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Volumn 45, Issue 9, 2008, Pages 2758-2784

Meso cell model of fiber reinforced composite: Interface stress statistics and debonding paths

Author keywords

Cell model; Debonding path; Fibrous composite material; Interface stress statistics; Linear elasticity; Multipole expansion

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; FATIGUE OF MATERIALS; MICROMECHANICS; STRESS ANALYSIS;

EID: 40649104072     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.12.019     Document Type: Article
Times cited : (51)

References (61)
  • 1
    • 0004245694 scopus 로고
    • Handbook for mathematical functions
    • M. Abramovitz I.A. Stegun Handbook for mathematical functions NBS Applied Mathematics Series vol. 55 1964 Flammarion Paris
    • (1964)
    • Abramovitz, M.1    Stegun, I.A.2
  • 2
    • 85120255419 scopus 로고    scopus 로고
    • Allen, D.H., Highsmith, A.L., Lo, D.C., 1990. A continuum damage mechanics model for life prediction of laminated composites. In: Cardon, A.H., Vecheri, G. (Eds.), Durability of polymer based composite systems for structural applications, Proceedings of the International Colloquius, 23–27 August 1990, Brussels, Belgium.
  • 3
    • 0031257478 scopus 로고    scopus 로고
    • The influence of interface and arrangement of inclusions on local stresses in composite materials
    • A. Al-Ostaz I. Jasiuk The influence of interface and arrangement of inclusions on local stresses in composite materials Acta Materialia 45 1996 4131 4143
    • (1996) Acta Materialia , vol.45 , pp. 4131-4143
    • Al-Ostaz, A.1    Jasiuk, I.2
  • 5
    • 34047183077 scopus 로고    scopus 로고
    • Effective properties of elastic periodic composite media with fibers
    • G. Bonnet Effective properties of elastic periodic composite media with fibers Journal of the Mechanics and Physics of Solids 55 2007 881 899
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , pp. 881-899
    • Bonnet, G.1
  • 6
    • 0001841588 scopus 로고    scopus 로고
    • Multiparticle effective field and related methods in micromechanics of composite materials
    • V.A. Buryachenko Multiparticle effective field and related methods in micromechanics of composite materials Applied Mechanics Reviews 54 2001 1 47
    • (2001) Applied Mechanics Reviews , vol.54 , pp. 1-47
    • Buryachenko, V.A.1
  • 7
    • 27644476485 scopus 로고    scopus 로고
    • Effective transverse elastic moduli of composites at non-dilute concentration of a random field of aligned fibers
    • V.A. Buryachenko V.I. Kushch Effective transverse elastic moduli of composites at non-dilute concentration of a random field of aligned fibers Zeitschrift Für Angewandte Mathematik und Physik (ZAMP) 57 2006 491 505
    • (2006) Zeitschrift Für Angewandte Mathematik und Physik (ZAMP) , vol.57 , pp. 491-505
    • Buryachenko, V.A.1    Kushch, V.I.2
  • 8
    • 0037219631 scopus 로고    scopus 로고
    • Quantitative description and numerical simulation of random microstructures of composites and their effective elastic moduli
    • V.A. Buryachenko N.J. Pagano R.Y. Kim J.E. Spowart Quantitative description and numerical simulation of random microstructures of composites and their effective elastic moduli International Journal of Solids and Structures 40 2003 47 72
    • (2003) International Journal of Solids and Structures , vol.40 , pp. 47-72
    • Buryachenko, V.A.1    Pagano, N.J.2    Kim, R.Y.3    Spowart, J.E.4
  • 9
    • 85120280717 scopus 로고    scopus 로고
    • Brøndsted, P., Lilholt, H., Andersen, S., 1997. Fatigue damage prediction by measurements of the stiffness degradation in the polymer matrix composites. In: International Conference on Fatigue of Composites Eighth International Spring Meeting, Paris, 3–5 June 1997.
  • 10
    • 0041728749 scopus 로고    scopus 로고
    • Influence of the inclusions distribution on the effective properties of heterogeneous media
    • J. Bystroem Influence of the inclusions distribution on the effective properties of heterogeneous media Composites: Part B 34 2003 587 592
    • (2003) Composites: Part B , vol.34 , pp. 587-592
    • Bystroem, J.1
  • 11
    • 2342434619 scopus 로고    scopus 로고
    • Interface stress distributions in transversely loaded continuous fiber composites: parallel computation in multi-fiber RVEs using the boundary element method
    • X. Chen T.D. Papathanasiou Interface stress distributions in transversely loaded continuous fiber composites: parallel computation in multi-fiber RVEs using the boundary element method Composites Science and Technology 64 2004 1101 1114
    • (2004) Composites Science and Technology , vol.64 , pp. 1101-1114
    • Chen, X.1    Papathanasiou, T.D.2
  • 14
    • 0000233654 scopus 로고    scopus 로고
    • Fatigue damage modelling of fibre-reinforced composite materials: review
    • J. Degrieck W. Van Paepegem Fatigue damage modelling of fibre-reinforced composite materials: review Applied Mechanics Reviews 54 2001 279 300
    • (2001) Applied Mechanics Reviews , vol.54 , pp. 279-300
    • Degrieck, J.1    Van Paepegem, W.2
  • 15
    • 33750320511 scopus 로고    scopus 로고
    • Effective elastic properties of doubly periodic array of inclusions of various shapes by the boundary element method
    • C.Y. Dong Effective elastic properties of doubly periodic array of inclusions of various shapes by the boundary element method International Journal for Solids and Structures 43 2006 7919 7938
    • (2006) International Journal for Solids and Structures , vol.43 , pp. 7919-7938
    • Dong, C.Y.1
  • 16
    • 33846559698 scopus 로고    scopus 로고
    • Micro-mechanical analysis of heterogeneous materials: macroscopically homogeneous vs periodic microstructures
    • A. Drago M.J. Pindera Micro-mechanical analysis of heterogeneous materials: macroscopically homogeneous vs periodic microstructures Composite Sciences and Technology 67 2007 1243 1263
    • (2007) Composite Sciences and Technology , vol.67 , pp. 1243-1263
    • Drago, A.1    Pindera, M.J.2
  • 17
    • 0030128871 scopus 로고    scopus 로고
    • A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites
    • W.J. Drugan J.R. Willis A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites Journal of the Mechanics and Physics of Solids 44 1996 497 524
    • (1996) Journal of the Mechanics and Physics of Solids , vol.44 , pp. 497-524
    • Drugan, W.J.1    Willis, J.R.2
  • 18
    • 0000756550 scopus 로고
    • Determining elastic behavior of composites by the boundary element method
    • J.W. Eischen S. Torquato Determining elastic behavior of composites by the boundary element method Journal of Applied Physics 74 1993 159 170
    • (1993) Journal of Applied Physics , vol.74 , pp. 159-170
    • Eischen, J.W.1    Torquato, S.2
  • 19
    • 85120263162 scopus 로고    scopus 로고
    • Fraysse, V., Giraud, L., Gratton S., 1998. A Set of Flexible-GMRES Routines for Real and Complex Arithmetics. CERFACS Technical Report TR/PA/98/20.
  • 21
    • 33745955780 scopus 로고    scopus 로고
    • Fatigue Degradation and Failure of Rotating Composite Structures – Materials Characterisation and Underlying Mechanisms
    • E.K. Gamstedt S.I. Andersen Fatigue Degradation and Failure of Rotating Composite Structures – Materials Characterisation and Underlying Mechanisms 2001 RisøNational Laboratory Roskilde, Denmark
    • (2001)
    • Gamstedt, E.K.1    Andersen, S.I.2
  • 22
    • 85120262217 scopus 로고    scopus 로고
    • Golovchan, V.T., Guz, A.N., Kohanenko, Yu., Kushch, V.I., 1993. Mechanics of composites (in 12 volumes), vol. 1. Statics of Materials. Naukova dumka, Kiev.
  • 24
    • 0028021598 scopus 로고
    • Fast algorithms for classical physics
    • L. Greengard Fast algorithms for classical physics Science 265 1994 909 914
    • (1994) Science , vol.265 , pp. 909-914
    • Greengard, L.1
  • 25
    • 0025505232 scopus 로고
    • Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element method
    • J.M. Guedes N. Kikuchi Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element method Computer Methods in Applied Mechanics and Engineering 83 1990 143 198
    • (1990) Computer Methods in Applied Mechanics and Engineering , vol.83 , pp. 143-198
    • Guedes, J.M.1    Kikuchi, N.2
  • 26
    • 0004255286 scopus 로고
    • Statistics of Extremes
    • E.J. Gumbel Statistics of Extremes 1958 Columbia University Press New York
    • (1958)
    • Gumbel, E.J.1
  • 27
    • 0031235429 scopus 로고    scopus 로고
    • Representative volume element size for elastic composites: a numerical study
    • A.A. Gusev Representative volume element size for elastic composites: a numerical study Journal of the Mechanics and Physics of Solids 45 1997 1449 1459
    • (1997) Journal of the Mechanics and Physics of Solids , vol.45 , pp. 1449-1459
    • Gusev, A.A.1
  • 28
    • 0032305382 scopus 로고    scopus 로고
    • A review of homogenization and topology optimization I-homogenization theory for media with periodic structure
    • B. Hassini E. Hinton A review of homogenization and topology optimization I-homogenization theory for media with periodic structure Computers and Structures 69 1998 707 717
    • (1998) Computers and Structures , vol.69 , pp. 707-717
    • Hassini, B.1    Hinton, E.2
  • 29
    • 0029325032 scopus 로고
    • An integral equation method for elastostatics of periodic composites
    • J. Helsing An integral equation method for elastostatics of periodic composites Journal of the Mechanics and Physics of Solids 43 1995 815 828
    • (1995) Journal of the Mechanics and Physics of Solids , vol.43 , pp. 815-828
    • Helsing, J.1
  • 30
    • 0033691439 scopus 로고    scopus 로고
    • Effective elastic properties of 2-D solids with circular holes: numerical simulations
    • N. Hu B. Wang G.W. Tan Z.H. Yao W.F. Yuan Effective elastic properties of 2-D solids with circular holes: numerical simulations Composite Sciences and Technology 60 2000 1811 1823
    • (2000) Composite Sciences and Technology , vol.60 , pp. 1811-1823
    • Hu, N.1    Wang, B.2    Tan, G.W.3    Yao, Z.H.4    Yuan, W.F.5
  • 31
    • 85120270280 scopus 로고    scopus 로고
    • Joffe, R., 1999. Damage accumulation and stiffness degradation in composite laminates. PhD thesis, Lulea University of Technology, Lulea, Sweden.
  • 32
    • 0003579391 scopus 로고
    • Approximate Methods of Higher Analysis
    • L.V. Kantorovich V.I. Krylov Approximate Methods of Higher Analysis 1964 Wiley New York
    • (1964)
    • Kantorovich, L.V.1    Krylov, V.I.2
  • 33
    • 0342323731 scopus 로고    scopus 로고
    • Boundary element method homogenization of the periodic linear elastic composites
    • M. Kaminski Boundary element method homogenization of the periodic linear elastic composites Engineering Analysis with Boundary Elements 23 1999 815 823
    • (1999) Engineering Analysis with Boundary Elements , vol.23 , pp. 815-823
    • Kaminski, M.1
  • 34
    • 0031120788 scopus 로고    scopus 로고
    • Microstresses and effective elastic moduli of a solid reinforced by periodically distributed spheroidal inclusions
    • V.I. Kushch Microstresses and effective elastic moduli of a solid reinforced by periodically distributed spheroidal inclusions International Journal of Solids and Structures 34 1997 1353 1366
    • (1997) International Journal of Solids and Structures , vol.34 , pp. 1353-1366
    • Kushch, V.I.1
  • 38
    • 3142680796 scopus 로고    scopus 로고
    • Boundary Integral Equations in Elasticity Theory
    • A.M. Linkov Boundary Integral Equations in Elasticity Theory 2002 Kluwer Dordrecht, Boston
    • (2002)
    • Linkov, A.M.1
  • 39
    • 0030131504 scopus 로고    scopus 로고
    • Effect of interfacial decohesion on stiffness reduction in a random discontinuous-fibre composite containing matrix microcracks
    • F. Meraghni C.J. Blakemad M.L. Benzeggagh Effect of interfacial decohesion on stiffness reduction in a random discontinuous-fibre composite containing matrix microcracks Composites Science and Technology 56 1996 541 555
    • (1996) Composites Science and Technology , vol.56 , pp. 541-555
    • Meraghni, F.1    Blakemad, C.J.2    Benzeggagh, M.L.3
  • 40
    • 0036898688 scopus 로고    scopus 로고
    • Implementation of a constitutive micromechanical model for damage analysis in glass mat reinforced composite structures
    • F. Meraghni F. Desrumaux M.L. Benzeggagh Implementation of a constitutive micromechanical model for damage analysis in glass mat reinforced composite structures Composites Science and Technology 62 2002 2087 2097
    • (2002) Composites Science and Technology , vol.62 , pp. 2087-2097
    • Meraghni, F.1    Desrumaux, F.2    Benzeggagh, M.L.3
  • 41
    • 34547737809 scopus 로고    scopus 로고
    • Computational Mesomechanics of Composite Materials
    • L. Mishnaevsky Jr. Computational Mesomechanics of Composite Materials 2007 Wiley
    • (2007)
    • Mishnaevsky, L.1
  • 43
    • 0036743249 scopus 로고    scopus 로고
    • A Galerkin boundary integral method for multiple circular elastic inclusions with homogeneously imperfect interfaces
    • S.G. Mogilevskaya S.L. Crouch A Galerkin boundary integral method for multiple circular elastic inclusions with homogeneously imperfect interfaces International Journal for Solids and Structures 39 2002 4723 4746
    • (2002) International Journal for Solids and Structures , vol.39 , pp. 4723-4746
    • Mogilevskaya, S.G.1    Crouch, S.L.2
  • 44
    • 0742287818 scopus 로고    scopus 로고
    • A Galerkin boundary integral method for multiple circular elastic inclusions with uniform interphase layers
    • S.G. Mogilevskaya S.L. Crouch A Galerkin boundary integral method for multiple circular elastic inclusions with uniform interphase layers International Journal for Solids and Structures 41 2004 1285 1311
    • (2004) International Journal for Solids and Structures , vol.41 , pp. 1285-1311
    • Mogilevskaya, S.G.1    Crouch, S.L.2
  • 45
    • 85120272596 scopus 로고    scopus 로고
    • Muskhelishvili, N.I., 1953. Some basic problems of the mathematical theory of elasticity. Groningen, P. Noordhoff.
  • 46
    • 34548213158 scopus 로고    scopus 로고
    • Kinking of transversal interface cracks between fiber and matrix
    • F. Paris E. Correa V. Mantič Kinking of transversal interface cracks between fiber and matrix Journal of Applied Mechanics 74 2007 703 716
    • (2007) Journal of Applied Mechanics , vol.74 , pp. 703-716
    • Paris, F.1    Correa, E.2    Mantič, V.3
  • 47
    • 0037219896 scopus 로고    scopus 로고
    • Interface crack around circular inclusion: SIF, kinking, debonding energetics
    • P.B.N. Prasad K.R.Y. Simha Interface crack around circular inclusion: SIF, kinking, debonding energetics Engineering Fracture Mechanics 70 2003 285 307
    • (2003) Engineering Fracture Mechanics , vol.70 , pp. 285-307
    • Prasad, P.B.N.1    Simha, K.R.Y.2
  • 48
    • 0029327902 scopus 로고
    • A statistical approach for fracture of brittle materials based on the chain-of-bundles model
    • C. Ruggieri F. Minami M. Toyoda A statistical approach for fracture of brittle materials based on the chain-of-bundles model Journal of Applied Mechanics 62 1995 320 328
    • (1995) Journal of Applied Mechanics , vol.62 , pp. 320-328
    • Ruggieri, C.1    Minami, F.2    Toyoda, M.3
  • 49
    • 0000048673 scopus 로고
    • GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad M.H. Schultz GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems SIAM Journal on Scientic and Statistical Computing 7 1986 856 869
    • (1986) SIAM Journal on Scientic and Statistical Computing , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 50
    • 5844419608 scopus 로고    scopus 로고
    • An O(N) algorithm for Stokes and Laplace interactions of particles
    • A.S. Sangani G. Mo An O( N ) algorithm for Stokes and Laplace interactions of particles Physics of Fluids 8 1996 1990 2009
    • (1996) Physics of Fluids , vol.8 , pp. 1990-2009
    • Sangani, A.S.1    Mo, G.2
  • 51
    • 0000301079 scopus 로고
    • Bulk thermal conductivity of composites with spherical inclusions
    • A.S. Sangani C. Yao Bulk thermal conductivity of composites with spherical inclusions Journal of Applied Physics 63 1988 1334 1341
    • (1988) Journal of Applied Physics , vol.63 , pp. 1334-1341
    • Sangani, A.S.1    Yao, C.2
  • 52
    • 38049045175 scopus 로고    scopus 로고
    • A numerical investigation of the effect of boundary conditions and representative volume element size for porous titanium
    • H. Shen L.C. Brinson A numerical investigation of the effect of boundary conditions and representative volume element size for porous titanium Journal of Mechanics of Materials and Structures 1 2006 1179 1204
    • (2006) Journal of Mechanics of Materials and Structures , vol.1 , pp. 1179-1204
    • Shen, H.1    Brinson, L.C.2
  • 53
    • 0033726373 scopus 로고    scopus 로고
    • Progressive fatigue damage modeling of composite materials. Part I: modeling
    • M.M. Shokrieh L.B. Lessard Progressive fatigue damage modeling of composite materials. Part I: modeling Journal of Composite Materials 34 13 2000 1056 1080
    • (2000) Journal of Composite Materials , vol.34 , Issue.13 , pp. 1056-1080
    • Shokrieh, M.M.1    Lessard, L.B.2
  • 54
    • 85120278405 scopus 로고    scopus 로고
    • Talreja, R., 2000. Fatigue damage evolution in composites – a new way forward in modeling. In: Proceedings of the Second International Conference on Fatigue of Composites. 4–7 June 2000, Williamsburg.
  • 55
    • 0003581254 scopus 로고    scopus 로고
    • Random Heterogeneous Materials: Microstructure and Macroscopic Properties
    • S. Torquato Random Heterogeneous Materials: Microstructure and Macroscopic Properties 2002 Springer-Verlag New York
    • (2002)
    • Torquato, S.1
  • 57
    • 85120266737 scopus 로고    scopus 로고
    • Tsai, S.W., 1988. Composites Design, fourth ed., Think Composites, Dayton, Ohio.
  • 58
    • 18144400942 scopus 로고    scopus 로고
    • An embedding method for modeling micromechanical behavior and macroscopic properties of composite materials
    • J. Wang S.G. Mogilevskaya S.L. Crouch An embedding method for modeling micromechanical behavior and macroscopic properties of composite materials International Journal of Solids and Structures 42 2005 4588 4612
    • (2005) International Journal of Solids and Structures , vol.42 , pp. 4588-4612
    • Wang, J.1    Mogilevskaya, S.G.2    Crouch, S.L.3
  • 59
    • 27244452869 scopus 로고    scopus 로고
    • A fast and accurate algorithm for a Galerkin boundary integral method
    • J. Wang S.L. Crouch S.G. Mogilevskaya A fast and accurate algorithm for a Galerkin boundary integral method Computational Mechanics 37 2005 96 109
    • (2005) Computational Mechanics , vol.37 , pp. 96-109
    • Wang, J.1    Crouch, S.L.2    Mogilevskaya, S.G.3
  • 60
    • 27844510994 scopus 로고    scopus 로고
    • Numerical modeling of the elastic behavior of fiber-reinforced composites with radially graded interphases
    • J. Wang S.L. Crouch S.G. Mogilevskaya Numerical modeling of the elastic behavior of fiber-reinforced composites with radially graded interphases Composite Sciences and Technology 66 2006 1 18
    • (2006) Composite Sciences and Technology , vol.66 , pp. 1-18
    • Wang, J.1    Crouch, S.L.2    Mogilevskaya, S.G.3
  • 61
    • 0037276469 scopus 로고    scopus 로고
    • Overall elastic and elastoplastic behavior of a partially debonded fibre-reinforced composite
    • S.F. Zheng M. Denda G.J. Weng Overall elastic and elastoplastic behavior of a partially debonded fibre-reinforced composite Journal of Composite Materials 37 2003 741 758
    • (2003) Journal of Composite Materials , vol.37 , pp. 741-758
    • Zheng, S.F.1    Denda, M.2    Weng, G.J.3


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