메뉴 건너뛰기




Volumn 46, Issue 12, 2004, Pages 1763-1782

Eshelby stress tensor in large strain anisotropic damage mechanics

Author keywords

Anisotropic damage; Ductile materials; Eshelby stress tensor; Large strains

Indexed keywords

ANISOTROPY; DEFECTS; FRACTURE TOUGHNESS; STRAIN; STRESS ANALYSIS; TENSORS;

EID: 12344338357     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2004.11.005     Document Type: Article
Times cited : (11)

References (57)
  • 1
    • 84980287971 scopus 로고
    • A path independent integral and the approximate analysis of strain concentration by notches and cracks
    • J.R. Rice A path independent integral and the approximate analysis of strain concentration by notches and cracks Journal of Applied Mechanics 35 1968 379 386
    • (1968) Journal of Applied Mechanics , vol.35 , pp. 379-386
    • Rice, J.R.1
  • 2
    • 0028064102 scopus 로고
    • Eshelby stress in elastoplasticity and ductile fracture
    • G.A. Maugin Eshelby stress in elastoplasticity and ductile fracture International Journal of Plasticity 10 1994 393 408
    • (1994) International Journal of Plasticity , vol.10 , pp. 393-408
    • Maugin, G.A.1
  • 4
    • 0034325546 scopus 로고    scopus 로고
    • Application of material forces to hyperelastostatic fracture mechanics, I. Continuum mechanical setting
    • P. Steinmann Application of material forces to hyperelastostatic fracture mechanics, I. Continuum mechanical setting International Journal of Solids and Structures 37 2000 7371 7391
    • (2000) International Journal of Solids and Structures , vol.37 , pp. 7371-7391
    • Steinmann, P.1
  • 6
    • 0016576296 scopus 로고
    • The elastic energy-momentum tensor
    • J.D. Eshelby The elastic energy-momentum tensor Journal of Elasticity 5 1975 321 335
    • (1975) Journal of Elasticity , vol.5 , pp. 321-335
    • Eshelby, J.D.1
  • 7
    • 0017731099 scopus 로고
    • Forces in material space
    • D. Rogula Forces in material space Archives of Mechanics 29 1977 705 713
    • (1977) Archives of Mechanics , vol.29 , pp. 705-713
    • Rogula, D.1
  • 8
    • 0016574979 scopus 로고
    • Applications of an energy-momentum tensor in non-linear elastostatics
    • P. Chadwick Applications of an energy-momentum tensor in non-linear elastostatics Journal of Elasticity 5 1975 249 258
    • (1975) Journal of Elasticity , vol.5 , pp. 249-258
    • Chadwick, P.1
  • 9
    • 0022563692 scopus 로고
    • Energy-momentum tensors in elastostatics: Some reflections on the general theory
    • R. Hill Energy-momentum tensors in elastostatics some reflections on the general theory Journal of the Mechanics and Physics of Solids 34 1986 305 317
    • (1986) Journal of the Mechanics and Physics of Solids , vol.34 , pp. 305-317
    • Hill, R.1
  • 12
    • 0022806052 scopus 로고
    • An elementary theory of defective beams
    • R. Kienzler, and G. Herrmann An elementary theory of defective beams Acta Mechanica 62 1986 37 46
    • (1986) Acta Mechanica , vol.62 , pp. 37-46
    • Kienzler, R.1    Herrmann, G.2
  • 13
    • 0022177587 scopus 로고
    • On existence and completeness of conservation laws associated with elementary beam theory
    • R. Kienzler On existence and completeness of conservation laws associated with elementary beam theory International Journal of Solids and Structures 22 1986 789 796
    • (1986) International Journal of Solids and Structures , vol.22 , pp. 789-796
    • Kienzler, R.1
  • 14
    • 0025641438 scopus 로고
    • Variational principles of nonlinear fracture mechanics
    • H. Stumpf, and K.Ch. Le Variational principles of nonlinear fracture mechanics Acta Mechanica 83 1990 25 37
    • (1990) Acta Mechanica , vol.83 , pp. 25-37
    • Stumpf, H.1    Le, K.Ch.2
  • 15
    • 0026455428 scopus 로고
    • Pseudomomentum and material force in nonlinear elasticity: Variational formulation and application to brittle fracture
    • G.A. Maugin, and C. Trimarco Pseudomomentum and material force in nonlinear elasticity variational formulation and application to brittle fracture Acta Mechanica 94 1992 1 28
    • (1992) Acta Mechanica , vol.94 , pp. 1-28
    • Maugin, G.A.1    Trimarco, C.2
  • 17
    • 0033882003 scopus 로고    scopus 로고
    • Eshelby's stress tensors in finite elastoplasticity
    • S. Cleja-Tigoiu, and G.A. Maugin Eshelby's stress tensors in finite elastoplasticity Acta Mechanica 139 2000 231 249
    • (2000) Acta Mechanica , vol.139 , pp. 231-249
    • Cleja-Tigoiu, S.1    Maugin, G.A.2
  • 20
    • 0029297165 scopus 로고
    • Material forces: Concepts and applications
    • G.A. Maugin Material forces concepts and applications ASME Applied Mechanics Review 48 1995 213 245
    • (1995) ASME Applied Mechanics Review , vol.48 , pp. 213-245
    • Maugin, G.A.1
  • 21
    • 3142514522 scopus 로고    scopus 로고
    • Use of material forces in adaptive finite element methods
    • R. Müller, D. Gross, and G.A. Maugin Use of material forces in adaptive finite element methods Computational Mechanics 33 2004 421 434
    • (2004) Computational Mechanics , vol.33 , pp. 421-434
    • Müller, R.1    Gross, D.2    Maugin, G.A.3
  • 22
    • 0035859161 scopus 로고    scopus 로고
    • Application of material forces to hyperelastostatic fracture mechanics. I. Computational setting
    • P. Steinmann, D. Ackermann, and F.J. Barth Application of material forces to hyperelastostatic fracture mechanics. I. Computational setting International Journal of Solids and Structures 38 2001 5509 5526
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 5509-5526
    • Steinmann, P.1    Ackermann, D.2    Barth, F.J.3
  • 24
    • 0002699969 scopus 로고
    • On rupture time under condition of creep
    • Izvestia Akademi Nauk USSR Moskwa: Nauk
    • Kachanov LM. On rupture time under condition of creep, Izvestia Akademi Nauk USSR, Otd. Techn, vol. 8. Moskwa: Nauk; 1958. p. 26-31.
    • (1958) Otd. Techn , vol.8 , pp. 26-31
    • Kachanov, L.M.1
  • 29
    • 77956849479 scopus 로고
    • Material failure by void growth to coalescence
    • V. Tvergaard Material failure by void growth to coalescence Advances in Applied Mechanics 27 1990 83 151
    • (1990) Advances in Applied Mechanics , vol.27 , pp. 83-151
    • Tvergaard, V.1
  • 30
    • 0019717023 scopus 로고
    • The continuous damage theory of brittle materials, Part 1: General theory
    • D. Krajcinovic, and G.U. Fonseka The continuous damage theory of brittle materials, Part 1 General theory Journal of Applied Mechanics 48 1981 809 815
    • (1981) Journal of Applied Mechanics , vol.48 , pp. 809-815
    • Krajcinovic, D.1    Fonseka, G.U.2
  • 31
    • 0019659126 scopus 로고
    • The continuous damage theory of brittle materials, Part 2: Uniaxial and plane response modes
    • D. Krajcinovic, and G.U. Fonseka The continuous damage theory of brittle materials, Part 2 Uniaxial and plane response modes Journal of Applied Mechanics 48 1981 816 824
    • (1981) Journal of Applied Mechanics , vol.48 , pp. 816-824
    • Krajcinovic, D.1    Fonseka, G.U.2
  • 32
    • 0020764685 scopus 로고
    • Constitutive equations for damaging materials
    • D. Krajcinovic Constitutive equations for damaging materials Journal of Applied Mechanics 50 1983 355 360
    • (1983) Journal of Applied Mechanics , vol.50 , pp. 355-360
    • Krajcinovic, D.1
  • 34
    • 0002436583 scopus 로고
    • A continuum theory of creep and creep damage
    • A.R.S. Ponter D.R. Hayhurst Springer Berlin
    • S. Murakami, and N. Ohno A continuum theory of creep and creep damage A.R.S. Ponter D.R. Hayhurst Creep in structures 1981 Springer Berlin 422 443
    • (1981) Creep in Structures , pp. 422-443
    • Murakami, S.1    Ohno, N.2
  • 35
    • 0020244982 scopus 로고
    • Net-stress analysis in creep mechanics
    • J. Betten Net-stress analysis in creep mechanics Ingenieur-Archiv 52 1982 405 419
    • (1982) Ingenieur-Archiv , vol.52 , pp. 405-419
    • Betten, J.1
  • 36
    • 0020649619 scopus 로고
    • Damage tensors in continuum mechanics
    • J. Betten Damage tensors in continuum mechanics J Méc Théor Appl 2 1983 13 32
    • (1983) J Méc Théor Appl , vol.2 , pp. 13-32
    • Betten, J.1
  • 37
    • 0023173764 scopus 로고
    • An anisotropic theory of continuum damage mechanics for ductile fracture
    • C.L. Chow, and J. Wang An anisotropic theory of continuum damage mechanics for ductile fracture Engineering Fracture Mechanics 27 1987 547 558
    • (1987) Engineering Fracture Mechanics , vol.27 , pp. 547-558
    • Chow, C.L.1    Wang, J.2
  • 38
    • 0023978287 scopus 로고
    • Continuum damage mechanics: Part I - General concepts
    • J.L. Chaboche Continuum damage mechanics Part I - General concepts Journal of Applied Mechanics 55 1988 59 64
    • (1988) Journal of Applied Mechanics , vol.55 , pp. 59-64
    • Chaboche, J.L.1
  • 39
    • 0023979659 scopus 로고
    • Continuum damage mechanics: Part II - Damage growth, crack initiation, and crack growth
    • J.L. Chaboche Continuum damage mechanics Part II - Damage growth, crack initiation, and crack growth Journal of Applied Mechanics 55 1988 65 72
    • (1988) Journal of Applied Mechanics , vol.55 , pp. 65-72
    • Chaboche, J.L.1
  • 40
    • 0024034012 scopus 로고
    • Mechanical modeling of material damage
    • S. Murakami Mechanical modeling of material damage Journal of Applied Mechanics 55 1988 280 286
    • (1988) Journal of Applied Mechanics , vol.55 , pp. 280-286
    • Murakami, S.1
  • 41
    • 46949093058 scopus 로고
    • Isotropic and anisotropic damage variables in continuum damage mechanics
    • J.W. Ju Isotropic and anisotropic damage variables in continuum damage mechanics Journal of Engineering Mechanics 116 1990 2764 2770
    • (1990) Journal of Engineering Mechanics , vol.116 , pp. 2764-2770
    • Ju, J.W.1
  • 42
    • 0025547805 scopus 로고
    • On constitutive equations of inelastic solids with anisotropic damage
    • T.J. Lu, and C.L. Chow On constitutive equations of inelastic solids with anisotropic damage Theoretical and Applied Fracture Mechanics 14 1990 187 218
    • (1990) Theoretical and Applied Fracture Mechanics , vol.14 , pp. 187-218
    • Lu, T.J.1    Chow, C.L.2
  • 43
    • 0026924755 scopus 로고
    • A plasticity-damage theory for large deformation of solids - I. Theoretical formulation
    • G.Z. Voyiadjis, and P.I. Kattan A plasticity-damage theory for large deformation of solids - I. Theoretical formulation International Journal of Engineering Science 30 1992 1089 1108
    • (1992) International Journal of Engineering Science , vol.30 , pp. 1089-1108
    • Voyiadjis, G.Z.1    Kattan, P.I.2
  • 44
    • 0029697711 scopus 로고    scopus 로고
    • A continuum model of elastic-plastic materials with anisotropic damage by oriented microvoids
    • O.T. Bruhns, and P. Schiesse A continuum model of elastic-plastic materials with anisotropic damage by oriented microvoids European Journal of Mechanics A - Solids 15 1996 367 396
    • (1996) European Journal of Mechanics A - Solids , vol.15 , pp. 367-396
    • Bruhns, O.T.1    Schiesse, P.2
  • 45
    • 0035372511 scopus 로고    scopus 로고
    • A framework for large strain elastic-plastic damage mechanics based on metric transformations
    • M. Brünig A framework for large strain elastic-plastic damage mechanics based on metric transformations International Journal of Engineering Science 39 2001 1033 1056
    • (2001) International Journal of Engineering Science , vol.39 , pp. 1033-1056
    • Brünig, M.1
  • 46
    • 0035997872 scopus 로고    scopus 로고
    • Numerical analysis and elastic-plastic deformation behavior of anisotropically damaged solids
    • M. Brünig Numerical analysis and elastic-plastic deformation behavior of anisotropically damaged solids International Journal of Plasticity 18 2002 1237 1270
    • (2002) International Journal of Plasticity , vol.18 , pp. 1237-1270
    • Brünig, M.1
  • 47
    • 0038685855 scopus 로고    scopus 로고
    • An anisotropic ductile damage model based on irreversible thermodynamics
    • M. Brünig An anisotropic ductile damage model based on irreversible thermodynamics International Journal of Plasticity 19 2003 1679 1713
    • (2003) International Journal of Plasticity , vol.19 , pp. 1679-1713
    • Brünig, M.1
  • 50
    • 0024714174 scopus 로고
    • Some thermodynamical considerations on inelastic deformations including damage processes
    • Th. Lehmann Some thermodynamical considerations on inelastic deformations including damage processes Acta Mechanica 79 1989 1 24
    • (1989) Acta Mechanica , vol.79 , pp. 1-24
    • Lehmann, Th.1
  • 51
    • 0025842519 scopus 로고
    • Thermodynamical foundations of large inelastic deformations of solid bodies including damage
    • Th. Lehmann Thermodynamical foundations of large inelastic deformations of solid bodies including damage International Journal of Plasticity 7 1991 79 98
    • (1991) International Journal of Plasticity , vol.7 , pp. 79-98
    • Lehmann, Th.1
  • 53
    • 0021392720 scopus 로고
    • The effect of pressure on the flow stress of metals
    • W.A. Spitzig, and O. Richmond The effect of pressure on the flow stress of metals Acta Metallurgica 32 1984 457 463
    • (1984) Acta Metallurgica , vol.32 , pp. 457-463
    • Spitzig, W.A.1    Richmond, O.2
  • 54
    • 0016533202 scopus 로고
    • Pressure dependence of yielding and associated volume expansion in tempered martensite
    • W.A. Spitzig, R.J. Sober, and O. Richmond Pressure dependence of yielding and associated volume expansion in tempered martensite Acta Metallurgica 23 1975 885 893
    • (1975) Acta Metallurgica , vol.23 , pp. 885-893
    • Spitzig, W.A.1    Sober, R.J.2    Richmond, O.3
  • 55
    • 0343167400 scopus 로고    scopus 로고
    • Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids
    • M. Brünig Numerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids International Journal of Plasticity 15 1999 1237 1264
    • (1999) International Journal of Plasticity , vol.15 , pp. 1237-1264
    • Brünig, M.1
  • 56
    • 0024001885 scopus 로고
    • The evolution of damage and fracture in iron compacts with various initial porosities
    • W.A. Spitzig, R.E. Smelser, and O. Richmond The evolution of damage and fracture in iron compacts with various initial porosities Acta Metallurgica 36 1988 1201 1211
    • (1988) Acta Metallurgica , vol.36 , pp. 1201-1211
    • Spitzig, W.A.1    Smelser, R.E.2    Richmond, O.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.