메뉴 건너뛰기




Volumn 187, Issue 3-4, 2000, Pages 401-440

Computer implementation of damage models by finite element and meshfree methods

Author keywords

Cell model; Constitutive law; Crack growth; Damage; Gurson model; HLC model; Plasticity; Representative volume element (RVE); Shear band

Indexed keywords

COMPOSITE MICROMECHANICS; CRACK PROPAGATION; DEFORMATION; FINITE ELEMENT METHOD; FRACTURE; MATHEMATICAL MODELS; PLASTICITY; SHEAR STRENGTH;

EID: 0034227325     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(00)80003-1     Document Type: Article
Times cited : (69)

References (57)
  • 1
    • 0017524588 scopus 로고
    • Variation of fracture toughness of a 7075 aluminum alloy with hydrostatic pressure and relationship with tensile ductility
    • Auger J.P., Francois D. Variation of fracture toughness of a 7075 aluminum alloy with hydrostatic pressure and relationship with tensile ductility. Int. J. Fracture. 13:1977;321.
    • (1977) Int. J. Fracture , vol.13 , pp. 321
    • Auger, J.P.1    Francois, D.2
  • 2
    • 0024664363 scopus 로고
    • The effect of void shape on void growth and ductility in axisymmetric tension tests
    • Becker R., Smelser R.E., Richmond O., Appleby E.J. The effect of void shape on void growth and ductility in axisymmetric tension tests. Metallurgica Trans. 20:1989;853-861.
    • (1989) Metallurgica Trans. , vol.20 , pp. 853-861
    • Becker, R.1    Smelser, R.E.2    Richmond, O.3    Appleby, E.J.4
  • 4
    • 0000834966 scopus 로고
    • A theory of the plastic distortion of a polyerystalline aggregate under combined stresses
    • Bishop J.F.W., Hill R. A theory of the plastic distortion of a polyerystalline aggregate under combined stresses. Phil. Mag. 42:1951;414-427.
    • (1951) Phil. Mag. , vol.42 , pp. 414-427
    • Bishop, J.F.W.1    Hill, R.2
  • 6
    • 0030413958 scopus 로고    scopus 로고
    • Reproducing kernel particle methods for large deformation analysis of nonlinear structures
    • Chen J.S., Pan C., Liu W.K. Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Comput. Methods Appl. Mech. Eng. 139:1996;195-228.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.139 , pp. 195-228
    • Chen, J.S.1    Pan, C.2    Liu, W.K.3
  • 7
    • 0019040907 scopus 로고
    • Void nucleation effects in biaxially strached sheets
    • Chu C.C., Needleman A. Void nucleation effects in biaxially strached sheets. J. Eng. Mater. Tech. 102:1980;249-256.
    • (1980) J. Eng. Mater. Tech. , vol.102 , pp. 249-256
    • Chu, C.C.1    Needleman, A.2
  • 9
    • 0030867117 scopus 로고    scopus 로고
    • Micromechanics of coalescence - I. Synergistic effects of elasticity, plastic yielding and multi-size-scale voids
    • Faleskog J., Shih C.F. Micromechanics of coalescence - I. Synergistic effects of elasticity, plastic yielding and multi-size-scale voids. J. Mech. Phys. Solid. 1997.
    • (1997) J. Mech. Phys. Solid
    • Faleskog, J.1    Shih, C.F.2
  • 10
    • 0032154328 scopus 로고    scopus 로고
    • Implementation of boundary conditions for meshless methods
    • Gunther F.C., Liu W.K. Implementation of boundary conditions for meshless methods. Comput. Methods Appl. Mech. Eng. 163:1998;205-230.
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.163 , pp. 205-230
    • Gunther, F.C.1    Liu, W.K.2
  • 11
    • 0017417249 scopus 로고
    • Continuum theory of ductile rupture by void nucleation and growth: Part I - yield criteria and flow rules for porous ductile media
    • Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth: Part I - yield criteria and flow rules for porous ductile media. J. Eng. Mater. Tech. 99:1977;2-15.
    • (1977) J. Eng. Mater. Tech. , vol.99 , pp. 2-15
    • Gurson, A.L.1
  • 12
    • 12944252192 scopus 로고
    • On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states
    • Hancock J.W., Mackenzie A.C. On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states. J. Mech. Phys. Solids. 24:1976;147.
    • (1976) J. Mech. Phys. Solids , vol.24 , pp. 147
    • Hancock, J.W.1    MacKenzie, A.C.2
  • 13
    • 1842725196 scopus 로고    scopus 로고
    • The Gurson-Tvergaard-Needleman model for rate and temperature-dependent materials with isotropic and kinematic hardening
    • Hao S., Brocks W. The Gurson-Tvergaard-Needleman model for rate and temperature-dependent materials with isotropic and kinematic hardening. Comput. Mech. 20:1996.
    • (1996) Comput. Mech. , vol.20
    • Hao, S.1    Brocks, W.2
  • 15
    • 0019229765 scopus 로고
    • Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
    • Hughes T.J.R., Winget J. Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis. Int. J. Numer. Methods Eng. 15:1980;1862-1867.
    • (1980) Int. J. Numer. Methods Eng. , vol.15 , pp. 1862-1867
    • Hughes, T.J.R.1    Winget, J.2
  • 17
    • 0031678553 scopus 로고    scopus 로고
    • Explicit reproducing kernel particle methods for large deformation problems
    • Jun S., Liu W.K., Belytschko T. Explicit reproducing kernel particle methods for large deformation problems. Int. J. Numer. Methods Eng. 41:1998;137-166.
    • (1998) Int. J. Numer. Methods Eng. , vol.41 , pp. 137-166
    • Jun, S.1    Liu, W.K.2    Belytschko, T.3
  • 19
    • 0023869198 scopus 로고
    • Void growth and coalescence in porous plastic solids
    • Koplik J., Needleman A. Void growth and coalescence in porous plastic solids. Int. J. Solids and Structures. 24:1988;835-853.
    • (1988) Int. J. Solids and Structures , vol.24 , pp. 835-853
    • Koplik, J.1    Needleman, A.2
  • 20
    • 0030413959 scopus 로고    scopus 로고
    • Moving least square kernel Galerkin method II Fourier analysis and convergence
    • Li S., Liu W.K. Moving least square kernel Galerkin method II Fourier analysis and convergence. Comput. Methods Appl. Mech. Eng. 139:1996;159-194.
    • (1996) Comput. Methods Appl. Mech. Eng. , vol.139 , pp. 159-194
    • Li, S.1    Liu, W.K.2
  • 21
    • 0032678421 scopus 로고    scopus 로고
    • Reproducing kernel hierarchical partition of unity, part I: Formulation and theory
    • Li S., Liu W.K. Reproducing kernel hierarchical partition of unity, part I: Formulation and theory. Int. J. Numer. Methods Eng. 45:1999;251-288.
    • (1999) Int. J. Numer. Methods Eng. , vol.45 , pp. 251-288
    • Li, S.1    Liu, W.K.2
  • 22
    • 0032686802 scopus 로고    scopus 로고
    • Reproducing kernel hierarchical partition of unity, part II: Applications
    • Li S., Liu W.K. Reproducing kernel hierarchical partition of unity, part II: applications. Int. J. Numer. Methods Eng. 45:1999;289-311.
    • (1999) Int. J. Numer. Methods Eng. , vol.45 , pp. 289-311
    • Li, S.1    Liu, W.K.2
  • 23
    • 0031998215 scopus 로고    scopus 로고
    • Synchronized reproducing kernel interpolant vis multiple wavelet expansion
    • Li S., Liu W.K. Synchronized reproducing kernel interpolant vis multiple wavelet expansion. Comput. Mech. 21:1998;28-47.
    • (1998) Comput. Mech. , vol.21 , pp. 28-47
    • Li, S.1    Liu, W.K.2
  • 25
    • 0040713219 scopus 로고
    • An introduction to wavelet reproducing kernel particle methods
    • Liu W.K. An introduction to wavelet reproducing kernel particle methods. USACM Bulletin. 8:(1):1995;3-16.
    • (1995) USACM Bulletin , vol.8 , Issue.1 , pp. 3-16
    • Liu, W.K.1
  • 26
    • 0027805906 scopus 로고
    • Reproducing kernel and wavelet particle methods for elastic and plastic problems
    • D.J. Benson, Asaro R.A. (AMD 180 and PVP 268 ASME)
    • Liu W.K., Adee J., Jun S. Reproducing kernel and wavelet particle methods for elastic and plastic problems. Benson D.J., Asaro R.A. Advanced Computational Methods for Material Modeling. 1993;175-190. (AMD 180 and PVP 268 ASME).
    • (1993) Advanced Computational Methods for Material Modeling , pp. 175-190
    • Liu, W.K.1    Adee, J.2    Jun, S.3
  • 28
    • 84984525570 scopus 로고
    • Wavelet and multiple scale reproducing kernel methods
    • Liu W.K., Chen Y. Wavelet and multiple scale reproducing kernel methods. Int. J. Numer. Methods Fluids. 21:1995;901-931.
    • (1995) Int. J. Numer. Methods Fluids , vol.21 , pp. 901-931
    • Liu, W.K.1    Chen, Y.2
  • 34
    • 0031119696 scopus 로고    scopus 로고
    • Moving least square kernel Galerkin method I methodology and convergence
    • Liu W.K., Li S., Belytschko T. Moving least square kernel Galerkin method I methodology and convergence. Comput. Methods Appl. Mech. Eng. 143:1997;113-154.
    • (1997) Comput. Methods Appl. Mech. Eng. , vol.143 , pp. 113-154
    • Liu, W.K.1    Li, S.2    Belytschko, T.3
  • 35
    • 0027810178 scopus 로고
    • Reproducing kernel and wavelet particle methods
    • J.P. Cusumano, C. Pierre, Wu S.T. Aerospace Structures: Nonlinear Dynamics and System Response
    • Liu W.K., Oberste-Brandenburg C. Reproducing kernel and wavelet particle methods. Cusumano J.P., Pierre C., Wu S.T. AD33 ASME. 1993;39-56. Aerospace Structures: Nonlinear Dynamics and System Response.
    • (1993) AD33 ASME , pp. 39-56
    • Liu, W.K.1    Oberste-Brandenburg, C.2
  • 36
    • 0000520888 scopus 로고    scopus 로고
    • Enrichment of the finite element method with the reproducing kernel particle method
    • Liu W.K., Uras R.A., Chen Y. Enrichment of the finite element method with the reproducing kernel particle method. J. Appl. Mech. ASME. 64:1998;861-870.
    • (1998) J. Appl. Mech. ASME , vol.64 , pp. 861-870
    • Liu, W.K.1    Uras, R.A.2    Chen, Y.3
  • 38
    • 0027642988 scopus 로고
    • Elastic interactions of a fatigue crack with a micro-defect by mixed boundary integral equation method
    • Lua Y.J., Liu W.K. Elastic interactions of a fatigue crack with a micro-defect by mixed boundary integral equation method. Int. J. Numer. Methods. 36:1993;2743-2759.
    • (1993) Int. J. Numer. Methods , vol.36 , pp. 2743-2759
    • Lua, Y.J.1    Liu, W.K.2
  • 39
    • 34249839196 scopus 로고
    • A stochastic damage model for the rupture prediction of a multi-phase solid
    • part I: Parametric studies
    • Lua Y.J., Liu W.K., Belytschko T. A stochastic damage model for the rupture prediction of a multi-phase solid. part I: Parametric studies Int. J. Fracture. 55:1992;321-340.
    • (1992) Int. J. Fracture , vol.55 , pp. 321-340
    • Lua, Y.J.1    Liu, W.K.2    Belytschko, T.3
  • 40
    • 34249832098 scopus 로고
    • A stochastic damage model for the rupture prediction of a multi-phase solid
    • part II: Statistical approach
    • Lua Y.J., Liu W.K., Belytschko T. A stochastic damage model for the rupture prediction of a multi-phase solid. part II: Statistical approach Int. J. Fracture. 55:1992;341-361.
    • (1992) Int. J. Fracture , vol.55 , pp. 341-361
    • Lua, Y.J.1    Liu, W.K.2    Belytschko, T.3
  • 42
    • 0000152391 scopus 로고
    • The constitutive law of nonlinear viscous and porous materials
    • Michel J.C., Suquet P. The constitutive law of nonlinear viscous and porous materials. J. Mech. Phys. Solids. 40:(4):1992;783-812.
    • (1992) J. Mech. Phys. Solids , vol.40 , Issue.4 , pp. 783-812
    • Michel, J.C.1    Suquet, P.2
  • 43
    • 0015346285 scopus 로고
    • A numerical study of necking in circular cylindrical bars
    • Needleman A. A numerical study of necking in circular cylindrical bars. J. Mech. Phys. Solids. 20:1972;111-127.
    • (1972) J. Mech. Phys. Solids , vol.20 , pp. 111-127
    • Needleman, A.1
  • 44
    • 0023169585 scopus 로고
    • An analysis of ductile rupture modes at a crack tip
    • Needleman A., Tvergaard V. An analysis of ductile rupture modes at a crack tip. J. Mech. Phys. Solids. 35:1987;151-183.
    • (1987) J. Mech. Phys. Solids , vol.35 , pp. 151-183
    • Needleman, A.1    Tvergaard, V.2
  • 45
    • 0022678405 scopus 로고
    • An analysis of a new calls of integration algorithms for elastoplastic constitutive equations
    • Ortiz M., Simo J.C. An analysis of a new calls of integration algorithms for elastoplastic constitutive equations. Int. J. Numer. Methods Eng. 23:1986;353-366.
    • (1986) Int. J. Numer. Methods Eng. , vol.23 , pp. 353-366
    • Ortiz, M.1    Simo, J.C.2
  • 46
    • 0002043963 scopus 로고
    • The role of large crack tip geometry, changes in plane strain fracture
    • Rice J.R., Johnson M.A. The role of large crack tip geometry, changes in plane strain fracture. Inelastic Behavior Of Solids. 1970;641-672.
    • (1970) Inelastic Behavior of Solids , pp. 641-672
    • Rice, J.R.1    Johnson, M.A.2
  • 47
    • 0014520924 scopus 로고
    • On the ductile enlargement of voids in triaxial stress field
    • Rice J.R., Tracey D.M. On the ductile enlargement of voids in triaxial stress field. J. Mech. Phys. Solids. 17:1969;201-217.
    • (1969) J. Mech. Phys. Solids , vol.17 , pp. 201-217
    • Rice, J.R.1    Tracey, D.M.2
  • 49
    • 0002474801 scopus 로고
    • Finite deformation constitutive relations including ductile fracture damage
    • Nemat-Nasser S.
    • Rousselier G. Finite deformation constitutive relations including ductile fracture damage. Nemat-Nasser S. Three-Dimensional Constitutive Relations and Ductile Fracture. 1981;331-355.
    • (1981) Three-Dimensional Constitutive Relations and Ductile Fracture , pp. 331-355
    • Rousselier, G.1
  • 50
    • 0016647841 scopus 로고
    • Conditions for the localization of deformation in pressure-sensitive dilatant materials
    • Rudnicki J.W., Rice J.R. Conditions for the localization of deformation in pressure-sensitive dilatant materials. J. Mech. Phys. Solids. 23:1975;371-394.
    • (1975) J. Mech. Phys. Solids , vol.23 , pp. 371-394
    • Rudnicki, J.W.1    Rice, J.R.2
  • 51
    • 0030285819 scopus 로고    scopus 로고
    • Numerical modeling of ductile crack growth in 3-D using computational cell elements
    • Ruggieri C., Panontin T.L., Dodds R.H. Numerical modeling of ductile crack growth in 3-D using computational cell elements. Int. J. Fracture. 82:1996;67-95.
    • (1996) Int. J. Fracture , vol.82 , pp. 67-95
    • Ruggieri, C.1    Panontin, T.L.2    Dodds, R.H.3
  • 52
    • 0022076781 scopus 로고
    • A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic equations
    • Simo J.C., Ortiz M. A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic equations. Comput. Meth. Appl. Mech. Eng. 49:1985;221-245.
    • (1985) Comput. Meth. Appl. Mech. Eng. , vol.49 , pp. 221-245
    • Simo, J.C.1    Ortiz, M.2
  • 53
    • 0019602346 scopus 로고
    • Influence of voids on shear band instabilities under plane strain condition
    • Tvergaard V. Influence of voids on shear band instabilities under plane strain condition. I. J. Fracture Mech. 17:1981;389-407.
    • (1981) I. J. Fracture Mech. , vol.17 , pp. 389-407
    • Tvergaard, V.1
  • 54
    • 0021132424 scopus 로고
    • Analysis of the cup-cone fracture in a round tensile bar
    • Tvergaard V., Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Matallurgica. 32:1984;157-169.
    • (1984) Acta Matallurgica , vol.32 , pp. 157-169
    • Tvergaard, V.1    Needleman, A.2
  • 55
    • 0031506587 scopus 로고    scopus 로고
    • Multiresolution reproducing kernel particle methods in acoustics
    • Uras R.A., Chang C.T., Chen Y., Liu W.K. Multiresolution reproducing kernel particle methods in acoustics. J. Comput. Acoust. 5:(1):1997;71-94.
    • (1997) J. Comput. Acoust. , vol.5 , Issue.1 , pp. 71-94
    • Uras, R.A.1    Chang, C.T.2    Chen, Y.3    Liu, W.K.4
  • 57
    • 58149364799 scopus 로고
    • Ductile crack growth - I. A numerical study using computational microstructurally-based length scales
    • Xia L., Shih C.F. Ductile crack growth - I. A numerical study using computational microstructurally-based length scales. J. Mech. Phys. Solids. 43:1995;233-259.
    • (1995) J. Mech. Phys. Solids , vol.43 , pp. 233-259
    • Xia, L.1    Shih, C.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.