynamic fractures Shock Vib 12 9 23
    • (2005) Shock Vib , vol.12 , pp. 9-23
    • Zi, G.1    Chen, H.2    Xu, J.3    Belytschko, T.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.