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Volumn 72, Issue 12 SPEC. ISS., 2005, Pages 1841-1865

Numerical analysis of interaction and coalescence of numerous microcracks

Author keywords

Brittle material; Coalescence; Crack interaction; Effective elastic moduli; Failure process; Strength; Stress intensity factor

Indexed keywords

BRITTLENESS; COALESCENCE; COMPUTER SIMULATION; DEFORMATION; ELASTIC MODULI; FAILURE (MECHANICAL); NUMERICAL ANALYSIS; RANDOM PROCESSES; TENSILE STRENGTH;

EID: 18144396891     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2004.08.009     Document Type: Article
Times cited : (28)

References (42)
  • 1
    • 0004281856 scopus 로고    scopus 로고
    • Damage mechanics
    • Amsterdam: Elsevier
    • D. Krajcinovic Damage mechanics 1996 Elsevier Amsterdam
    • (1996)
    • Krajcinovic, D.1
  • 2
    • 49549088687 scopus 로고
    • Elastic solids with many cracks and related problems
    • M. Kachanov Elastic solids with many cracks and related problems Adv Appl Mech 30 1993 259-445
    • (1993) Adv. Appl. Mech. , vol.30 , pp. 259-445
    • Kachanov, M.1
  • 4
    • 0020499204 scopus 로고
    • Overall moduli of solids with microcracks: Load-induced anisotropy
    • H. Horii S. Nemat-Nasser Overall moduli of solids with microcracks: load-induced anisotropy J Mech Phys Solids 31 2 1983 155-171
    • (1983) J. Mech. Phys. Solids , vol.31 , Issue.2 , pp. 155-171
    • Horii, H.1    Nemat-Nasser, S.2
  • 5
    • 0018506068 scopus 로고
    • Solutions for effective shear properties in three phase sphere and cylinder models
    • R.M. Christensen K.H. Lo Solutions for effective shear properties in three phase sphere and cylinder models J Mech Phys Solids 27 4 1979 315-330
    • (1979) J. Mech. Phys. Solids , vol.27 , Issue.4 , pp. 315-330
    • Christensen, R.M.1    Lo, K.H.2
  • 6
    • 0028485992 scopus 로고
    • A generalized self-consistent mechanics method for microcracked solids
    • Y. Huang K.X. Hu A. Chandra A generalized self-consistent mechanics method for microcracked solids J Mech Phys Solids 42 8 1994 1273-1291
    • (1994) J. Mech. Phys. Solids , vol.42 , Issue.8 , pp. 1273-1291
    • Huang, Y.1    Hu, K.X.2    Chandra, A.3
  • 7
    • 0022203936 scopus 로고
    • The effect of microcracks on the elastic moduli of brittle materials
    • R.W. Zimmerman The effect of microcracks on the elastic moduli of brittle materials J Mater Sci Lett 4 1985 1457-1460
    • (1985) J. Mater. Sci. Lett. , vol.4 , pp. 1457-1460
    • Zimmerman, R.W.1
  • 8
    • 0001623598 scopus 로고
    • The differential scheme and its application to cracked materials
    • Z. Hashin The differential scheme and its application to cracked materials J Mech Phys Solids 36 1988 719-734
    • (1988) J. Mech. Phys. Solids , vol.36 , pp. 719-734
    • Hashin, Z.1
  • 9
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • T. Mori K. Tanaka Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall 21 1973 571-574
    • (1973) Acta Metall. , vol.21 , pp. 571-574
    • Mori, T.1    Tanaka, K.2
  • 10
    • 0000462898 scopus 로고
    • On the Mori-Tanaka's method in cracked bodies
    • Y. Benveniste On the Mori-Tanaka's method in cracked bodies Mech Res Commun 13 2 1986 193-201
    • (1986) Mech. Res. Commun. , vol.13 , Issue.2 , pp. 193-201
    • Benveniste, Y.1
  • 11
    • 0035500955 scopus 로고    scopus 로고
    • An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution
    • Q.S. Zheng D.X. Du An explicit and universally applicable estimate for the effective properties of multiphase composites which accounts for inclusion distribution J Mech Phys Solids 49 11 2001 2765-2788
    • (2001) J. Mech. Phys. Solids , vol.49 , Issue.11 , pp. 2765-2788
    • Zheng, Q.S.1    Du, D.X.2
  • 12
    • 0007182584 scopus 로고    scopus 로고
    • Damage micromechanics of quasi-brittle materials
    • (in Chinese) Beijing: Higher Education Press
    • X.Q. Feng S.W. Yu Damage micromechanics of quasi-brittle materials (in Chinese) 2002 Higher Education Press Beijing
    • (2002)
    • Feng, X.Q.1    Yu, S.W.2
  • 13
    • 0030296042 scopus 로고    scopus 로고
    • Experiments on effective elastic modulus of two-dimensional solids with cracks and holes
    • F.C.S. Carvalho J.F. Labuz Experiments on effective elastic modulus of two-dimensional solids with cracks and holes Int J Solids Struct 33 28 1996 4119-4130
    • (1996) Int. J. Solids Struct. , vol.33 , Issue.28 , pp. 4119-4130
    • Carvalho, F.C.S.1    Labuz, J.F.2
  • 14
    • 0037245792 scopus 로고    scopus 로고
    • A simple method for calculating interaction of numerous microcracks and applications
    • X.Q. Feng J.Y. Li S.W. Yu A simple method for calculating interaction of numerous microcracks and applications Int J Solids Struct 40 2003 447-464
    • (2003) Int. J. Solids Struct. , vol.40 , pp. 447-464
    • Feng, X.Q.1    Li, J.Y.2    Yu, S.W.3
  • 15
    • 4644224731 scopus 로고    scopus 로고
    • A numerical simulation for effective elastic moduli of plates with various distributions and sizes of cracks
    • L.X. Shen J. Li A numerical simulation for effective elastic moduli of plates with various distributions and sizes of cracks Int J Solids Struct 41 26 2004 7471-7492
    • (2004) Int. J. Solids Struct. , vol.41 , Issue.26 , pp. 7471-7492
    • Shen, L.X.1    Li, J.2
  • 16
    • 0020008636 scopus 로고
    • Stress intensity factors of system of cracks
    • D. Gross Stress intensity factors of system of cracks Ing-Arch 51 1982 301-310
    • (1982) Ing-Arch. , vol.51 , pp. 301-310
    • Gross, D.1
  • 17
    • 0023566562 scopus 로고
    • Interacting microcracks near the tip in the process zone of a macro-crack
    • M. Hori S. Nemat-Nasser Interacting microcracks near the tip in the process zone of a macro-crack J Mech Phys Solids 35 1987 601-629
    • (1987) J. Mech. Phys. Solids , vol.35 , pp. 601-629
    • Hori, M.1    Nemat-Nasser, S.2
  • 18
    • 0023164009 scopus 로고
    • Elastic solids with many cracks: A simple method of analysis
    • M. Kachanov Elastic solids with many cracks: A simple method of analysis Int J Solids Struct 23 1 1987 23-43
    • (1987) Int. J. Solids Struct. , vol.23 , Issue.1 , pp. 23-43
    • Kachanov, M.1
  • 19
    • 0024862170 scopus 로고
    • General solutions to the problems of microcracks near the tip of a main crack
    • S.X. Gong H. Horii General solutions to the problems of microcracks near the tip of a main crack J Mech Phys Solids 37 1 1989 27-46
    • (1989) J. Mech. Phys. Solids , vol.37 , Issue.1 , pp. 27-46
    • Gong, S.X.1    Horii, H.2
  • 20
    • 0023164010 scopus 로고
    • Elastic interaction of a crack with a microcrack array, Part I and II
    • A. Chudnovsky A. Dolgopolsky M. Kachanov Elastic interaction of a crack with a microcrack array, Part I and II Int J Solids Struct 23 1 1987 1-21
    • (1987) Int. J. Solids Struct. , vol.23 , Issue.1 , pp. 1-21
    • Chudnovsky, A.1    Dolgopolsky, A.2    Kachanov, M.3
  • 21
    • 0029309474 scopus 로고
    • A survey of new integral equations in plane elasticity crack problems
    • Y.Z. Chen A survey of new integral equations in plane elasticity crack problems Engng Fract Mech 51 1 1995 97-134
    • (1995) Engng. Fract. Mech. , vol.51 , Issue.1 , pp. 97-134
    • Chen, Y.Z.1
  • 22
    • 0000788525 scopus 로고    scopus 로고
    • A survey of macro-microcrack interaction problems
    • V. Petrova V. Tamuzs N. Romalis A survey of macro-microcrack interaction problems Appl Mech Rev 53 5 2000 117-146
    • (2000) Appl. Mech. Rev. , vol.53 , Issue.5 , pp. 117-146
    • Petrova, V.1    Tamuzs, V.2    Romalis, N.3
  • 23
    • 0141992645 scopus 로고    scopus 로고
    • On the problems of crack interactions and crack coalescence
    • M. Kachanov On the problems of crack interactions and crack coalescence Int J Fract 120 3 2003 537-543
    • (2003) Int. J. Fract. , vol.120 , Issue.3 , pp. 537-543
    • Kachanov, M.1
  • 24
    • 0022610410 scopus 로고
    • Nonequilibrium statistical theory of brittle fracture
    • X.S. Xing Nonequilibrium statistical theory of brittle fracture Engng Fract Mech 24 1986 45-64
    • (1986) Engng. Fract. Mech. , vol.24 , pp. 45-64
    • Xing, X.S.1
  • 26
    • 0014494589 scopus 로고
    • A statistical model for the linking of microcracks
    • U. Lindborg A statistical model for the linking of microcracks Acta Metall 17 1969 521-526
    • (1969) Acta Metall. , vol.17 , pp. 521-526
    • Lindborg, U.1
  • 27
    • 2342461172 scopus 로고
    • Predicting the merging of disperse defects
    • S.R. Ignatovich Predicting the merging of disperse defects Strength Mater 24 1992 202-211
    • (1992) Strength Mater. , vol.24 , pp. 202-211
    • Ignatovich, S.R.1
  • 28
    • 0032273503 scopus 로고    scopus 로고
    • A stochastic theory for the problem of multiple surface crack coalescence
    • B. Fedelich A stochastic theory for the problem of multiple surface crack coalescence Int J Fract 91 1998 23-45
    • (1998) Int. J. Fract. , vol.91 , pp. 23-45
    • Fedelich, B.1
  • 29
    • 0020809281 scopus 로고
    • Why do cracks avoid each other?
    • S. Melin Why do cracks avoid each other? Int J Fract 23 1983 37-45
    • (1983) Int. J. Fract. , vol.23 , pp. 37-45
    • Melin, S.1
  • 30
    • 0030678935 scopus 로고    scopus 로고
    • The damage process in a finite-sized brittle specimen with interacting microcracks
    • A. Carpinteri G.P. Yang The damage process in a finite-sized brittle specimen with interacting microcracks Fatigue Fract Engng Mater Struct 20 8 1997 1105-1115
    • (1997) Fatigue Fract. Engng. Mater. Struct. , vol.20 , Issue.8 , pp. 1105-1115
    • Carpinteri, A.1    Yang, G.P.2
  • 31
    • 0031594033 scopus 로고    scopus 로고
    • Crack coalescence in a rock-like material containing two cracks
    • R.H.C. Wong K.T. Chau Crack coalescence in a rock-like material containing two cracks Int J Rock Min Sci 35 2 1998 147-164
    • (1998) Int. J. Rock. Min. Sci. , vol.35 , Issue.2 , pp. 147-164
    • Wong, R.H.C.1    Chau, K.T.2
  • 32
    • 0035492226 scopus 로고    scopus 로고
    • Analysis of crack coalescence in rock-like materials containing three flaws - Part I: Experimental approach
    • R.H.C. Wong K.T. Chau C.A. Tang P. Lin Analysis of crack coalescence in rock-like materials containing three flaws - Part I: Experimental approach Int J Rock Min Sci 38 2001 909-924
    • (2001) Int. J. Rock Min. Sci. , vol.38 , pp. 909-924
    • Wong, R.H.C.1    Chau, K.T.2    Tang, C.A.3    Lin, P.4
  • 33
    • 0035492369 scopus 로고    scopus 로고
    • Analysis of crack coalescence in rock-like materials containing three flaws - Part II: Numerical approach
    • C.A. Tang P. Lin R.H.C. Wong K.T. Chau Analysis of crack coalescence in rock-like materials containing three flaws - Part II: Numerical approach Int J Rock Min Sci 38 2001 925-939
    • (2001) Int. J. Rock Min. Sci. , vol.38 , pp. 925-939
    • Tang, C.A.1    Lin, P.2    Wong, R.H.C.3    Chau, K.T.4
  • 34
    • 0042763127 scopus 로고    scopus 로고
    • Statistical strength of brittle materials with strongly interacted collinear microcracks
    • S.L. Zhang T. Li W. Yang Statistical strength of brittle materials with strongly interacted collinear microcracks Int J Solids Struct 35 11 1998 995-1008
    • (1998) Int. J. Solids Struct. , vol.35 , Issue.11 , pp. 995-1008
    • Zhang, S.L.1    Li, T.2    Yang, W.3
  • 35
    • 0036567084 scopus 로고    scopus 로고
    • Critical linkages of coalescing microcracks under stress loading
    • T. Li W. Yang Critical linkages of coalescing microcracks under stress loading Fatigue Fract Engng Mater Struct 25 5 2002 499-508
    • (2002) Fatigue Fract. Engng. Mater. Struct. , vol.25 , Issue.5 , pp. 499-508
    • Li, T.1    Yang, W.2
  • 36
    • 0032180548 scopus 로고    scopus 로고
    • A finite deformation continuum discrete model for the description of fragmentation and damage in brittle materials
    • H.D. Espinosa P.D. Zavattieri S.K. Dwivedi A finite deformation continuum discrete model for the description of fragmentation and damage in brittle materials J Mech Phys Solids 46 10 1998 1909-1942
    • (1998) J. Mech. Phys. Solids , vol.46 , Issue.10 , pp. 1909-1942
    • Espinosa, H.D.1    Zavattieri, P.D.2    Dwivedi, S.K.3
  • 37
    • 0035802969 scopus 로고    scopus 로고
    • Grain level analysis of crack initiation and propagation in brittle materials
    • P.D. Zattieri H.D. Espinosa Grain level analysis of crack initiation and propagation in brittle materials Acta Mater 49 20 2001 4291-4311
    • (2001) Acta Mater. , vol.49 , Issue.20 , pp. 4291-4311
    • Zattieri, P.D.1    Espinosa, H.D.2
  • 38
    • 0003875154 scopus 로고
    • Micromechanics of defects in solids
    • The Netherlands: Martinus Nijhoff Publishers
    • T. Mura Micromechanics of defects in solids 1987 Martinus Nijhoff Publishers The Netherlands
    • (1987)
    • Mura, T.1
  • 39
    • 0034322622 scopus 로고    scopus 로고
    • Estimate of effective elastic moduli with microcrack interaction effects
    • X.Q. Feng S.W. Yu Estimate of effective elastic moduli with microcrack interaction effects Theor Appl Fract Mech 34 3 2000 225-233
    • (2000) Theor. Appl. Fract. Mech. , vol.34 , Issue.3 , pp. 225-233
    • Feng, X.Q.1    Yu, S.W.2
  • 40
    • 0002388575 scopus 로고
    • Microcracks and the static and dynamic elastic constants of anneals and heavily cold-worked metals
    • J.R. Bristow Microcracks and the static and dynamic elastic constants of anneals and heavily cold-worked metals Br J Appl Phys 11 1 1960 81-85
    • (1960) Br. J. Appl. Phys. , vol.11 , Issue.1 , pp. 81-85
    • Bristow, J.R.1
  • 41
    • 7544220578 scopus 로고    scopus 로고
    • The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites
    • D.L. Shi X.Q. Feng Y. Huang K.C. Hwang H. Gao The effect of nanotube waviness and agglomeration on the elastic property of carbon nanotube-reinforced composites J Engng Mater Technol 126 3 2004 250-257
    • (2004) J. Engng. Mater. Technol. , vol.126 , Issue.3 , pp. 250-257
    • Shi, D.L.1    Feng, X.Q.2    Huang, Y.3    Hwang, K.C.4    Gao, H.5
  • 42
    • 0842334593 scopus 로고    scopus 로고
    • Investigation of fatigue microcrack behavior of cast Mg-Al alloy
    • X.S. Wang X. Lu D.H. Wang Investigation of fatigue microcrack behavior of cast Mg-Al alloy Mater Engng Sci A 364 1-2 2004 11-16
    • (2004) Mater. Engng. Sci. A , vol.364 , Issue.1-2 , pp. 11-16
    • Wang, X.S.1    Lu, X.2    Wang, D.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.