메뉴 건너뛰기




Volumn 71, Issue 2, 2004, Pages 193-217

Numerical modeling of interactions between a macro-crack and a cluster of micro-defects

Author keywords

Complex potentials; Conformal mapping; Finite element; Hybrid displacement method; Macro crack; Micro defects

Indexed keywords

CRACKS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS;

EID: 0142184824     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0013-7944(03)00097-3     Document Type: Article
Times cited : (30)

References (39)
  • 1
    • 0000133075 scopus 로고
    • The interaction between a crack and an inclusion
    • Atkinson C. The interaction between a crack and an inclusion Int. J. Engng. Sci. 10 1972 127-136
    • (1972) Int. J. Engng. Sci. , vol.10 , pp. 127-136
    • Atkinson, C.1
  • 2
    • 84986409113 scopus 로고
    • Near tip mechanics of stress induced microcracking in brittle materials
    • Charalambides P. McMeeking R.M. Near tip mechanics of stress induced microcracking in brittle materials J. Am. Ceram. Soc. 71 1988 645-666
    • (1988) J. Am. Ceram. Soc. , vol.71 , pp. 645-666
    • Charalambides, P.1    McMeeking, R.M.2
  • 4
    • 0016332238 scopus 로고
    • Interaction between a circular inclusion and an arbitrary oriented crack
    • Edorgan F. Gupta G.D. Ratawani M. Interaction between a circular inclusion and an arbitrary oriented crack J. Appl. Mech. 41 1974 1007-1013
    • (1974) J. Appl. Mech. , vol.41 , pp. 1007-1013
    • Edorgan, F.1    Gupta, G.D.2    Ratawani, M.3
  • 5
    • 0024862170 scopus 로고
    • General solution to the problem of microcracks near the tip of a main crack
    • Gong S.X. Horii H. General solution to the problem 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
  • 6
    • 0026970891 scopus 로고
    • Microdefect interacting with a main crack: A general treatment
    • Gong S.X. Meguid S.A. Microdefect interacting with a main crack: A general treatment Int. J. Mech. Sci. 34 12 1992 933-945
    • (1992) Int. J. Mech. Sci. , vol.34 , Issue.12 , pp. 933-945
    • Gong, S.X.1    Meguid, S.A.2
  • 7
    • 0027833752 scopus 로고
    • On the elastic fields of an elliptical inhomogeneity under plane deformation
    • Lond. A
    • Gong S.X Meguid S.A. On the elastic fields of an elliptical inhomogeneity under plane deformation Proc. R. Soc. Lond. A 443 1993 457-471
    • (1993) Proc. R. Soc. , vol.443 , pp. 457-471
    • Gong, S.X.1    Meguid, S.A.2
  • 8
    • 4243458974 scopus 로고
    • On the strong crack-microcrack interaction problem
    • Gorelik M. Chudnovsky A. On the strong crack-microcrack interaction problem Int. J. Fract. 56 1992 R9-R14
    • (1992) Int. J. Fract. , vol.56
    • Gorelik, M.1    Chudnovsky, A.2
  • 9
    • 0019033139 scopus 로고
    • A treatment of inelastic deformation around a crack tip due to microcracking
    • Hoagland R.G. Embury J.D. A treatment of inelastic deformation around a crack tip due to microcracking J. Am. Ceram. Soc. 63 1980 404-410
    • (1980) J. Am. Ceram. Soc. , vol.63 , pp. 404-410
    • Hoagland, R.G.1    Embury, J.D.2
  • 10
    • 0023566562 scopus 로고
    • Interacting micro-cracks near the tip in the process zone of a macro-crack
    • Hori M. Nemat-Nasser S. Interacting micro-cracks near the tip in the process zone of a macro-crack J. Mech. Phys. Solids 35 1987 601-615
    • (1987) J. Mech. Phys. Solids , vol.35 , pp. 601-615
    • Hori, M.1    Nemat-Nasser, S.2
  • 11
    • 0023385791 scopus 로고
    • Crack tip shielding by micro-cracking in brittle materials
    • Hutchinson J.W. Crack tip shielding by micro-cracking in brittle materials Acta Metall. 35 7 1987 1605-1619
    • (1987) Acta Metall. , vol.35 , Issue.7 , pp. 1605-1619
    • Hutchinson, J.W.1
  • 12
    • 0002768796 scopus 로고
    • Methods of laurent series expansion for internal crack problems
    • G. C. Sih (Ed.), Leyden: Noordhoff
    • Isida M. Methods of laurent series expansion for internal crack problems Sih G.C. Methods of analysis and solutions of crack problems 1973 56-130 Noordhoff Leyden
    • (1973) Methods of Analysis and Solutions of Crack Problems , pp. 56-130
    • Isida, M.1
  • 13
    • 0022232934 scopus 로고
    • Interaction of a crack with certain microcrack arrays
    • Kachanov M. Montagut E. Interaction of a crack with certain microcrack arrays Engng. Fract. Mech. 25 5/6 1986 625-636
    • (1986) Engng. Fract. Mech. , vol.25 , Issue.5-6 , pp. 625-636
    • Kachanov, M.1    Montagut, E.2
  • 14
    • 0029346697 scopus 로고
    • A hybrid finite element analysis of interface cracks
    • Lee J. Gao H. A hybrid finite element analysis of interface cracks Int. J. Num. Meth. Engng. 38 1995 2465-2482
    • (1995) Int. J. Num. Meth. Engng. , vol.38 , pp. 2465-2482
    • Lee, J.1    Gao, H.2
  • 16
    • 0025840803 scopus 로고
    • A comparison between analytical and finite element analysis of main crack-microcrack interaction
    • Meguid S.A. Gaultier P.E. Gong S.X. A comparison between analytical and finite element analysis of main crack-microcrack interaction Engng. Fract. Mech. 38 6 1991 451-465
    • (1991) Engng. Fract. Mech. , vol.38 , Issue.6 , pp. 451-465
    • Meguid, S.A.1    Gaultier, P.E.2    Gong, S.X.3
  • 17
    • 0029308428 scopus 로고
    • A novel finite element for treating inhomogeneous solids
    • Meguid S.A. Zhu Z.H. A novel finite element for treating inhomogeneous solids Int. J. Num. Method Engng. 38 1995 1579-1592
    • (1995) Int. J. Num. Method Engng. , vol.38 , pp. 1579-1592
    • Meguid, S.A.1    Zhu, Z.H.2
  • 18
    • 0024736253 scopus 로고
    • The exact calculation of stress intensity factors in transformation toughened ceramics by means of integral equations
    • Muller W.H. The exact calculation of stress intensity factors in transformation toughened ceramics by means of integral equations Int. J. Fract. 41 1989 1-22
    • (1989) Int. J. Fract. , vol.41 , pp. 1-22
    • Muller, W.H.1
  • 20
    • 0023306603 scopus 로고
    • Continuum theory of crack shielding in ceramics
    • Ortiz M. Continuum theory of crack shielding in ceramics J. Appl. Mech. 54 1987 54-58
    • (1987) J. Appl. Mech. , vol.54 , pp. 54-58
    • Ortiz, M.1
  • 21
    • 0022111465 scopus 로고
    • Special finite elements with holes and internal cracks
    • Piltner R. Special finite elements with holes and internal cracks Int. J. Numer. Methods Eng. 21 1985 1471-1485
    • (1985) Int. J. Numer. Methods Eng. , vol.21 , pp. 1471-1485
    • Piltner, R.1
  • 22
    • 85007692148 scopus 로고
    • Derivation of element stiffness matrices by assumed stress distribution
    • Pian T.H.H. Derivation of element stiffness matrices by assumed stress distribution AIAA J. 2 1964 1333-1336
    • (1964) AIAA J. , vol.2 , pp. 1333-1336
    • Pian, T.H.H.1
  • 23
    • 0022741508 scopus 로고
    • Microcrack interaction with a main crack
    • Rose L.R.F. Microcrack interaction with a main crack Int. J. Fract. 31 1986 233-242
    • (1986) Int. J. Fract. , vol.31 , pp. 233-242
    • Rose, L.R.F.1
  • 24
    • 0022783566 scopus 로고
    • Macrocrack-microdefect interaction
    • Rubinstein A.A Macrocrack-microdefect interaction J. Appl. Mech. 53 1986 505-510
    • (1986) J. Appl. Mech. , vol.53 , pp. 505-510
    • Rubinstein A.A1
  • 26
    • 0015636630 scopus 로고
    • Some basic problems in fracture mechanics and new concepts
    • Sih G.C. Some basic problems in fracture mechanics and new concepts Engng. Fract. Mech. 5 1973 365-377
    • (1973) Engng. Fract. Mech. , vol.5 , pp. 365-377
    • Sih, G.C.1
  • 27
    • 0016101548 scopus 로고
    • Strain-energy-density factor applied to mixed mode crack problem
    • Sih G.C. Strain-energy-density factor applied to mixed mode crack problem Int. J. Fract. 10 3 1975 305-321
    • (1975) Int. J. Fract. , vol.10 , Issue.3 , pp. 305-321
    • Sih, G.C.1
  • 28
    • 0032674565 scopus 로고    scopus 로고
    • A high precision element with a central circular hole
    • Soh A.K. Long Z.F. A high precision element with a central circular hole Int. J. Solids Struct. 36 35 1999 5485-5497
    • (1999) Int. J. Solids Struct. , vol.36 , Issue.35 , pp. 5485-5497
    • Soh, A.K.1    Long, Z.F.2
  • 29
    • 0000966619 scopus 로고
    • The effect of a circular inclusion on the stresses around a line crack in a sheet under tension
    • Tamate O. The effect of a circular inclusion on the stresses around a line crack in a sheet under tension Int. J. Fract. 4 1968 257-271
    • (1968) Int. J. Fract. , vol.4 , pp. 257-271
    • Tamate, O.1
  • 30
    • 0032297472 scopus 로고    scopus 로고
    • Analysis of bimaterial wedges using a new singular finite element
    • Tan M.A. Meguid S.A. Analysis of bimaterial wedges using a new singular finite element Int. J. Fract. 88 1997 373-391
    • (1997) Int. J. Fract. , vol.88 , pp. 373-391
    • Tan, M.A.1    Meguid, S.A.2
  • 31
    • 0016942248 scopus 로고
    • Fracture conditions of a crack approaching a disturbance
    • Tirosh J. Telelman A.S. Fracture conditions of a crack approaching a disturbance Int. J. Fract. 12 1976 187-199
    • (1976) Int. J. Fract. , vol.12 , pp. 187-199
    • Tirosh, J.1    Telelman, A.S.2
  • 32
    • 49849119017 scopus 로고
    • A variational principle and the convergence of a finite-element method based on assumed stress distribution
    • Tong P. Pian T.H.H. A variational principle and the convergence of a finite-element method based on assumed stress distribution Int. J. Solids Struct. 5 1969 463-472
    • (1969) Int. J. Solids Struct. , vol.5 , pp. 463-472
    • Tong, P.1    Pian, T.H.H.2
  • 33
    • 0014705430 scopus 로고
    • New displacement hybrid finite element models for solid continua
    • Tong P. New displacement hybrid finite element models for solid continua Int. J. Numer. Methods Engng. 2 1970 73-83
    • (1970) Int. J. Numer. Methods Engng. , vol.2 , pp. 73-83
    • Tong, P.1
  • 34
    • 0015752021 scopus 로고
    • A hybrid-element approach to crack problems in plane elasticity
    • Tong P. Pian T.H.H. Lasry S.J. A hybrid-element approach to crack problems in plane elasticity Int. J. Numer. Methods Engng. 7 1973 297-308
    • (1973) Int. J. Numer. Methods Engng. , vol.7 , pp. 297-308
    • Tong, P.1    Pian, T.H.H.2    Lasry, S.J.3
  • 35
    • 0017449402 scopus 로고
    • A hybrid crack element for rectilinear anisotropic material
    • Tong P. A hybrid crack element for rectilinear anisotropic material Int. J. Numer. Methods Engng. 11 1977 377-403
    • (1977) Int. J. Numer. Methods Engng. , vol.11 , pp. 377-403
    • Tong, P.1
  • 37
    • 0000288099 scopus 로고
    • Characteristics of the elastic field of a rigid line inhomogeneity
    • Wang Z.Y. Zhang H.T. Chou Y.T. Characteristics of the elastic field of a rigid line inhomogeneity J. Appl. Mech. 52 1985 818-822
    • (1985) J. Appl. Mech. , vol.52 , pp. 818-822
    • Wang, Z.Y.1    Zhang, H.T.2    Chou, Y.T.3
  • 38
    • 0029243865 scopus 로고
    • A hybrid finite element method for heterogeneous materials with randomly dispersed elastic inclusions
    • Zhang J. Katsube N. A hybrid finite element method for heterogeneous materials with randomly dispersed elastic inclusions Finite Elements Anal. Des. 19 1995 45-55
    • (1995) Finite Elements Anal. Des. , vol.19 , pp. 45-55
    • Zhang, J.1    Katsube, N.2
  • 39
    • 0001307618 scopus 로고
    • A hybrid finite element method for heterogeneous materials with randomly dispersed rigid inclusions
    • Zhang J. Katsube N. A hybrid finite element method for heterogeneous materials with randomly dispersed rigid inclusions Int. J. Numer. Methods Engng. 38 1995 1635-1653
    • (1995) Int. J. Numer. Methods Engng. , vol.38 , pp. 1635-1653
    • Zhang, J.1    Katsube, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.