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Volumn 11, Issue 4, 2004, Pages 389-446

On the modeling of highly localized deformations induced by material failure: The strong discontinuity approach

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; CONCRETES; CRACKS; DEFORMATION; FINITE ELEMENT METHOD; INVERSE KINEMATICS; MATHEMATICAL MODELS; PROBLEM SOLVING; SHEAR DEFORMATION; STRUCTURES (BUILT OBJECTS); WEAR OF MATERIALS;

EID: 11044220415     PISSN: 11343060     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02736230     Document Type: Review
Times cited : (24)

References (150)
  • 2
    • 27744574041 scopus 로고
    • A general theory of uniqueness and stability in elastic-plastic solids
    • R. Hill (1958). A general theory of uniqueness and stability in elastic-plastic solids. Journal of the Mechanics and Physics of Solids, 6, 236-249.
    • (1958) Journal of the Mechanics and Physics of Solids , vol.6 , pp. 236-249
    • Hill, R.1
  • 3
    • 0001780939 scopus 로고
    • Conditions de stabilité et postulat de Drucker
    • Springer: Berlin
    • J. Mandel (1966). Conditions de stabilité et postulat de Drucker. In Proceedings of the IUTAM Symposium on Rheology, 58-68. Springer: Berlin.
    • (1966) Proceedings of the IUTAM Symposium on Rheology , pp. 58-68
    • Mandel, J.1
  • 5
    • 0016647841 scopus 로고
    • Conditions for localization of deformation in pressure-sensitive dilatant materials
    • J.W. Rudnicki and J.R. Rice (1975). Conditions for localization of deformation in pressure-sensitive dilatant materials. Journal of the Mechanics and Physics of Solids, 23, 371-394.
    • (1975) Journal of the Mechanics and Physics of Solids , vol.23 , pp. 371-394
    • Rudnicki, J.W.1    Rice, J.R.2
  • 6
    • 0019554768 scopus 로고
    • Bounds to bifurcation stresses in solids with non-associated plastic flow law at finite strains
    • B. Raniecki and O.T. Bruhns (1981). Bounds to bifurcation stresses in solids with non-associated plastic flow law at finite strains. Journal of the Mechanics and Physics of Solids, 29(2), 153-172.
    • (1981) Journal of the Mechanics and Physics of Solids , vol.29 , Issue.2 , pp. 153-172
    • Raniecki, B.1    Bruhns, O.T.2
  • 13
    • 0020750862 scopus 로고
    • Crack band theory for fracture of concrete
    • Z.P. Bažant and B.H. Oh (1983). Crack band theory for fracture of concrete. RILEM Materials & Structures, 16, 155-177.
    • (1983) RILEM Materials & Structures , vol.16 , pp. 155-177
    • Bažant, Z.P.1    Oh, B.H.2
  • 14
    • 0021660645 scopus 로고
    • Difficulties with current numerical models for reinforced concrete and some tentative solutions
    • F. Damjanicm, E. Hinton, D. R. J. Owen, N. Bićanic and V. Simovic, editors. Pineridge Press, Swansea
    • M. A. Crisfield (1984). Difficulties with current numerical models for reinforced concrete and some tentative solutions. In F. Damjanicm, E. Hinton, D. R. J. Owen, N. Bićanic and V. Simovic, editors, Int. Conf. on Computer-Aided Analysis and Design of Concrete Structures, pages 331-358. Pineridge Press, Swansea.
    • (1984) Int. Conf. on Computer-aided Analysis and Design of Concrete Structures , pp. 331-358
    • Crisfield, M.A.1
  • 15
    • 2342638208 scopus 로고
    • A constitutive model for cracking of concrete based on the incremental theory of plasticty
    • D. R. J. Owen, E. Hinton, and E. Oñate, editors. Pineridge Press, Swansea
    • E. Oñate, S. Oller, J. Oliver and J. Lubliner (1987). A constitutive model for cracking of concrete based on the incremental theory of plasticty. In D. R. J. Owen, E. Hinton, and E. Oñate, editors, Int. Conf. on Computational Plasticity, Models, Software and Applications, pages 1311-1330. Pineridge Press, Swansea.
    • (1987) Int. Conf. on Computational Plasticity, Models, Software and Applications , pp. 1311-1330
    • Oñate, E.1    Oller, S.2    Oliver, J.3    Lubliner, J.4
  • 20
    • 0024029187 scopus 로고
    • Nonlocal damage, localization, instability and convergence
    • Z.P. Bažant and G. Pijaudier-Cabot (1988). Nonlocal damage, localization, instability and convergence. Journal of Applied Mechanics, 55, 287-293.
    • (1988) Journal of Applied Mechanics , vol.55 , pp. 287-293
    • Bažant, Z.P.1    Pijaudier-Cabot, G.2
  • 22
    • 49949143801 scopus 로고
    • Elasticity theory of materials with long-range cohesive forces
    • Kröner E (1968). Elasticity theory of materials with long-range cohesive forces. International Journal for Solids and Structures, 3, 731-742.
    • (1968) International Journal for Solids and Structures , vol.3 , pp. 731-742
    • Kröner, E.1
  • 24
    • 0021502102 scopus 로고
    • On the microstructural origin of certain inelastic models
    • E.C. Aifantis (1984). On the microstructural origin of certain inelastic models. J. Eng. Mat. Tech., 106, 326-330.
    • (1984) J. Eng. Mat. Tech. , vol.106 , pp. 326-330
    • Aifantis, E.C.1
  • 27
    • 0026405799 scopus 로고
    • Simulation of strain localization: A reappraisal of the cosserat continuum
    • R. De Borst (1991). Simulation of strain localization: A reappraisal of the cosserat continuum. Engineering Computations, 8, 317-332.
    • (1991) Engineering Computations , vol.8 , pp. 317-332
    • De Borst, R.1
  • 28
    • 0038020698 scopus 로고
    • Localization within the framework of micropolar elasto-plasticity
    • V. Mannl, J. Najar, and O. Brüller, editors. Springer, Berlin-Heidelberg
    • P. Steinmann and K.J. Willam (1991). Localization within the framework of micropolar elasto-plasticity. In V. Mannl, J. Najar, and O. Brüller, editors, Advances in continuum mechanics, pages 296-313. Springer, Berlin-Heidelberg.
    • (1991) Advances in Continuum Mechanics , pp. 296-313
    • Steinmann, P.1    Willam, K.J.2
  • 29
    • 33645016262 scopus 로고
    • Fundamental problems in viscoplasticity
    • P. Perzyna (1966). Fundamental problems in viscoplasticity. Adv. Appl. Mech., 9, 243-377.
    • (1966) Adv. Appl. Mech. , vol.9 , pp. 243-377
    • Perzyna, P.1
  • 31
    • 34250076312 scopus 로고
    • An analysis of strong discontinuities induced by strain softening in rate-independent inelastic solids
    • J.C. Simo, J. Oliver and F. Armero (1993). An analysis of strong discontinuities induced by strain softening in rate-independent inelastic solids. Computational Mechanics, 12, 277-296.
    • (1993) Computational Mechanics , vol.12 , pp. 277-296
    • Simo, J.C.1    Oliver, J.2    Armero, F.3
  • 32
    • 0032496865 scopus 로고    scopus 로고
    • A study of strain localization in a multiple scale framework - The one-dimensional problem
    • K. Garikipati and T.J.R. Hughes (1998). A study of strain localization in a multiple scale framework - the one-dimensional problem. Computer Methods in Applied Mechanics and Engineering, 159(3-4), 193-222.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.159 , Issue.3-4 , pp. 193-222
    • Garikipati, K.1    Hughes, T.J.R.2
  • 33
    • 0033100168 scopus 로고    scopus 로고
    • Large-scale modeling of localized dissipative mechanisms in a local continuum: Applications to the numerical simulation of strain localization in rate-dependent inelastic solids
    • F. Armero (1999). Large-scale modeling of localized dissipative mechanisms in a local continuum: applications to the numerical simulation of strain localization in rate-dependent inelastic solids. Mechanics of Cohesive-Frictional Materials, 4, 101-131.
    • (1999) Mechanics of Cohesive-frictional Materials , vol.4 , pp. 101-131
    • Armero, F.1
  • 35
    • 0033076749 scopus 로고    scopus 로고
    • Nonconvex energy minimisation and dislocation in ductile single crystals
    • M. Ortiz and E.A. Repetto (1999). Nonconvex energy minimisation and dislocation in ductile single crystals. J. Mech. Phys. Solids, 47, 397-462.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 397-462
    • Ortiz, M.1    Repetto, E.A.2
  • 36
    • 67049125713 scopus 로고    scopus 로고
    • Non-convex potentials and microstructures in finite-strain plasticity
    • C. Carstensen, K. Hackl and A. Mielke (2002). Non-convex potentials and microstructures in finite-strain plasticity. Proc. R. Soc. Lond. A, 458, 299-317.
    • (2002) Proc. R. Soc. Lond. A , vol.458 , pp. 299-317
    • Carstensen, C.1    Hackl, K.2    Mielke, A.3
  • 37
    • 0042902231 scopus 로고    scopus 로고
    • Analysis of micro-structure development in shear-bands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative materials
    • C. Miehe and M. Lambrecht (2003). Analysis of micro-structure development in shear-bands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative materials. International Journal for Numerical Methods in Engineering, 58, 1-41.
    • (2003) International Journal for Numerical Methods in Engineering , vol.58 , pp. 1-41
    • Miehe, C.1    Lambrecht, M.2
  • 38
    • 0000879152 scopus 로고
    • Existence theorems for plasticity problems
    • C. Johnson (1976). Existence theorems for plasticity problems. J. Math. Pures et Appliquées, 55, 431-444.
    • (1976) J. Math. Pures et Appliquées , vol.55 , pp. 431-444
    • Johnson, C.1
  • 39
    • 0001852983 scopus 로고
    • Existence and regularity of solutions for plasticity problems
    • P.M. Suquet (1978). Existence and regularity of solutions for plasticity problems. In Variational methods in the mechanics of solids, pages 304-309.
    • (1978) Variational Methods in the Mechanics of Solids , pp. 304-309
    • Suquet, P.M.1
  • 40
    • 0043246408 scopus 로고
    • A finite element method for problems in perfect plasticity using discontinuous trial functions
    • W. Wunderlich, E. Stein, and K.J Bathe, editors
    • C. Johnson and R. Scott (1981). A finite element method for problems in perfect plasticity using discontinuous trial functions. In W. Wunderlich, E. Stein, and K.J Bathe, editors, Nonlinear finite element analysis in structural mechanics, pages 307-324.
    • (1981) Nonlinear Finite Element Analysis in Structural Mechanics , pp. 307-324
    • Johnson, C.1    Scott, R.2
  • 41
    • 0002748188 scopus 로고
    • The saddle point of a differential program
    • Glowinski, Robin, and Zienkiewicz, editors. J. Wiley and sons: London
    • H. Matthies, G. Strang and E. Christiansen (1979). The saddle point of a differential program. In Glowinski, Robin, and Zienkiewicz, editors, Energy methods in finite element analysis, pages 309-318. J. Wiley and sons: London.
    • (1979) Energy Methods in Finite Element Analysis , pp. 309-318
    • Matthies, H.1    Strang, G.2    Christiansen, E.3
  • 43
    • 77649193465 scopus 로고
    • The mathematical theory of equilibrium cracks in brittle fracture
    • G.I. Barenblatt (1962). The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech., 7, 55-129.
    • (1962) Adv. Appl. Mech. , vol.7 , Issue.5 , pp. 5-129
    • Barenblatt, G.I.1
  • 45
    • 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 (1976). Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Research, 6, 773-782.
    • (1976) Cement and Concrete Research , vol.6 , pp. 773-782
    • Hillerborg, A.1    Modeer, M.2    Petersson, P.E.3
  • 46
    • 0026224358 scopus 로고
    • A simple formulation of a dilatant joint element governed by Coulomb friction
    • M. F. Snyman, W. W. Bird and J. B. Martin (1991). A simple formulation of a dilatant joint element governed by Coulomb friction. Engineering Computations, 8, 215-229.
    • (1991) Engineering Computations , vol.8 , pp. 215-229
    • Snyman, M.F.1    Bird, W.W.2    Martin, J.B.3
  • 48
    • 0028422754 scopus 로고
    • Post-critical discontinuous analysis of small-strain softening elastoplastic solids
    • C. Miehe and J. Schröder (1994). Post-critical discontinuous analysis of small-strain softening elastoplastic solids. Archive of Applied Mechanics, 64, 267-285.
    • (1994) Archive of Applied Mechanics , vol.64 , pp. 267-285
    • Miehe, C.1    Schröder, J.2
  • 49
    • 0033193678 scopus 로고    scopus 로고
    • A new joint element for the analysis of media having discrete discontinuities
    • L.S. Lee and G.N. Pande (1999). A new joint element for the analysis of media having discrete discontinuities. Mechanics of Cohesive-Frictional Materials, 4, 487-504.
    • (1999) Mechanics of Cohesive-frictional Materials , vol.4 , pp. 487-504
    • Lee, L.S.1    Pande, G.N.2
  • 51
    • 0025473074 scopus 로고
    • Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions
    • E.N. Dvorkin, A. M. Cuitiño and G. Gioia (1990). Finite elements with displacement interpolated embedded localization lines insensitive to mesh size and distortions. International Journal for Numerical Methods in Engineering, 30, 541-564.
    • (1990) International Journal for Numerical Methods in Engineering , vol.30 , pp. 541-564
    • Dvorkin, E.N.1    Cuitiño, A.M.2    Gioia, G.3
  • 53
    • 0000608857 scopus 로고
    • Inner softening bands: A new approach to localization in finite elements
    • H. Mang, N. Bićanić, and R. de Borst, editors. Pineridge press
    • T. Olofsson, M. Klisinski and P. Nedar (1994). Inner softening bands: A new approach to localization in finite elements. In H. Mang, N. Bićanić, and R. de Borst, editors, Computational Modelling of Concrete Struct., pages 373-382. Pineridge press.
    • (1994) Computational Modelling of Concrete Struct. , pp. 373-382
    • Olofsson, T.1    Klisinski, M.2    Nedar, P.3
  • 54
    • 0010296445 scopus 로고
    • Mixed mode cracking of concrete modelled by inner softening band
    • D.R.J. Owen, E Oñate and E. Hinton (Eds.)
    • M. Klisinski, T. Olofsson and R. Tano (1995). Mixed mode cracking of concrete modelled by inner softening band. In D.R.J. Owen, E Oñate and E. Hinton (Eds.), Proc., 4th Int. Conf. Computational Plasticity, Volume 2, pages 1595-1606.
    • (1995) Proc., 4th Int. Conf. Computational Plasticity , vol.2 , pp. 1595-1606
    • Klisinski, M.1    Olofsson, T.2    Tano, R.3
  • 56
    • 0026867998 scopus 로고
    • Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
    • J.C. Simo and F. Armero (1992). Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. International Journal for Numerical Methods in Engineering, 33, 1413-1449.
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 1413-1449
    • Simo, J.C.1    Armero, F.2
  • 58
  • 61
    • 0007626442 scopus 로고
    • Modelling strong discontinuities in solid mechanics by means of strain softening constitutive equations
    • H. Mang, N. Bićanić and R. de Borst (Eds.), Pineridge press
    • J. Oliver and J.C. Simo (1994). Modelling strong discontinuities in solid mechanics by means of strain softening constitutive equations. In H. Mang, N. Bićanić and R. de Borst (Eds.), Computational Modelling of concrete structures, pages 363-372. Pineridge press.
    • (1994) Computational Modelling of Concrete Structures , pp. 363-372
    • Oliver, J.1    Simo, J.C.2
  • 62
    • 0038607949 scopus 로고
    • Continuum modelling of strong discontinuities in solid mechanics
    • D.R.J. Owen, E Oñate and E. Hinton (Eds.)
    • J. Oliver (1995). Continuum modelling of strong discontinuities in solid mechanics. In D.R.J. Owen, E Oñate and E. Hinton (Eds.), Proc., 4th Int. Conf. Computational Plasticity, Volume 1, pages 455-479.
    • (1995) Proc., 4th Int. Conf. Computational Plasticity , vol.1 , pp. 455-479
    • Oliver, J.1
  • 63
    • 0029543980 scopus 로고
    • Continuum modelling of strong discontinuities in solid mechanics using damage models
    • J. Oliver (1995). Continuum modelling of strong discontinuities in solid mechanics using damage models. Computational Mechanics, 17 (1-2), 49-61.
    • (1995) Computational Mechanics , vol.17 , Issue.1-2 , pp. 49-61
    • Oliver, J.1
  • 65
    • 11044232056 scopus 로고    scopus 로고
    • A novel algorithmic framework for the numerical implementation of locally embedded strong discontinuities
    • accepted
    • J. Mosler (2004). A novel algorithmic framework for the numerical implementation of locally embedded strong discontinuities. Computer Methods in Applied Mechanics and Engineering, accepted.
    • (2004) Computer Methods in Applied Mechanics and Engineering
    • Mosler, J.1
  • 66
    • 0002933316 scopus 로고
    • A new approach to the analysis and simulation of strain softening in solids
    • Z.P. Bažant, Z. Bittnar, M. Jirásek and J. Mazars (Eds.). E. &F.N. Spon, London
    • J.C. Simo and J. Oliver (1994). A new approach to the analysis and simulation of strain softening in solids. In Z.P. Bažant, Z. Bittnar, M. Jirásek and J. Mazars (Eds.), Fracture and Damage in Quasibrittle Structures, pages 25-39. E. &F.N. Spon, London.
    • (1994) Fracture and Damage in Quasibrittle Structures , pp. 25-39
    • Simo, J.C.1    Oliver, J.2
  • 67
    • 0003061181 scopus 로고
    • Recent advances in the analysis and numerical simulation of strain localization in inelastic solids
    • D.R.J. Owen, E Oñate and E. Hinton (Eds.)
    • F. Armero and K. Garikipati (1995). Recent advances in the analysis and numerical simulation of strain localization in inelastic solids. In D.R.J. Owen, E Oñate and E. Hinton (Eds.), Proc., 4th Int. Conf. Computational Plasticity, Volume 1, pages 547-561.
    • (1995) Proc., 4th Int. Conf. Computational Plasticity , vol.1 , pp. 547-561
    • Armero, F.1    Garikipati, K.2
  • 68
    • 0041174402 scopus 로고
    • Embedded localization band based on regularized strong discontinuity
    • D.R.J. Owen, E Oñate and E. Hinton (Eds.)
    • L. Larsson, K. Runesson and M. Åkesson (1995). Embedded localization band based on regularized strong discontinuity. In D.R.J. Owen, E Oñate and E. Hinton (Eds.), Proc., 4th Int. Conf. Computational Plasticity, Volume 1, pages 599-610.
    • (1995) Proc., 4th Int. Conf. Computational Plasticity , vol.1 , pp. 599-610
    • Larsson, L.1    Runesson, K.2    Åkesson, M.3
  • 69
    • 0000285768 scopus 로고    scopus 로고
    • Element-embedded localization band based on regularized displacement discontinuity
    • R. Larrson and K. Runesson (1996). Element-embedded localization band based on regularized displacement discontinuity. Journal of Engineering Mechanics (ASCE), 122, 402-411.
    • (1996) Journal of Engineering Mechanics (ASCE) , vol.122 , pp. 402-411
    • Larrson, R.1    Runesson, K.2
  • 70
    • 0030294819 scopus 로고    scopus 로고
    • Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: Fundamentals. Part 2: Numerical simulations
    • J. Oliver (1996). Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 1: Fundamentals. Part 2: Numerical simulations. International Journal for Numerical Methods in Engineering, 39, 3575-3623.
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , pp. 3575-3623
    • Oliver, J.1
  • 75
    • 0041629180 scopus 로고    scopus 로고
    • 3D modeling of strong discontinuities in elasto-plastic solids: Fixed and rotating localization formulations
    • J. Mosler and G. Meschke (2003). 3D modeling of strong discontinuities in elasto-plastic solids: Fixed and rotating localization formulations. International Journal for Numerical Methods in Engineering, 57, 1553-1576.
    • (2003) International Journal for Numerical Methods in Engineering , vol.57 , pp. 1553-1576
    • Mosler, J.1    Meschke, G.2
  • 80
  • 82
    • 0030216527 scopus 로고    scopus 로고
    • An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids
    • F. Armero and K. Garikipati (1996). An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids. International Journal for Solids and Structures, 33, 2863-2885.
    • (1996) International Journal for Solids and Structures , vol.33 , pp. 2863-2885
    • Armero, F.1    Garikipati, K.2
  • 84
    • 0030207189 scopus 로고    scopus 로고
    • Embedded localization band in undrained soil based on regularized strong discontinuity-theory and fe-analysis
    • R. Larsson, K. Runesson and S. Sture (1996). Embedded localization band in undrained soil based on regularized strong discontinuity-theory and fe-analysis. International Journal for Solids and Structures, 33, 3081-3101.
    • (1996) International Journal for Solids and Structures , vol.33 , pp. 3081-3101
    • Larsson, R.1    Runesson, K.2    Sture, S.3
  • 85
    • 0033097234 scopus 로고    scopus 로고
    • Finite element embedded localization band for finite strain plasticity based on a regularized strong discontinuity
    • R. Larsson, P. Steinmann and K. Runesson (1998). Finite element embedded localization band for finite strain plasticity based on a regularized strong discontinuity. Mechanics of Cohesive-Frictional Materials, 4, 171-194.
    • (1998) Mechanics of Cohesive-frictional Materials , vol.4 , pp. 171-194
    • Larsson, R.1    Steinmann, P.2    Runesson, K.3
  • 86
    • 0002521081 scopus 로고    scopus 로고
    • On the use of j2 plasticity models for the simulation of 2d strong discontinuities
    • D.R.J. Owen, E. Oñate, and E. Hinton, editors
    • J. Oliver, M. Cervera and O. Manzoli (1997). On the use of j2 plasticity models for the simulation of 2d strong discontinuities. In D.R.J. Owen, E. Oñate, and E. Hinton, editors, Computational Plasticity, Volume 1, pages 38-55.
    • (1997) Computational Plasticity , vol.1 , pp. 38-55
    • Oliver, J.1    Cervera, M.2    Manzoli, O.3
  • 87
    • 0032668820 scopus 로고    scopus 로고
    • Strong discontinuities and continuum plasticity models: The strong discontinuity approach
    • J. Oliver, M. Cervera and O. Manzoli (1999). Strong discontinuities and continuum plasticity models: The strong discontinuity approach. International Journal of Plasticity, 15, 319-351.
    • (1999) International Journal of Plasticity , vol.15 , pp. 319-351
    • Oliver, J.1    Cervera, M.2    Manzoli, O.3
  • 89
  • 92
    • 0042144963 scopus 로고    scopus 로고
    • Localized anisotropic damage of brittle materials
    • D.R.J. Owen, E. Oñate, and E. Hinton, editors
    • F. Armero (1997). Localized anisotropic damage of brittle materials. In D.R.J. Owen, E. Oñate, and E. Hinton, editors, Computational Plasticity, Volume 1, pages 635-640.
    • (1997) Computational Plasticity , vol.1 , pp. 635-640
    • Armero, F.1
  • 94
    • 0033570674 scopus 로고    scopus 로고
    • A finite element method of localized deformation in frictional materials taking a strong discontinuity approach
    • A.R. Regueiro and R.I. Borja (1999). A finite element method of localized deformation in frictional materials taking a strong discontinuity approach. Finite Elements in Analysis and Design, 33, 283-315.
    • (1999) Finite Elements in Analysis and Design , vol.33 , pp. 283-315
    • Regueiro, A.R.1    Borja, R.I.2
  • 95
    • 0037177657 scopus 로고    scopus 로고
    • Finite element simulation of strain localization with large deformation: Capturing strong discontinuity using a Petrov-Galerkin multiscale formulation
    • R.I. Borja (2002). Finite element simulation of strain localization with large deformation: capturing strong discontinuity using a Petrov-Galerkin multiscale formulation. Computer Methods in Applied Mechanics and Engineering, 191, 2949-2978.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 2949-2978
    • Borja, R.I.1
  • 96
    • 0034325856 scopus 로고    scopus 로고
    • On the discrete constitutive models induced by strong discontinuity kinematics and continuum equations
    • J. Oliver (2000). On the discrete constitutive models induced by strong discontinuity kinematics and continuum equations. International Journal for Solids and Structures, 37, 7207-7229.
    • (2000) International Journal for Solids and Structures , vol.37 , pp. 7207-7229
    • Oliver, J.1
  • 97
    • 0003457345 scopus 로고    scopus 로고
    • Maxwell Macmillan International Edition
    • J. Lubliner (1997). Plasticity theory. Maxwell Macmillan International Edition.
    • (1997) Plasticity Theory
    • Lubliner, J.1
  • 98
    • 0000962814 scopus 로고    scopus 로고
    • Numerical analysis of classical plasticity
    • In P.G. Ciarlet and J.J. Lions (Eds.). Elsevier, Amsterdam
    • J.C. Simo (1998). Numerical analysis of classical plasticity. In P.G. Ciarlet and J.J. Lions (Eds.), Handbook for numerical analysis, volume IV. Elsevier, Amsterdam.
    • (1998) Handbook for Numerical Analysis , vol.4
    • Simo, J.C.1
  • 99
    • 0015357733 scopus 로고
    • On the thermodynamic foundations of non-linear solid mechanics
    • J. Lubliner (1972). On the thermodynamic foundations of non-linear solid mechanics. International Journal of Non-Linear Mechanics, 7, 237-254.
    • (1972) International Journal of Non-linear Mechanics , vol.7 , pp. 237-254
    • Lubliner, J.1
  • 100
    • 84893458625 scopus 로고    scopus 로고
    • On advanced solution strategies to overcome locking effects in strong discontinuity approaches
    • Submitted to
    • J. Mosler (2004). On advanced solution strategies to overcome locking effects in strong discontinuity approaches. Submitted to International Journal for Numerical Methods in Engineering.
    • (2004) International Journal for Numerical Methods in Engineering
    • Mosler, J.1
  • 101
    • 0035941146 scopus 로고    scopus 로고
    • On the characterization of localized solutions in inelastic solids: An analysis of wave propagation in a softening bar
    • F. Armero (2001). On the characterization of localized solutions in inelastic solids: An analysis of wave propagation in a softening bar. Computer Methods in Applied Mechanics and Engineering, 191, 181-213.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 181-213
    • Armero, F.1
  • 102
    • 0021863318 scopus 로고
    • A continuous damage mechanics model for ductile fractue
    • J. Lemaître (1983). A continuous damage mechanics model for ductile fractue. J. Eng. Mat. & Techn., 107, 83-89.
    • (1983) J. Eng. Mat. & Techn. , vol.107 , pp. 83-89
    • Lemaître, J.1
  • 105
    • 11044238641 scopus 로고    scopus 로고
    • On the efficient implementation of an elastoplastic damage model for large-scale analyses of material failure: A multiscale approach
    • In press
    • J. Mosler (2004). On the efficient implementation of an elastoplastic damage model for large-scale analyses of material failure: A multiscale approach. Computers & Structures. In press.
    • (2004) Computers & Structures
    • Mosler, J.1
  • 106
    • 0031469222 scopus 로고    scopus 로고
    • Mixed-mode fracture and anchor bolts in concrete: Analysis with inner softening bands
    • U. Ohlsson and T. Olofsson (1997). Mixed-mode fracture and anchor bolts in concrete: Analysis with inner softening bands. Journal of Engineering Mechanics (ASCE), 123, 1027-1033.
    • (1997) Journal of Engineering Mechanics (ASCE) , vol.123 , pp. 1027-1033
    • Ohlsson, U.1    Olofsson, T.2
  • 107
    • 0005394838 scopus 로고    scopus 로고
    • Stress locking in the inner softening band method: A study of the origin and how to reduce the effects
    • R. de Borst, N. Bićanić, H. Mang, and G. Meschke, editors
    • R. Tano, M. Klisinski and Th. Olofsson (1998). Stress locking in the inner softening band method: A study of the origin and how to reduce the effects. In R. de Borst, N. Bićanić, H. Mang, and G. Meschke, editors, Computational Modelling of Concrete Structures, EURO C-98, volume 1, pages 329-335.
    • (1998) Computational Modelling of Concrete Structures, EURO C-98 , vol.1 , pp. 329-335
    • Tano, R.1    Klisinski, M.2    Olofsson, Th.3
  • 108
    • 34250963757 scopus 로고
    • The thermodynamics of elastic materials with heatconduction and viscosity
    • B.D. Coleman and W. Noll (1963). The thermodynamics of elastic materials with heatconduction and viscosity. Archive for Rational Mechanics and Analysis, 13, 167-178.
    • (1963) Archive for Rational Mechanics and Analysis , vol.13 , pp. 167-178
    • Coleman, B.D.1    Noll, W.2
  • 109
    • 11044225005 scopus 로고    scopus 로고
    • Variational multisymplectic formulations of nonsmooth continuum mechanics
    • E. Kaplan, J.E. Marsden and K.R. Sreenivasan (Eds.). Springer-Verlag
    • R.C. Fetecau, J.E. Marsden and M. West (2003). Variational multisymplectic formulations of nonsmooth continuum mechanics. In E. Kaplan, J.E. Marsden and K.R. Sreenivasan (Eds.), Perspectives and Problems in Nonlinear Science, pages 229-261. Springer-Verlag.
    • (2003) Perspectives and Problems in Nonlinear Science , pp. 229-261
    • Fetecau, R.C.1    Marsden, J.E.2    West, M.3
  • 110
    • 0001102937 scopus 로고
    • The localization of plastic deformation
    • North-Holland
    • J.R. Rice (1976). The localization of plastic deformation. In Theoretical and Applied Mechanics, pages 207-220. North-Holland.
    • (1976) Theoretical and Applied Mechanics , pp. 207-220
    • Rice, J.R.1
  • 111
    • 0018455002 scopus 로고
    • Nonassociated and coupled flow rules of elastoplasticity for rock-like materials
    • G. Maier and T. Hueckel (1979). Nonassociated and coupled flow rules of elastoplasticity for rock-like materials. Int. J. Rock Mech. Min. Science, 16, 77-92.
    • (1979) Int. J. Rock Mech. Min. Science , vol.16 , pp. 77-92
    • Maier, G.1    Hueckel, T.2
  • 112
    • 0016496140 scopus 로고
    • An energy release rate criterion for mixed mode fracture
    • R. Nuismer (1975). An energy release rate criterion for mixed mode fracture. International Journal of Fracture, 11, 245-250.
    • (1975) International Journal of Fracture , vol.11 , pp. 245-250
    • Nuismer, R.1
  • 113
    • 0016101548 scopus 로고
    • Strain-energy-density factor applied to mixed-mode crack problems
    • G. Sih (1974). Strain-energy-density factor applied to mixed-mode crack problems. International Journal of Fracture, 10, 305-321.
    • (1974) International Journal of Fracture , vol.10 , pp. 305-321
    • Sih, G.1
  • 114
    • 85007836717 scopus 로고
    • On the crack extension in plates under plane loading and transverse shear
    • F. Erdogan and G. Sih (1963). On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering, 85, 519-527.
    • (1963) Journal of Basic Engineering , vol.85 , pp. 519-527
    • Erdogan, F.1    Sih, G.2
  • 115
    • 0030291896 scopus 로고    scopus 로고
    • Experimental monitoring of strain localization and failure behaviour of composite materials
    • M.G.D. Geers, T. Peijs, R. Brekelmans and W.A.M. de Borst (1996). Experimental monitoring of strain localization and failure behaviour of composite materials. Composite Science Technology, 56, 1283-1290.
    • (1996) Composite Science Technology , vol.56 , pp. 1283-1290
    • Geers, M.G.D.1    Peijs, T.2    Brekelmans, R.3    De Borst, W.A.M.4
  • 116
    • 0141792679 scopus 로고    scopus 로고
    • From continuous to discontinuous failure in a gradient-enhanced continuum damage model
    • A. Simone, G.N. Wells and L. Sluys (2003). From continuous to discontinuous failure in a gradient-enhanced continuum damage model. Computer Methods in Applied Mechanics and Engineering, 192, 4581-4607.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 4581-4607
    • Simone, A.1    Wells, G.N.2    Sluys, L.3
  • 117
    • 11044235459 scopus 로고    scopus 로고
    • The strong discontinuity approach: An overview
    • X. Oliver (1998). The strong discontinuity approach: An overview. Computational Mechanics, pages 1-19.
    • (1998) Computational Mechanics , pp. 1-19
    • Oliver, X.1
  • 118
    • 0037045083 scopus 로고    scopus 로고
    • Bifurcation of elastoplastic solids to shear mode at finite strains
    • R.I. Borja (2002). Bifurcation of elastoplastic solids to shear mode at finite strains. Computer Methods in Applied Mechanics and Engineering, 191, 5287-5314.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 5287-5314
    • Borja, R.I.1
  • 119
    • 0033099462 scopus 로고    scopus 로고
    • A finite element formulation for strong discontinuities in fluid-saturated porous media
    • P. Steinmann (1999). A finite element formulation for strong discontinuities in fluid-saturated porous media. Mechanics of Cohesive-Frictional Materials, 4, 133-152.
    • (1999) Mechanics of Cohesive-frictional Materials , vol.4 , pp. 133-152
    • Steinmann, P.1
  • 121
    • 0034293933 scopus 로고    scopus 로고
    • Localization analysis of a fluid-saturated elastoplastic porous medium using regularized discontinuities
    • J. Larsson and R. Larsson (2000). Localization analysis of a fluid-saturated elastoplastic porous medium using regularized discontinuities. Mechanics of Cohesive-Frictional Materials, 5, 565-582.
    • (2000) Mechanics of Cohesive-frictional Materials , vol.5 , pp. 565-582
    • Larsson, J.1    Larsson, R.2
  • 122
    • 0037200464 scopus 로고    scopus 로고
    • Finite element methods for the analysis of strong discontinuities in coupled poro-plastic media
    • C. Callari and F. Armero (2002). Finite element methods for the analysis of strong discontinuities in coupled poro-plastic media. Computer Methods in Applied Mechanics and Engineering, 191, 4371-4400.
    • (2002) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 4371-4400
    • Callari, C.1    Armero, F.2
  • 123
    • 0031104231 scopus 로고    scopus 로고
    • On the localization properties of multiplicative hyperelasto-plastic continua with strong discontinuities
    • P. Steinmann, R. Larsson and K. Runesson (1997). On the localization properties of multiplicative hyperelasto-plastic continua with strong discontinuities. International Journal for Solids and Structures, 34, 969-990.
    • (1997) International Journal for Solids and Structures , vol.34 , pp. 969-990
    • Steinmann, P.1    Larsson, R.2    Runesson, K.3
  • 124
    • 0025887956 scopus 로고
    • Discontinuous bifurcations of elastic-plastic solutions at plane stress and plane strain
    • K. Runesson, N.S. Ottosen and D. Perić (1991). Discontinuous bifurcations of elastic-plastic solutions at plane stress and plane strain. International Journal of Plasticity, 7, 99-121.
    • (1991) International Journal of Plasticity , vol.7 , pp. 99-121
    • Runesson, K.1    Ottosen, N.S.2    Perić, D.3
  • 125
    • 0025852818 scopus 로고
    • Properties of discontinuous bifurcation solutions in elasto-plasticity
    • N.S. Ottosen and K. Runesson (1990). Properties of discontinuous bifurcation solutions in elasto-plasticity. International Journal for Solids and Structures, 27 (4), 401-421.
    • (1990) International Journal for Solids and Structures , vol.27 , Issue.4 , pp. 401-421
    • Ottosen, N.S.1    Runesson, K.2
  • 126
    • 0029289782 scopus 로고
    • Localization analysis of elastic degradation with application to scalar damage
    • E. Rizzi, I. Carol and K. Willam (1995). Localization analysis of elastic degradation with application to scalar damage. Journal of Engineering Mechanics (ASCE), 121, 541-554.
    • (1995) Journal of Engineering Mechanics (ASCE) , vol.121 , pp. 541-554
    • Rizzi, E.1    Carol, I.2    Willam, K.3
  • 127
    • 0023361861 scopus 로고
    • An analytical study of the localized failure modes of concrete
    • M. Ortiz (1987). An analytical study of the localized failure modes of concrete. Mechanics of Materials, 6, 159-174.
    • (1987) Mechanics of Materials , vol.6 , pp. 159-174
    • Ortiz, M.1
  • 128
    • 0029484914 scopus 로고
    • Instability phenomena in plastictity: Modelling and computation
    • E. Stein, P. Steinmann and C. Miehe (1995). Instability phenomena in plastictity: Modelling and computation. Computational Mechanics, 17, 74-87.
    • (1995) Computational Mechanics , vol.17 , pp. 74-87
    • Stein, E.1    Steinmann, P.2    Miehe, C.3
  • 132
    • 0041295094 scopus 로고    scopus 로고
    • Localized failure modes in cohesive-frictional materials
    • Structural Engineering and Structural Mechanics research series, Department of civil, environmental & architectural engineering, University of Colorado at Boulder
    • M.M. Iordache and K. Willam (1996). Localized failure modes in cohesive-frictional materials. Technical report, Structural Engineering and Structural Mechanics research series, Department of civil, environmental & architectural engineering, University of Colorado at Boulder.
    • (1996) Technical Report
    • Iordache, M.M.1    Willam, K.2
  • 133
    • 11044234372 scopus 로고    scopus 로고
    • An extension of the microplane model for the modeling of anisotropic elasticity and damage for particle based recycling materials
    • CIMNE, Barcelona
    • D. Kuhl, S. Müller and G. Meschke (2001). An extension of the microplane model for the modeling of anisotropic elasticity and damage for particle based recycling materials. In Trends in Computational Structural Mechanics, CIMNE, Barcelona.
    • (2001) Trends in Computational Structural Mechanics
    • Kuhl, D.1    Müller, S.2    Meschke, G.3
  • 134
    • 0034509464 scopus 로고    scopus 로고
    • A finite element model for strain localization analysis of strongly discontinuous fields based on standard galerkin approximation
    • R.I. Borja (2000). A finite element model for strain localization analysis of strongly discontinuous fields based on standard galerkin approximation. Computer Methods in Applied Mechanics and Engineering, 190, 1529-1549.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 1529-1549
    • Borja, R.I.1
  • 137
  • 138
    • 11044227429 scopus 로고    scopus 로고
    • Computational fracture analysis of concrete gravity dams towards engineering evaluation of seismic safety
    • R. De Borst, J. Mazars, G. Pijaudier-Cabot, and J.G.M. Van Mier, editors
    • H. Horii and S.-C. Chen (2001). Computational fracture analysis of concrete gravity dams towards engineering evaluation of seismic safety. In R. De Borst, J. Mazars, G. Pijaudier-Cabot, and J.G.M. Van Mier, editors, FRActure Mechanics of COncrete Structures IV, Volume 2, pages 941-947.
    • (2001) FRActure Mechanics of COncrete Structures IV , vol.2 , pp. 941-947
    • Horii, H.1    Chen, S.-C.2
  • 140
    • 0043146952 scopus 로고    scopus 로고
    • Analysis of mode I failure in brittle materials using the strong discontinuity approach with higher order elements
    • Cracow, Poland
    • J. Mosler and G. Meschke (2001). Analysis of mode I failure in brittle materials using the strong discontinuity approach with higher order elements. In 2. European Congress on Computational Mechanics, Cracow, Poland.
    • (2001) 2. European Congress on Computational Mechanics
    • Mosler, J.1    Meschke, G.2
  • 141
    • 2042500692 scopus 로고    scopus 로고
    • Application of continuum laws in discontinuity analysis based on a regularized displacement discontinuity
    • G.N. Wells and L.J. Sluys (1999). Application of continuum laws in discontinuity analysis based on a regularized displacement discontinuity. In European Conference on Computational Mechanics 1999, pages 404-420.
    • (1999) European Conference on Computational Mechanics 1999 , pp. 404-420
    • Wells, G.N.1    Sluys, L.J.2
  • 143
    • 33846983125 scopus 로고    scopus 로고
    • Advanced discretisation methods for cracked structures: The strong discontinuity approach vs. the extended finite element method
    • E. Onate D.R.J. Owen and B. Suaŕez (Eds.), CIMNE, COMPLAS 2003, Barcelona. CD-ROM
    • P. Dumstorff, J. Mosler and G. Meschke (2003). Advanced discretisation methods for cracked structures: The strong discontinuity approach vs. the extended finite element method. In E. Onate D.R.J. Owen and B. Suaŕez (Eds.), Computational Plasticity VII, page 89, CIMNE, COMPLAS 2003, Barcelona. CD-ROM.
    • (2003) Computational Plasticity VII , pp. 89
    • Dumstorff, P.1    Mosler, J.2    Meschke, G.3
  • 144
    • 0024878186 scopus 로고
    • Crack models for concrete: Discrete or smeared ? Fixed, multi-directional or rotating ?
    • J.G. Rots and J. Blaauwendraad (1989). Crack models for concrete: Discrete or smeared ? Fixed, multi-directional or rotating ? Heron, 34 (1).
    • (1989) Heron , vol.34 , Issue.1
    • Rots, J.G.1    Blaauwendraad, J.2
  • 146
    • 0001366503 scopus 로고
    • Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface
    • W.T. Koiter (1953). Stress-Strain Relations, Uniqueness and Variational Theorems for Elastic-Plastic Materials with a Singular Yield Surface. Quarterly of Applied Mathematics, 11, 350-354.
    • (1953) Quarterly of Applied Mathematics , vol.11 , pp. 350-354
    • Koiter, W.T.1
  • 147
    • 0001532762 scopus 로고
    • Generalisation de la Theorie de la Plasticite de W.T. Koiter
    • J. Mandel (1965). Generalisation de la Theorie de la Plasticite de W.T. Koiter. International Journal for Solids and Structures, 1, 273-295.
    • (1965) International Journal for Solids and Structures , vol.1 , pp. 273-295
    • Mandel, J.1
  • 148
    • 0042645960 scopus 로고    scopus 로고
    • Behaviour and design of fastenings with headed anchors at the edge under tension and shear load
    • R. De Borst, J. Mazars, G. Pijaudier-Cabot, and J.G.M. Van Mier, editors
    • J. Hofman, R. Eligehausen and J. Ožbolt (2001). Behaviour and design of fastenings with headed anchors at the edge under tension and shear load. In R. De Borst, J. Mazars, G. Pijaudier-Cabot, and J.G.M. Van Mier, editors, FRActure Mechanics of COncrete Structures IV, Volume 2, pages 941-947.
    • (2001) FRActure Mechanics of COncrete Structures IV , vol.2 , pp. 941-947
    • Hofman, J.1    Eligehausen, R.2    Ožbolt, J.3
  • 150
    • 0348108175 scopus 로고    scopus 로고
    • Incorrect initiation and propagation of failure in non-local and gradient-enhanced media
    • A. Simone, H. Askes and L.J. Sluys (2004). Incorrect initiation and propagation of failure in non-local and gradient-enhanced media. International Journal for Solids and Structures, 41, 351-363.
    • (2004) International Journal for Solids and Structures , vol.41 , pp. 351-363
    • Simone, A.1    Askes, H.2    Sluys, L.J.3


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