메뉴 건너뛰기




Volumn 5, Issue 3, 1998, Pages 201-226

Symmetric boundary element method for "discrete" crack modelling of fracture processes

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; BRITTLENESS; CRACKS; GALERKIN METHODS; KINEMATICS; MATHEMATICAL MODELS;

EID: 0032280026     PISSN: 1232308X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (66)
  • 2
    • 0023455011 scopus 로고
    • The effect of the shape of the strain-softening diagram on the bearing capacity of concrete beams
    • A.M. Alvaredo and R.J. Torrent. The effect of the shape of the strain-softening diagram on the bearing capacity of concrete beams, Mat. Struct., 20: 448-454, 1987.
    • (1987) Mat. Struct. , vol.20 , pp. 448-454
    • Alvaredo, A.M.1    Torrent, R.J.2
  • 4
    • 0028465935 scopus 로고
    • Efficient analytical integration of symmetric Galerkin boundary integrals over curved elements: Thermal conduction formulation
    • C. Balakrishna, L.J. Gray and J.H. Kane. Efficient analytical integration of symmetric Galerkin boundary integrals over curved elements: thermal conduction formulation, Comp. Meth. Appl. Mech. Engng., 117: 157-179, 1994.
    • (1994) Comp. Meth. Appl. Mech. Engng. , vol.117 , pp. 157-179
    • Balakrishna, C.1    Gray, L.J.2    Kane, J.H.3
  • 5
    • 0001591441 scopus 로고
    • Global instability and bifurcation in beams composed of rock-like materials
    • L. Biolzi and J.F. Labuz. Global instability and bifurcation in beams composed of rock-like materials, Int. J. Solids Structures, 30: 359-370, 1993.
    • (1993) Int. J. Solids Structures , vol.30 , pp. 359-370
    • Biolzi, L.1    Labuz, J.F.2
  • 6
    • 0016942524 scopus 로고
    • Instability, ductility and size effects in strain-softening concrete
    • Z.P. Bazant. Instability, ductility and size effects in strain-softening concrete, ASCE J. of Engng. Mech., 102: 331-344, 1976.
    • (1976) ASCE J. of Engng. Mech. , vol.102 , pp. 331-344
    • Bazant, Z.P.1
  • 8
    • 0005432496 scopus 로고
    • Boundary element and finite element analysis of dams by the cohesive crack model: A comparative study
    • Bourdarot, E.J. Mazars and V. Saouma, Balkema, Rotterdam
    • G. Bolzon, G. Cocchetti, G. Maier, G. Novati and G. Giuseppetti. Boundary element and finite element analysis of dams by the cohesive crack model: a comparative study. In: Bourdarot, E.J. Mazars and V. Saouma, Dam Fracture and Damage, Balkema, Rotterdam 69-78, 1994.
    • (1994) Dam Fracture and Damage , pp. 69-78
    • Bolzon, G.1    Cocchetti, G.2    Maier, G.3    Novati, G.4    Giuseppetti, G.5
  • 9
    • 0001949427 scopus 로고
    • Some aspects of quasi-brittle fracture analysis as a linear complementarity problem
    • Z.P. Bazǎnt, Z. Bittnar, M. Jirasek and J. Mazars. eds., E & FN Spon, London
    • G. Bolzon, G. Maier and G. Novati. Some aspects of quasi-brittle fracture analysis as a linear complementarity problem. In: Z.P. Bazǎnt, Z. Bittnar, M. Jirasek and J. Mazars. eds., Fracture and Damage in Quasibrittle Structures, E & FN Spon, London, 159-174, 1994.
    • (1994) Fracture and Damage in Quasibrittle Structures , pp. 159-174
    • Bolzon, G.1    Maier, G.2    Novati, G.3
  • 10
    • 0001867766 scopus 로고
    • Holonomic and nonholonomic simulations of quasi-brittle fracture: A comparative study of mathematical programming approaches
    • F.H. Wittman, ed., Aedificatio Publishers, Freiburg
    • G. Bolzon, G. Maier and F. Tin Loi. Holonomic and nonholonomic simulations of quasi-brittle fracture: a comparative study of mathematical programming approaches. In: F.H. Wittman, ed., Fracture Mechanics of Concrete Structures, Aedificatio Publishers, Freiburg, 885-898, 1995.
    • (1995) Fracture Mechanics of Concrete Structures , pp. 885-898
    • Bolzon, G.1    Maier, G.2    Tin Loi, F.3
  • 11
    • 0030786846 scopus 로고    scopus 로고
    • A discrete formulation for elastic solids with damaging interfaces
    • G. Bolzon and A. Corigliano. A discrete formulation for elastic solids with damaging interfaces, Comp. Meth. Appl. Mech. Engng., 140: 329-359, 1997.
    • (1997) Comp. Meth. Appl. Mech. Engng. , vol.140 , pp. 329-359
    • Bolzon, G.1    Corigliano, A.2
  • 12
    • 0031143721 scopus 로고    scopus 로고
    • On multiplicity of solutions in quasi-brittle fracture computations
    • G. Bolzon, G. Maier and F. Tin Loi. On multiplicity of solutions in quasi-brittle fracture computations, Computat. Mech., 19: 511-516, 1997.
    • (1997) Computat. Mech. , vol.19 , pp. 511-516
    • Bolzon, G.1    Maier, G.2    Tin Loi, F.3
  • 14
    • 0029211202 scopus 로고
    • Regularized direct and indirect symmetric variational BIE formulation for three dimensional elasticity
    • M. Bonnet. Regularized direct and indirect symmetric variational BIE formulation for three dimensional elasticity, Engng. Analysis with BoundaryElem., 15: 93-102, 1995.
    • (1995) Engng. Analysis with BoundaryElem. , vol.15 , pp. 93-102
    • Bonnet, M.1
  • 16
    • 0347397120 scopus 로고    scopus 로고
    • Analytical integrations for two-dimensional elastic analysis by the symmetric Galerkin boundary element method
    • to appear
    • A. Carini, M. Diligenti, P. Maranesi and M. Zanella. Analytical integrations for two-dimensional elastic analysis by the symmetric Galerkin boundary element method, Computat. Mech., (to appear, 1998).
    • (1998) Computat. Mech.
    • Carini, A.1    Diligenti, M.2    Maranesi, P.3    Zanella, M.4
  • 17
    • 0024699853 scopus 로고
    • Softening and snap-back instability of cohesive solids
    • A. Carpinteri. Softening and snap-back instability of cohesive solids, Int. J. Num. Meth. Engng., 29: 1521-1538, 1989.
    • (1989) Int. J. Num. Meth. Engng. , vol.29 , pp. 1521-1538
    • Carpinteri, A.1
  • 19
    • 0026927097 scopus 로고
    • Bifurcations and instabilities in fracture of cohesive-softening structures: A boundary element analysis
    • Z. Cen and G. Maier. Bifurcations and instabilities in fracture of cohesive-softening structures: a boundary element analysis, Fatigue Fract. Engng. Mater. Struct., 15: 911-928, 1992.
    • (1992) Fatigue Fract. Engng. Mater. Struct. , vol.15 , pp. 911-928
    • Cen, Z.1    Maier, G.2
  • 20
    • 0026763754 scopus 로고
    • Extremum, convergence and stability properties of the finite-increment problem in elastic-plastic boundary element analysis
    • C. Comi and G. Maier. Extremum, convergence and stability properties of the finite-increment problem in elastic-plastic boundary element analysis, Int. J. Solids Structures, 29: 249-270, 1992.
    • (1992) Int. J. Solids Structures , vol.29 , pp. 249-270
    • Comi, C.1    Maier, G.2
  • 21
    • 0026852438 scopus 로고
    • Generalized variable finite element modelling and extremum theorems in stepwise holonomic elastoplasticity with internal variables
    • C. Comi, G. Maier and U. Perego. Generalized variable finite element modelling and extremum theorems in stepwise holonomic elastoplasticity with internal variables, Comp. Meth. Appl. Mech., Engng., 96: 133-171, 1992.
    • (1992) Comp. Meth. Appl. Mech., Engng. , vol.96 , pp. 133-171
    • Comi, C.1    Maier, G.2    Perego, U.3
  • 22
    • 0030283656 scopus 로고    scopus 로고
    • A generalized variable formulation for gradient dependent softening plasticity
    • C. Comi and U. Perego. A generalized variable formulation for gradient dependent softening plasticity, Int. J. Num. Meth. Engng., 39: 3731-3755, 1996.
    • (1996) Int. J. Num. Meth. Engng. , vol.39 , pp. 3731-3755
    • Comi, C.1    Perego, U.2
  • 23
    • 0027790383 scopus 로고
    • Formulation, identification and use of interface models in the numerical analysis of composite delamination
    • A. Corigliano. Formulation, identification and use of interface models in the numerical analysis of composite delamination, Int. Solids Structures, 30: 2779-2811, 1993.
    • (1993) Int. Solids Structures , vol.30 , pp. 2779-2811
    • Corigliano, A.1
  • 27
    • 0029423693 scopus 로고
    • The PATH solver: A non-monotone stabilization scheme for mixed complementarity problems
    • S.P. Dirkse and M.C. Ferris. The PATH solver: a non-monotone stabilization scheme for mixed complementarity problems, Optimization Methods & Software, 5: 123-156, 1995.
    • (1995) Optimization Methods & Software , vol.5 , pp. 123-156
    • Dirkse, S.P.1    Ferris, M.C.2
  • 28
    • 0030284441 scopus 로고    scopus 로고
    • Symmetric BE method in two dimensional elasticity: Evaluation of double integrals for curved elements
    • A. Frangi and G. Novati. Symmetric BE method in two dimensional elasticity: evaluation of double integrals for curved elements, Computat. Mech., 19: 58-68, 1996.
    • (1996) Computat. Mech. , vol.19 , pp. 58-68
    • Frangi, A.1    Novati, G.2
  • 29
    • 0026820278 scopus 로고
    • FEM modelling of fictitious crack propagation in concrete
    • W.H. Gerstle and X. Ming. FEM modelling of fictitious crack propagation in concrete, ASCE J. of Engng. Mech., 118: 587-603, 1992.
    • (1992) ASCE J. of Engng. Mech. , vol.118 , pp. 587-603
    • Gerstle, W.H.1    Ming, X.2
  • 30
    • 0026917189 scopus 로고
    • A general algorithm for the numerical solution of hypersingular boundary integral equations
    • M. Guiggiani, G. Krishnasamy, T.j. Rudolphi and F.J. Rizzo. A general algorithm for the numerical solution of hypersingular boundary integral equations, J. Appl. Mech., 59: 604-614, 1992.
    • (1992) J. Appl. Mech. , vol.59 , pp. 604-614
    • Guiggiani, M.1    Krishnasamy, G.2    Rudolphi, T.J.3    Rizzo, F.J.4
  • 31
    • 0028829870 scopus 로고
    • Modelling of fracture of concrete
    • G. V. Guinea. Modelling of fracture of concrete, Mat. Struct., 28: 187-194, 1995.
    • (1995) Mat. Struct. , vol.28 , pp. 187-194
    • Guinea, G.V.1
  • 32
    • 0004725612 scopus 로고
    • Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
    • A. Hillerborg, M. Modeer and P.E. Petersson. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cem. Concr. Research, 6: 773-782, 1976.
    • (1976) Cem. Concr. Research , vol.6 , pp. 773-782
    • Hillerborg, A.1    Modeer, M.2    Petersson, P.E.3
  • 33
    • 0027555155 scopus 로고
    • How to deal with hypersingular integrals in the symmetric BEM
    • S. Holzer. How to deal with hypersingular integrals in the symmetric BEM, Comm. Num. Meth. Engng., 9: 219-232, 1993.
    • (1993) Comm. Num. Meth. Engng. , vol.9 , pp. 219-232
    • Holzer, S.1
  • 34
    • 0002806391 scopus 로고
    • Theory of crack initiation and propagation in rock
    • B. Atkinson ed., Academic Press, London, chap. 3
    • A.R. Ingraffea. Theory of crack initiation and propagation in rock. In: B. Atkinson ed., Rock Fracture Mechanics, Academic Press, London, chap. 3, 1987.
    • (1987) Rock Fracture Mechanics
    • Ingraffea, A.R.1
  • 35
    • 0024051137 scopus 로고
    • An enumerative method for the solution of linear complementarity problems
    • J.J. Judice and G. Mitra. An enumerative method for the solution of linear complementarity problems, Eur. J. Operat. Res., 36: 122-128, 1988.
    • (1988) Eur. J. Operat. Res. , vol.36 , pp. 122-128
    • Judice, J.J.1    Mitra, G.2
  • 36
    • 0027627406 scopus 로고
    • Symmetric Galerkin boundary formulations employing curved elements
    • J.H. Kane and C. Balakrishna. Symmetric Galerkin boundary formulations employing curved elements, Int. J. Num. Meth. Engng., 36: 2157-2187, 1993.
    • (1993) Int. J. Num. Meth. Engng. , vol.36 , pp. 2157-2187
    • Kane, J.H.1    Balakrishna, C.2
  • 39
    • 0001415404 scopus 로고
    • Hypersingular boundary integral equations: Their occurrence, interpretation, regularization and computation
    • P.K. Banerjee, et. al., Elsevier, London
    • G. Krishnasamy, F.J. Rizzo and T.J. Rudolphi. Hypersingular boundary integral equations: their occurrence, interpretation, regularization and computation. In: P.K. Banerjee, et. al., Developments in Boundary Element Methods, Elsevier, London, 1991.
    • (1991) Developments in Boundary Element Methods
    • Krishnasamy, G.1    Rizzo, F.J.2    Rudolphi, T.J.3
  • 42
    • 0028315781 scopus 로고
    • Interface model applied to fracture of masonry structures
    • H.R. Lofti and P.B. Shing. Interface model applied to fracture of masonry structures, ASCE J. of Struct. Engng., 120: 63-80, 1994.
    • (1994) ASCE J. of Struct. Engng. , vol.120 , pp. 63-80
    • Lofti, H.R.1    Shing, P.B.2
  • 44
    • 0015051713 scopus 로고
    • Incremental plastic analysis in the presence of large displacements and physical instabilizing effects
    • G. Maier. Incremental plastic analysis in the presence of large displacements and physical instabilizing effects. Int. J. Solids Structures, 7: 345-372, 1971.
    • (1971) Int. J. Solids Structures , vol.7 , pp. 345-372
    • Maier, G.1
  • 45
    • 0018455002 scopus 로고
    • Nonassociated and coupled flow rules of elastoplasticity for rock-like materials
    • G. Maier and T. Hueckel. Nonassociated and coupled flow rules of elastoplasticity for rock-like materials, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 16: 77-92, 1979.
    • (1979) Int. J. Rock Mech. Min. Sci. & Geomech. Abstr. , vol.16 , pp. 77-92
    • Maier, G.1    Hueckel, T.2
  • 47
    • 0023289007 scopus 로고
    • A Galerkin approach to boundary element elastoplastic analysis
    • G. Maier and C. Polizzotto. A Galerkin approach to boundary element elastoplastic analysis, Comp. Meth. Appl. Mech. Engng., 60: 175-194, 1987.
    • (1987) Comp. Meth. Appl. Mech. Engng. , vol.60 , pp. 175-194
    • Maier, G.1    Polizzotto, C.2
  • 48
    • 0348027879 scopus 로고
    • Fracture, path bifurcations and instabilities in elastic-cohesive-softening models: A boundary element approach
    • J.G.M. Van Mier, J.G. Rots and A. Bakker. eds., E. & FM. Spon, London
    • G. Maier, Z. Cen, G. Novati and R. Tagliaferri. Fracture, path bifurcations and instabilities in elastic-cohesive-softening models: a boundary element approach. In: J.G.M. Van Mier, J.G. Rots and A. Bakker. eds., Fracture Processes in Concrete, Rock and Ceramics, E. & FM. Spon, London, 2: 561-570, 1991.
    • (1991) Fracture Processes in Concrete, Rock and Ceramics , vol.2 , pp. 561-570
    • Maier, G.1    Cen, Z.2    Novati, G.3    Tagliaferri, R.4
  • 49
    • 0009511177 scopus 로고
    • A Galerkin symmetric boundary element method in plasticity: Formulation and implementation
    • J.H. Kane, G. Maier, N. Tosaka and S.N. Atluri. eds., Springer Verlag, Berlin
    • G. Maier, S. Miccoli, G. Novati and S. Sirtori. A Galerkin symmetric boundary element method in plasticity: formulation and implementation. In: J.H. Kane, G. Maier, N. Tosaka and S.N. Atluri. eds., Advances in Boundary Elements Techniques, Springer Verlag, Berlin, 288-328, 1992.
    • (1992) Advances in Boundary Elements Techniques , pp. 288-328
    • Maier, G.1    Miccoli, S.2    Novati, G.3    Sirtori, S.4
  • 50
    • 0027696119 scopus 로고
    • Symmetric Galerkin boundary element method for quasi-brittle fracture and frictional contact problems
    • G. Maier, G. Novati and Z. Cen. Symmetric Galerkin boundary element method for quasi-brittle fracture and frictional contact problems, Computat. Mech., 13: 74-89, 1993.
    • (1993) Computat. Mech. , vol.13 , pp. 74-89
    • Maier, G.1    Novati, G.2    Cen, Z.3
  • 51
    • 0029486887 scopus 로고
    • Symmetric Galerkin boundary element method in plasticity and gradient plasticity
    • G. Maier, S. Miccoli, G. Novati and U. Perego. Symmetric Galerkin boundary element method in plasticity and gradient plasticity, Computat. Mech., 17: 115-129, 1995.
    • (1995) Computat. Mech. , vol.17 , pp. 115-129
    • Maier, G.1    Miccoli, S.2    Novati, G.3    Perego, U.4
  • 52
    • 0346851660 scopus 로고    scopus 로고
    • Quasi-brittle fracture mechanics by a symmetric Galerkin boundary element method
    • Karihaloo, B.L., Y.W. Mai, M.I. Ripley and R.O. Ritchie., Pergamon, Oxford
    • G. Maier and A. Frangi. Quasi-brittle fracture mechanics by a symmetric Galerkin boundary element method, in Karihaloo, B.L., Y.W. Mai, M.I. Ripley and R.O. Ritchie., Advances in Fracture Research, Pergamon, Oxford, 4: 1837-1848, 1997.
    • (1997) Advances in Fracture Research , vol.4 , pp. 1837-1848
    • Maier, G.1    Frangi, A.2
  • 53
    • 0028422932 scopus 로고
    • Numerical evaluation of hypersingular integrals
    • G. Monegato. Numerical evaluation of hypersingular integrals, J. Comp. Appl. Math., 50: 9-31, 1994.
    • (1994) J. Comp. Appl. Math. , vol.50 , pp. 9-31
    • Monegato, G.1
  • 54
    • 0008622131 scopus 로고
    • Bifurcation and instability of dissipative systems
    • Springer-Verlag
    • Q.S. Nguyen. Bifurcation and instability of dissipative systems, CISM, 327, 1993, Springer-Verlag.
    • (1993) CISM , pp. 327
    • Nguyen, Q.S.1
  • 55
    • 0000125481 scopus 로고
    • A regularized boundary integral equation method for elastodynamic crack problems
    • N. Nishimura and S. Kobayashi. A regularized boundary integral equation method for elastodynamic crack problems, Computat. Mech., 4: 319-328, 1989.
    • (1989) Computat. Mech. , vol.4 , pp. 319-328
    • Nishimura, N.1    Kobayashi, S.2
  • 56
    • 0024053088 scopus 로고
    • An energy approach to the boundary element method, part I: Elastic solids
    • C. Polizzotto. An energy approach to the boundary element method, part I: elastic solids, Comp. Meth. Appl. Mech. Engng., 69: 167-184, 1988.
    • (1988) Comp. Meth. Appl. Mech. Engng. , vol.69 , pp. 167-184
    • Polizzotto, C.1
  • 57
    • 0024067611 scopus 로고
    • An energy approach to the boundary element method,part II: Elastic-plastic solids
    • C. Polizzotto. An energy approach to the boundary element method,part II: elastic-plastic solids, Comp. Meth. Appl. Mech. Engng., 69: 263-276, 1988.
    • (1988) Comp. Meth. Appl. Mech. Engng. , vol.69 , pp. 263-276
    • Polizzotto, C.1
  • 58
    • 0018297939 scopus 로고
    • An incremental approach to the solution of snapping and buckling problems
    • E. Riks. An incremental approach to the solution of snapping and buckling problems, Int. J. Solids Structures, 15: 529-551, 1979.
    • (1979) Int. J. Solids Structures , vol.15 , pp. 529-551
    • Riks, E.1
  • 59
    • 0039520204 scopus 로고
    • A review of fracture mechanics applied to concrete dams
    • V.E. Saouma, E. Brühwiler and H.L. Boggs. A review of fracture mechanics applied to concrete dams, Dam Engng., 1: 41-57, 1990.
    • (1990) Dam Engng. , vol.1 , pp. 41-57
    • Saouma, V.E.1    Brühwiler, E.2    Boggs, H.L.3
  • 60
    • 0027148111 scopus 로고
    • On the numerical integration of interface elements
    • On the numerical integration of interface elements, Int. J. Num. Meth. Engng., 36: 43-66, 1993.
    • (1993) Int. J. Num. Meth. Engng. , vol.36 , pp. 43-66
  • 61
    • 0026905548 scopus 로고
    • A Galerkin symmetric boundary element method in elasticity: Formulation and implementation
    • S. Sirtori, G. Maier, G. Novati and S. Miccoli. A Galerkin symmetric boundary element method in elasticity: formulation and implementation, Int. J. Num Meth. Engng., 35: 255-282, 1992.
    • (1992) Int. J. Num Meth. Engng. , vol.35 , pp. 255-282
    • Sirtori, S.1    Maier, G.2    Novati, G.3    Miccoli, S.4
  • 62
    • 0027542646 scopus 로고
    • Fracture and slip of interface in cementitious composites
    • T. Stankowski, K. Runesson and S. Sture. Fracture and slip of interface in cementitious composites, ASCE J. of Engng. Mech. 119: 292-327, 1993.
    • (1993) ASCE J. of Engng. Mech. , vol.119 , pp. 292-327
    • Stankowski, T.1    Runesson, K.2    Sture, S.3
  • 63
    • 0002529064 scopus 로고    scopus 로고
    • Holonomic analysis of quasi-brittle fracture with nonlinear softening
    • B.L. Karihaloo, Y.W. Mai, M.I. Ripley and R.O. Ritchie. eds., Pergamon, Oxford
    • F.H. Tin-Loi and X. Ferris. Holonomic analysis of quasi-brittle fracture with nonlinear softening. In: B.L. Karihaloo, Y.W. Mai, M.I. Ripley and R.O. Ritchie. eds., Advances in Fracture Research, Pergamon, Oxford, 1997.
    • (1997) Advances in Fracture Research
    • Tin-Loi, F.H.1    Ferris, X.2
  • 64
    • 0026001795 scopus 로고
    • Mode I fracture of concrete: Discontinuous crack growth and crack interface grain bridging
    • J.G.M. van Mier. Mode I fracture of concrete: discontinuous crack growth and crack interface grain bridging, Cement and Concrete Resersch, 21: 1-15, 1991.
    • (1991) Cement and Concrete Resersch , vol.21 , pp. 1-15
    • Van Mier, J.G.M.1
  • 65
    • 0026221365 scopus 로고
    • Fracture process zone in cementitious materials
    • F.H. Wittman and X. Hu. Fracture process zone in cementitious materials, Int. Journal of Fracture, 51: 3-18, 1991.
    • (1991) Int. Journal of Fracture , vol.51 , pp. 3-18
    • Wittman, F.H.1    Hu, X.2
  • 66
    • 0028497372 scopus 로고
    • Numerical simulation of fast crack growth in brittle solids
    • X. Xu and A. Needleman. Numerical simulation of fast crack growth in brittle solids, J. Mech. Phys. Solids, 42: 1397-1434, 1994.
    • (1994) J. Mech. Phys. Solids , vol.42 , pp. 1397-1434
    • Xu, X.1    Needleman, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.