메뉴 건너뛰기




Volumn 179, Issue 1-2, 2013, Pages 45-57

Modeling mixed-mode fracture propagation in isotropic elastic three dimensional solid

Author keywords

BEM; Echelon shape; Eshelby's solution; Mixed mode propagation; Rock fracture

Indexed keywords

BEM; ECHELON SHAPE; ESHELBY; MIXED MODE; ROCK FRACTURES;

EID: 84871302683     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-012-9771-6     Document Type: Article
Times cited : (21)

References (31)
  • 1
    • 0016572183 scopus 로고
    • The angular dislocation in a half space
    • 10.1007/BF00126985 10.1007/BF00126985
    • Comninou M, Dundurs J (1975) The angular dislocation in a half space. J Elast 5: 203-216. doi: 10.1007/BF00126985
    • (1975) J Elast , vol.5 , pp. 203-216
    • Comninou, M.1    Dundurs, J.2
  • 2
    • 0029728904 scopus 로고    scopus 로고
    • Fracture propagation paths under mixed mode loading within rectangular blocks of polymethyl methacrylate
    • 10.1029/95JB02507 1:CAS:528:DyaK28XhvVSls7s%3D
    • Cooke ML, Pollard DD (1996) Fracture propagation paths under mixed mode loading within rectangular blocks of polymethyl methacrylate. J Geophys Res 101(B2): 3387-3400
    • (1996) J Geophys Res , vol.101 , Issue.B2 , pp. 3387-3400
    • Cooke, M.L.1    Pollard, D.D.2
  • 3
    • 33745451119 scopus 로고
    • Slightly curved or kinked cracks
    • 10.1007/BF00012619
    • Cottrell B, Rice J (1980) Slightly curved or kinked cracks. Int J Fract Mech 16: 155
    • (1980) Int J Fract Mech , vol.16 , pp. 155
    • Cottrell, B.1    Rice, J.2
  • 4
    • 0003613351 scopus 로고
    • Boundary element methods in solid mechanics: With applications in rock mechanics and geological engineering
    • Crouch SL, Starfield A (1983) Boundary element methods in solid mechanics: with applications in rock mechanics and geological engineering. Allen and Unwin, London
    • (1983) Allen and Unwin, London
    • Crouch, S.L.1    Starfield, A.2
  • 5
    • 85007836717 scopus 로고
    • On the crack extension in plates under plane loading and transverse shear
    • 10.1115/1.3656897
    • Erdogan VF, Sih GC (1963) On the crack extension in plates under plane loading and transverse shear. Trans ASME J Bas Eng 85D: 519
    • (1963) Trans ASME J Bas Eng , vol.85 , pp. 519
    • Erdogan, V.F.1    Sih, G.C.2
  • 6
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion, and related problems
    • 10.1098/rspa.1957.0133 10.1098/rspa.1957.0133
    • Eshelby JD (1957) The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lond Ser A Math Phys Sci 241(1226): 376-396. doi: 10.1098/rspa.1957.0133
    • (1957) Proc R Soc Lond ser A Math Phys Sci , vol.241 , Issue.1226 , pp. 376-396
    • Eshelby, J.D.1
  • 7
    • 0001085508 scopus 로고
    • The elastic field outside an ellipsoidal inclusion
    • 10.1098/rspa.1959.0173 10.1098/rspa.1959.0173
    • Eshelby JD (1959) The elastic field outside an ellipsoidal inclusion. Proc R Soc Lond Series A Math Phys Sci 252(1271): 561-569. doi: 10.1098/rspa.1959.0173
    • (1959) Proc R Soc Lond Series A Math Phys Sci , vol.252 , Issue.1271 , pp. 561-569
    • Eshelby, J.D.1
  • 8
    • 0001857341 scopus 로고
    • Elastic inclusion and inhomogeneities
    • Eshelby JD (1961) Elastic inclusion and inhomogeneities. Prog Solid Mech 2: 89-140
    • (1961) Prog Solid Mech , vol.2 , pp. 89-140
    • Eshelby, J.D.1
  • 9
    • 0036163094 scopus 로고    scopus 로고
    • Experimental and computational investigation of three-dimensional mixed-mode fatigue
    • 10.1046/j.1460-2695.2002.00413.x 10.1046/j.1460-2695.2002.00413.x
    • Forth SC, Keat WD, Favrow LH (2002) Experimental and computational investigation of three-dimensional mixed-mode fatigue. Fatigue Fract Eng Mater Struct 25(1): 3-15. doi: 10.1046/j.1460-2695.2002.00413.x
    • (2002) Fatigue Fract Eng Mater Struct , vol.25 , Issue.1 , pp. 3-15
    • Forth, S.C.1    Keat, W.D.2    Favrow, L.H.3
  • 10
    • 0036704393 scopus 로고    scopus 로고
    • Fracture propagation in 3d by the symmetric Galerkin boundary element method
    • 10.1023A1020770506931 10.1023/A:1020770506931
    • Frangi A (2002) Fracture propagation in 3d by the symmetric Galerkin boundary element method. Int J Fract 116: 313-330. doi: 10.1023A1020770506931
    • (2002) Int J Fract , vol.116 , pp. 313-330
    • Frangi, A.1
  • 12
    • 0027089410 scopus 로고
    • Modeling slip zones with triangular dislocation elements
    • Jeyakumaran M, Rudnicki JW, Keer LM (1992) Modeling slip zones with triangular dislocation elements. Bull Seismol Soc Am 82(5): 2153-2169
    • (1992) Bull Seismol Soc Am , vol.82 , Issue.5 , pp. 2153-2169
    • Jeyakumaran, M.1    Rudnicki, J.W.2    Keer, L.M.3
  • 14
    • 59749105676 scopus 로고    scopus 로고
    • Comparison of predictions by mode ii or mode iii criteria on crack front twisting in three or four point bending experiments
    • doi: 10.1007/s10704-008-9307-2
    • Lazarus V, Buchholz FG, Fulland M, Wiebesiek J (2008) Comparison of predictions by mode ii or mode iii criteria on crack front twisting in three or four point bending experiments. Int J Fract 153:141-151. doi: 10.1007/s10704-008-9307-2
    • (2008) Int J Fract , vol.153 , pp. 141-151
    • Lazarus, V.1    Buchholz, F.G.2    Fulland, M.3    Wiebesiek, J.4
  • 15
    • 77956393975 scopus 로고    scopus 로고
    • Criterion for initiation of cracks under mixed-mode i + iii loading
    • doi: 10.1007/s10704-010-9476-7
    • Lin B, Mear M, Ravi-Chandar K (2010) Criterion for initiation of cracks under mixed-mode i + iii loading. Int J Fract 165:175-188. doi: 10.1007/s10704-010-9476-7
    • (2010) Int J Fract , vol.165 , pp. 175-188
    • Lin, B.1    Mear, M.2    Ravi-Chandar, K.3
  • 16
    • 77955924843 scopus 로고    scopus 로고
    • Solving 3d boundary element problems using constrained iterative approach
    • 10.1007/s10596-009-9170-x 10.1007/s10596-009-9170-x
    • Maerten F, Maerten L, Cooke M (2010) Solving 3d boundary element problems using constrained iterative approach. Comput Geosci 14: 551-564. doi: 10.1007/s10596-009-9170-x
    • (2010) Comput Geosci , vol.14 , pp. 551-564
    • Maerten, F.1    Maerten, L.2    Cooke, M.3
  • 17
    • 84856618939 scopus 로고    scopus 로고
    • Evaluation of the Eshelby solution for the ellipsoidal inclusion and heterogeneity
    • 10.1016/j.cageo.2011.07.008
    • Meng C, Heltsley W, Pollard DD (2012) Evaluation of the Eshelby solution for the ellipsoidal inclusion and heterogeneity. Comput Geosci 40(0): 40-48. doi: 10.1016/j.cageo.2011.07.008
    • (2012) Comput Geosci , vol.40 , Issue.0 , pp. 40-48
    • Meng, C.1    Heltsley, W.2    Pollard, D.D.3
  • 18
    • 0028459297 scopus 로고
    • Discontinuous crack-tip elements: Application to 3d boundary element method
    • 10.1007/BF00016267 10.1007/BF00016267
    • Mi Y, Aliabadi MH (1994) Discontinuous crack-tip elements: application to 3d boundary element method. Int J Fract 67: R67-R71. doi: 10.1007/BF00016267
    • (1994) Int J Fract , vol.67
    • Mi, Y.1    Aliabadi, M.H.2
  • 21
    • 50649103469 scopus 로고    scopus 로고
    • On the patterns of wing cracks along an outcrop scale flaw: A numerical modeling approach using complementarity
    • 10.1029/2007JB005284
    • Mutlu O, Pollard DD (2008) On the patterns of wing cracks along an outcrop scale flaw: a numerical modeling approach using complementarity. J Geophys Res 113(B6): B06403
    • (2008) J Geophys Res , vol.113 , Issue.B6 , pp. 06403
    • Mutlu, O.1    Pollard, D.D.2
  • 22
    • 0025921328 scopus 로고
    • The initiation and growth of en chelon veins
    • 10.1016/0191-8141(91)90046-L 10.1016/0191-8141(91)90046-L
    • Olson JE, Pollard DD (1991) The initiation and growth of en chelon veins. J Struct Geol 13(5): 595-608. doi: 10.1016/0191-8141(91)90046-L
    • (1991) J Struct Geol , vol.13 , Issue.5 , pp. 595-608
    • Olson, J.E.1    Pollard, D.D.2
  • 23
    • 0034186949 scopus 로고    scopus 로고
    • Boundary element analysis of three-dimensional cracks in anisotropic solids
    • 10.1002/(SICI)1097-0207(20000520)48:2<211: AID-NME875>3.0.CO;2-A 10.1002/(SICI)1097-0207(20000520)48:2<211: AID-NME875>3.0.CO;2-A
    • Pan E, Yuan FG (2000) Boundary element analysis of three-dimensional cracks in anisotropic solids. Int J Numer Methods Eng 48(2): 211-237. doi: 10.1002/(SICI)1097-0207(20000520)48:2<211::AID-NME875>3.0.CO;2-A
    • (2000) Int J Numer Methods Eng , vol.48 , Issue.2 , pp. 211-237
    • Pan, E.1    Yuan, F.G.2
  • 24
    • 0020354546 scopus 로고
    • Formation and interpretation of dilatant echelon cracks
    • doi: 10.1130/0016-7606(1982)93<1291:FAIODE>2.0.CO;2
    • Pollard DD, Segall P, Delaney PT (1982) Formation and interpretation of dilatant echelon cracks. Bull geol Soc Am 93(12):1291-1303. doi: 10.1130/0016-7606(1982)93<1291:FAIODE>2.0.CO;2
    • (1982) Bull Geol Soc Am , vol.93 , Issue.12 , pp. 1291-1303
    • Pollard, D.D.1    Segall, P.2    Delaney, P.T.3
  • 25
    • 77950816490 scopus 로고    scopus 로고
    • Helical crack-front instability in mixed-mode fracture
    • 10.1038/nature08862 1:CAS:528:DC%2BC3cXislaiurw%3D
    • Pons AJ, Karma A (2010) Helical crack-front instability in mixed-mode fracture. Nature 464(7285): 85-89
    • (2010) Nature , vol.464 , Issue.7285 , pp. 85-89
    • Pons, A.J.1    Karma, A.2
  • 26
    • 0000013148 scopus 로고
    • Formation of fracture lances in glass
    • 10.1016/0013-7944(69)90010-1 10.1016/0013-7944(69)90010-1
    • Sommer E (1969) Formation of fracture lances in glass. Eng Fract Mech 1(3): 539-546. doi: 10.1016/0013-7944(69)90010-1
    • (1969) Eng Fract Mech , vol.1 , Issue.3 , pp. 539-546
    • Sommer, E.1
  • 27
    • 42449161078 scopus 로고    scopus 로고
    • A comparative study on finite element methods for dynamic fracture
    • 10.1007/s00466-007-0210-x 10.1007/s00466-007-0210-x
    • Song JH, Wang H, Belytschko T (2008) A comparative study on finite element methods for dynamic fracture. Comput Mech 42: 239-250. doi: 10.1007/s00466-007-0210-x
    • (2008) Comput Mech , vol.42 , pp. 239-250
    • Song, J.H.1    Wang, H.2    Belytschko, T.3
  • 29
    • 0027334504 scopus 로고
    • The geometry of echelon fractures in rock: Implications from laboratory and numerical experiments
    • 10.1016/0191-8141(93)90129-X 10.1016/0191-8141(93)90129-X
    • Thomas AL, Pollard DD (1993) The geometry of echelon fractures in rock: implications from laboratory and numerical experiments. J Struct Geol 15(35): 323-334. doi: 10.1016/0191-8141(93)90129-X
    • (1993) J Struct Geol , vol.15 , Issue.35 , pp. 323-334
    • Thomas, A.L.1    Pollard, D.D.2
  • 30
    • 43749100418 scopus 로고    scopus 로고
    • Modeling wing crack extension: Implications for the ingredients of discrete element model
    • 10.1007/s00024-008-0315-y 10.1007/s00024-008-0315-y
    • Wang Y, Mora P (2008) Modeling wing crack extension: implications for the ingredients of discrete element model. Pure Appl Geophys 165: 609-620. doi: 10.1007/s00024-008-0315-y
    • (2008) Pure Appl Geophys , vol.165 , pp. 609-620
    • Wang, Y.1    Mora, P.2
  • 31
    • 0031848897 scopus 로고    scopus 로고
    • On the orientation and patterns of wing cracks and solution surfaces at the tips of a sliding flaw or fault
    • 10.1029/97JB01587
    • Willemse EJM, Pollard DD (1998) On the orientation and patterns of wing cracks and solution surfaces at the tips of a sliding flaw or fault. J Geophys Res 103(B2): 2427-2438
    • (1998) J Geophys Res , vol.103 , Issue.B2 , pp. 2427-2438
    • Willemse, E.J.M.1    Pollard, D.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.