메뉴 건너뛰기




Volumn 30, Issue 1, 2002, Pages 65-80

A theoretical and computational setting for a geometrically nonlinear' gradient damage modelling framework

Author keywords

Continuum damage mechanics; Continuum thermodynamics; Finite element method; Finite strains; Gradient of damage

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; ELASTOPLASTICITY; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; NONLINEAR SYSTEMS; THERMODYNAMICS;

EID: 0036925974     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-002-0368-1     Document Type: Article
Times cited : (25)

References (43)
  • 1
    • 0033115656 scopus 로고    scopus 로고
    • Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions
    • Armero F (1999) Formulation and finite element implementation of a multiplicative model of coupled poro-plasticity at finite strains under fully saturated conditions. Comput. Meth. Appl. Mech. Eng. 171:205-241
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.171 , pp. 205-241
    • Armero, F.1
  • 2
    • 36849104050 scopus 로고
    • Thermodynamics with internal variables
    • Coleman BD, Gurtin ME (1967) Thermodynamics with internal variables. J. Chem. Phys. 47:597-613
    • (1967) J. Chem. Phys. , vol.47 , pp. 597-613
    • Coleman, B.D.1    Gurtin, M.E.2
  • 3
    • 0026904029 scopus 로고
    • A material-independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics
    • Cuitinio A, Ortiz M (1992) A material-independent method for extending stress update algorithms from small-strain plasticity to finite plasticity with multiplicative kinematics. Eng. Comput. 9:437-451
    • (1992) Eng. Comput. , vol.9 , pp. 437-451
    • Cuitinio, A.1    Ortiz, M.2
  • 4
    • 0026908533 scopus 로고
    • Gradient-dependent plasticity: Formulation and algorithmic aspects
    • de Borst R, Mühlhaus HB (1992) Gradient-dependent plasticity: formulation and algorithmic aspects. Int. J. Num. Meth. Eng. 35:521-539
    • (1992) Int. J. Num. Meth. Eng. , vol.35 , pp. 521-539
    • De Borst, R.1    Mühlhaus, H.B.2
  • 5
    • 0037187260 scopus 로고    scopus 로고
    • Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage
    • Dorfmann A, Fuller KNG, Ogden RW (2002) Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage. Int. J. Solids Struc. 39:1845-1861
    • (2002) Int. J. Solids Struc. , vol.39 , pp. 1845-1861
    • Dorfmann, A.1    Fuller, K.N.G.2    Ogden, R.W.3
  • 6
    • 0027841038 scopus 로고
    • A phenomenological theory for strain gradient effects in plasticity
    • Fleck NA, Hutchinson JW (1993) A phenomenological theory for strain gradient effects in plasticity. J. Mech. Phys. Solids 41(12): 1825-1857
    • (1993) J. Mech. Phys. Solids , vol.41 , Issue.12 , pp. 1825-1857
    • Fleck, N.A.1    Hutchinson, J.W.2
  • 7
    • 0001112806 scopus 로고
    • Endommagement et principe des puissances virtuelles
    • Frémond M, Nedjar B (1993) Endommagement et Principe des Puissances Virtuelles. C. R. Acad. Sci. Paris, serie II 317: 857-864
    • (1993) C. R. Acad. Sci. Paris, Serie II , vol.317 , pp. 857-864
    • Frémond, M.1    Nedjar, B.2
  • 8
    • 0030107906 scopus 로고    scopus 로고
    • Damage gradient of damage and principle of virtual power
    • Frémond M, Nedjar B (1996) Damage Gradient of Damage and Principle of Virtual Power. Int. J. Solids Struc. 33:1083-1103
    • (1996) Int. J. Solids Struc. , vol.33 , pp. 1083-1103
    • Frémond, M.1    Nedjar, B.2
  • 10
    • 0026754884 scopus 로고
    • Mullin's effect and the strain amplitude dependence of the storage modulus
    • Govindjee S, Simo JC (1992) Mullin's effect and the strain amplitude dependence of the storage modulus, Int. J. Solids Struc. 29:1737-1751
    • (1992) Int. J. Solids Struc. , vol.29 , pp. 1737-1751
    • Govindjee, S.1    Simo, J.C.2
  • 11
    • 0003354494 scopus 로고    scopus 로고
    • Nonlinear solid mechanics
    • John Wiley and Sons Ltd, West Sussex, England
    • Holzapfel HA (2000) Nonlinear Solid Mechanics. A Continuum Approach for Engineering. John Wiley and Sons Ltd, West Sussex, England
    • (2000) A Continuum Approach for Engineering
    • Holzapfel, H.A.1
  • 13
    • 0001024193 scopus 로고
    • CESAR-LCPC, un code général de calcul par éléments finis
    • Humbert P (1989) CESAR-LCPC, un code général de calcul par éléments finis. Bull. Liais. Labo. des Ponts et Chaussées 119: 112-116
    • (1989) Bull. Liais. Labo. des Ponts et Chaussées , vol.119 , pp. 112-116
    • Humbert, P.1
  • 14
    • 85024545548 scopus 로고
    • Elastic-plastic deformations at finite strains
    • Lee EH (1969) Elastic-Plastic deformations at finite strains. J. Appl. Mech. 36:1-6
    • (1969) J. Appl. Mech. , vol.36 , pp. 1-6
    • Lee, E.H.1
  • 15
    • 0008528978 scopus 로고
    • Finite strain elastic-plastic theory particularly for plane wave analysis
    • Lee EH, Liu DT (1967) Finite strain elastic-plastic theory particularly for plane wave analysis. J. Appl. Phys. 38
    • (1967) J. Appl. Phys. , vol.38
    • Lee, E.H.1    Liu, D.T.2
  • 16
    • 0035850693 scopus 로고    scopus 로고
    • Theoretical and numerical aspects of a thermodynamically consistent framework for geometrically linear gradient damage
    • Liebe T, Steinmann P, Benallal A (2001) Theoretical and numerical aspects of a thermodynamically consistent framework for geometrically linear gradient damage. Comput. Meth. Appl. Mech. Eng. 190:6555-6576
    • (2001) Comput. Meth. Appl. Mech. Eng. , vol.190 , pp. 6555-6576
    • Liebe, T.1    Steinmann, P.2    Benallal, A.3
  • 17
    • 0022674479 scopus 로고
    • Normality rules in large-deformation plasticity
    • Lubliner J (1986) Normality rules in large-deformation plasticity. Mech. Materials 5:29-34
    • (1986) Mech. Materials , vol.5 , pp. 29-34
    • Lubliner, J.1
  • 19
    • 0002326326 scopus 로고
    • Thermodynamics and plasticity
    • Nina NR, Delgado Dominges JJ, Whitelaw JH (eds), MacMillan, London
    • Mandel J (1974) Thermodynamics and plasticity. In: Foundation of Continuum Thermodynamics, Nina NR, Delgado Dominges JJ, Whitelaw JH (eds), pp. 283-304. MacMillan, London
    • (1974) Foundation of Continuum Thermodynamics , pp. 283-304
    • Mandel, J.1
  • 21
    • 0033728964 scopus 로고    scopus 로고
    • On the continuum formulation of gradient plasticity for single and polycrystals
    • Menzel A, Steinmann P (2000) On the continuum formulation of gradient plasticity for single and polycrystals. J. Mech. Phys. Solids 48:1777-1796
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 1777-1796
    • Menzel, A.1    Steinmann, P.2
  • 22
    • 0001089328 scopus 로고
    • Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials
    • Miehe C (1995) Discontinuous and continuous damage evolution in Ogden-type large-strain elastic materials. Eur. J. Mech., A/Solids 14(5): 697-720
    • (1995) Eur. J. Mech., A/Solids , vol.14 , Issue.5 , pp. 697-720
    • Miehe, C.1
  • 24
    • 44949281328 scopus 로고
    • A variational principle for gradient plasticity
    • Mühlhaus HB, Aifantis EC (1991) A variational principle for gradient plasticity. Int. J. Solids Struc. 28:845-857
    • (1991) Int. J. Solids Struc. , vol.28 , pp. 845-857
    • Mühlhaus, H.B.1    Aifantis, E.C.2
  • 25
    • 0004813705 scopus 로고
    • Mécanique de l'endommagement
    • PhD thesis, Ecole Nationale des Ponts et Chaussées, Paris
    • Nedjar B (1995) Mécanique de l'endommagement. Théorie du premier gradient et application au béton. PhD thesis, Ecole Nationale des Ponts et Chaussées, Paris
    • (1995) Théorie du Premier Gradient et Application au Béton
    • Nedjar, B.1
  • 26
    • 0002192939 scopus 로고    scopus 로고
    • Damage and gradient of damage in transient dynamics
    • Argoul P et al. (eds), Kluwer Academic Publishers
    • Nedjar B (1999) Damage and Gradient of Damage in Transient dynamics. In: IUTAM '97 Variation of Domain and Free-Boundary Problems in Solid Mechanics, Argoul P et al. (eds), pp. 189-196. Kluwer Academic Publishers
    • (1999) IUTAM '97 Variation of Domain and Free-Boundary Problems in Solid Mechanics , pp. 189-196
    • Nedjar, B.1
  • 27
    • 0035827337 scopus 로고    scopus 로고
    • Elastoplastic-damage modelling including the gradient of damage
    • Formulation and computational aspects
    • Nedjar B (2001a) Elastoplastic-damage modelling including the gradient of damage. Formulation and computational aspects Int. J. Solids Struc. 38:5421-5451
    • (2001) Int. J. Solids Struc. , vol.38 , pp. 5421-5451
    • Nedjar, B.1
  • 28
    • 0012299319 scopus 로고    scopus 로고
    • A gradient damage modelling framework at finite strains
    • Minisymposium on Nonlocal and Gradient Models in Forming, Liège (Belgium)
    • Nedjar B (2001b) A gradient damage modelling framework at finite strains. In: Minisymposium on Nonlocal and Gradient Models in Forming, 4th International, ESAFORM Conference, Liège (Belgium), vol. 2, pp. 495-498
    • (2001) 4th International, ESAFORM Conference , vol.2 , pp. 495-498
    • Nedjar, B.1
  • 31
    • 0032155927 scopus 로고    scopus 로고
    • A thermodynamics-based formulation of gradient dependent plasticity
    • Polizzoto C, Borino G (1998) A thermodynamics-based formulation of gradient dependent plasticity. Eur. J. Mech., A/Solids 17:741-761
    • (1998) Eur. J. Mech., A/Solids , vol.17 , pp. 741-761
    • Polizzoto, C.1    Borino, G.2
  • 32
    • 0026910667 scopus 로고
    • Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
    • Simo JC (1992) Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Comput. Meth. Appl. Mech. Eng. 99:61-112
    • (1992) Comput. Meth. Appl. Mech. Eng. , vol.99 , pp. 61-112
    • Simo, J.C.1
  • 33
    • 0002844202 scopus 로고
    • Recent developments in the numerical analysis of plasticity
    • Progress in Computational Analysis of Inelastic Structures, Stein E (eds), Springer-Verlag
    • Simo JC (1993) Recent developments in the numerical analysis of plasticity. In: Progress in Computational Analysis of Inelastic Structures, CISM No. 321, Stein E (eds), pp. 115-173. Springer-Verlag
    • (1993) CISM , vol.321 , pp. 115-173
    • Simo, J.C.1
  • 34
    • 70350313479 scopus 로고    scopus 로고
    • Numerical analysis and simulation of plasticity
    • Ciarlet PG, Lions JL (eds), North-Holland
    • Simo JC (1998) Numerical analysis and simulation of plasticity. In: Handbook of Numerical Analysis, Ciarlet PG, Lions JL (eds), Vol. VI, pp. 183-499. North-Holland
    • (1998) Handbook of Numerical Analysis , vol.6 , pp. 183-499
    • Simo, J.C.1
  • 36
    • 0026626125 scopus 로고
    • An augmented Lagrangian treatment of contact problems involving friction
    • Simo JC, Laursen TA (1992) An augmented Lagrangian treatment of contact problems involving friction. Comp. Struct. 42(1): 97-116
    • (1992) Comp. Struct. , vol.42 , Issue.1 , pp. 97-116
    • Simo, J.C.1    Laursen, T.A.2
  • 37
    • 0022010372 scopus 로고
    • Consistent tangent operators for rate-independent elastoplasticity
    • Simo JC, Taylor RL (1985) Consistent tangent operators for rate-independent elastoplasticity. Comp. Meth. Appl. Mech. Eng. 48:101-118
    • (1985) Comp. Meth. Appl. Mech. Eng. , vol.48 , pp. 101-118
    • Simo, J.C.1    Taylor, R.L.2
  • 38
    • 0026103678 scopus 로고
    • Quasi-incompressible finite elasticity in principal stretches
    • Continuum basis and numerical algorithms
    • Simo JC, Taylor RL (1991) Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms. Comput. Meth. Appl. Mech. Eng. 85:273-310
    • (1991) Comput. Meth. Appl. Mech. Eng. , vol.85 , pp. 273-310
    • Simo, J.C.1    Taylor, R.L.2
  • 39
    • 0032671922 scopus 로고    scopus 로고
    • Formulation and computation of geometrically non-linear gradient damage
    • Steinmann P (1999) Formulation and computation of geometrically non-linear gradient damage. Int. J. Numer. Meth. Eng. 46:757-779
    • (1999) Int. J. Numer. Meth. Eng. , vol.46 , pp. 757-779
    • Steinmann, P.1
  • 40
    • 0028396320 scopus 로고
    • Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials
    • Steinmann P, Miehe C, Stein E (1994) Comparison of different finite deformation inelastic damage models within multiplicative elastoplasticity for ductile materials. Comput. Mech. 13:458-474
    • (1994) Comput. Mech. , vol.13 , pp. 458-474
    • Steinmann, P.1    Miehe, C.2    Stein, E.3
  • 41
    • 0002565890 scopus 로고
    • The nonlinear field theories of mechanics
    • Fluegge S (ed.), Springer-Verlag, Berlin
    • Truesdell C, Noll W (1965) The nonlinear field theories of mechanics. In: Handbuch der Physik Bd. III/3. Fluegge S (ed.), Springer-Verlag, Berlin
    • (1965) Handbuch der Physik , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 42
    • 0025401322 scopus 로고
    • Finite deformation constitutive equations and time integration procedure for isotropic hyperelastic-viscoplastic solids
    • Weber G, Anand L (1990) Finite deformation constitutive equations and time integration procedure for isotropic hyperelastic-viscoplastic solids. Comput. Meth. Appl. Mech. Eng. 79:173-202
    • (1990) Comput. Meth. Appl. Mech. Eng. , vol.79 , pp. 173-202
    • Weber, G.1    Anand, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.