메뉴 건너뛰기




Volumn 49, Issue 22, 2012, Pages 3089-3099

Elastic behaviour of a regular lattice for meso-scale modelling of solids

Author keywords

Constitutive behaviour; Elastic properties; Meso scale; Microstructure; Regular structure; Site bond model

Indexed keywords

CEMENTITIOUS MATERIALS; CONSTITUTIVE BEHAVIOUR; DIFFERENT MECHANISMS; ELASTIC BEHAVIOUR; ELASTIC PROPERTIES; LATTICE ARRANGEMENTS; MACROSCOPIC MATERIALS; MECHANICAL DEFORMATION; MECHANICAL RESPONSE; MESOSCALE; REGULAR LATTICE; REGULAR STRUCTURE; SHEAR STIFFNESS; SOLID MATERIAL;

EID: 84865529617     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2012.06.010     Document Type: Article
Times cited : (54)

References (43)
  • 1
    • 0004123503 scopus 로고    scopus 로고
    • ABAQUS Version 6.7 ed., Dassault Systemes
    • ABAQUS, 2007. User's Manual, Version 6.7 ed., Dassault Systemes.
    • (2007) User's Manual
  • 2
    • 51249190003 scopus 로고
    • Cavity formation from inclusions in ductile fracture
    • A.S. Argon, J. Im, and R. Safoglu Cavity formation from inclusions in ductile fracture Metall. Trans. A 6 1975 825 837
    • (1975) Metall. Trans. A , vol.6 , pp. 825-837
    • Argon, A.S.1    Im, J.2    Safoglu, R.3
  • 3
    • 34547525748 scopus 로고    scopus 로고
    • Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture
    • Z.P. Bazant, and S.D. Pang Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture J. Mech. Phys. Solids 55 2007 91 131
    • (2007) J. Mech. Phys. Solids , vol.55 , pp. 91-131
    • Bazant, Z.P.1    Pang, S.D.2
  • 4
    • 0036841605 scopus 로고    scopus 로고
    • Nonlocal integral formulations of plasticity and damage: Survey of progress
    • Z.P. Bazant, and M. Jirasek Nonlocal integral formulations of plasticity and damage: survey of progress J. Eng. Mech. 128 2002 1119 1149
    • (2002) J. Eng. Mech. , vol.128 , pp. 1119-1149
    • Bazant, Z.P.1    Jirasek, M.2
  • 6
    • 7444224703 scopus 로고    scopus 로고
    • A new statistical local criterion for cleavage fracture in steel. Part I: Model presentation
    • S.R. Bordet, A.D. Karstensen, D.M. Knowles, and C.S. Wiesner A new statistical local criterion for cleavage fracture in steel. Part I: Model presentation Eng. Fract. Mech. 72 2005 435 452
    • (2005) Eng. Fract. Mech. , vol.72 , pp. 435-452
    • Bordet, S.R.1    Karstensen, A.D.2    Knowles, D.M.3    Wiesner, C.S.4
  • 7
    • 0036740754 scopus 로고    scopus 로고
    • Fracture modeling using a micro structural mechanics approach. I: Theory and formulation
    • C.S. Chang, T.K. Wang, L.J. Sluys, and J.G.M. Van Mier Fracture modeling using a micro structural mechanics approach. I: Theory and formulation Eng. Fract. Mech. 69 2002 1941 1958
    • (2002) Eng. Fract. Mech. , vol.69 , pp. 1941-1958
    • Chang, C.S.1    Wang, T.K.2    Sluys, L.J.3    Van Mier, J.G.M.4
  • 8
    • 0019624695 scopus 로고
    • Diffusive growth of grain-boundary cavities
    • I.W. Chen, and A.S. Argon Diffusive growth of grain-boundary cavities Acta Metall. 29 1981 1759 1768
    • (1981) Acta Metall. , vol.29 , pp. 1759-1768
    • Chen, I.W.1    Argon, A.S.2
  • 9
    • 0026817302 scopus 로고
    • Study of mechanism of cleavage fracture at low temperature
    • J.H. Chen, and G.Z. Wang Study of mechanism of cleavage fracture at low temperature Metall. Trans. A 23 1992 509 517
    • (1992) Metall. Trans. A , vol.23 , pp. 509-517
    • Chen, J.H.1    Wang, G.Z.2
  • 10
    • 0020006688 scopus 로고
    • On creep fracture by void growth
    • A.C.F. Cocks, and M.F. Ashby On creep fracture by void growth Prog. Mater. Sci. 27 1982 189 244
    • (1982) Prog. Mater. Sci. , vol.27 , pp. 189-244
    • Cocks, A.C.F.1    Ashby, M.F.2
  • 11
    • 0026851050 scopus 로고
    • Numerical modelling of discontinua
    • P.A. Cundall, and R.D. Hart Numerical modelling of discontinua Eng. Comput. 9 1992 101 113
    • (1992) Eng. Comput. , vol.9 , pp. 101-113
    • Cundall, P.A.1    Hart, R.D.2
  • 12
    • 0018480733 scopus 로고
    • Effect of microstructure on cleavage fracture toughness of quenched and tempered steels
    • D.A. Curry, and J.F. Knott Effect of microstructure on cleavage fracture toughness of quenched and tempered steels Met. Sci. 13 1979 341 345
    • (1979) Met. Sci. , vol.13 , pp. 341-345
    • Curry, D.A.1    Knott, J.F.2
  • 13
    • 33748777160 scopus 로고    scopus 로고
    • Confinement-shear lattice CSL model for fracture propagation in concrete
    • G. Cusatis, Z.P. Bazant, and L. Cedolin Confinement-shear lattice CSL model for fracture propagation in concrete Comput. Methods Appl. Mech. Eng. 195 2006 7154 7171
    • (2006) Comput. Methods Appl. Mech. Eng. , vol.195 , pp. 7154-7171
    • Cusatis, G.1    Bazant, Z.P.2    Cedolin, L.3
  • 14
    • 80052970869 scopus 로고    scopus 로고
    • Lattice discrete particle model (LDPM) for failure behaviour of concrete. I: Theory
    • G. Cusatis, D. Pelessone, and A. Mencarelli Lattice discrete particle model (LDPM) for failure behaviour of concrete. I: Theory Cement Concr. Compos. 33 2011 881 890
    • (2011) Cement Concr. Compos. , vol.33 , pp. 881-890
    • Cusatis, G.1    Pelessone, D.2    Mencarelli, A.3
  • 15
    • 0035930876 scopus 로고    scopus 로고
    • Fracture in quasi-brittle materials: A review of continuum damage-based approaches
    • R. De Borst Fracture in quasi-brittle materials: a review of continuum damage-based approaches Eng. Fract. Mech. 69 2002 95 112
    • (2002) Eng. Fract. Mech. , vol.69 , pp. 95-112
    • De Borst, R.1
  • 16
    • 0035074861 scopus 로고    scopus 로고
    • Modelling of elastic continua using a grillage of structural elements based on discrete element concepts
    • D.V. Griffiths, and G.G.W. Mustoe Modelling of elastic continua using a grillage of structural elements based on discrete element concepts Int. J. Numer. Methods Eng. 50 2001 1759 1775
    • (2001) Int. J. Numer. Methods Eng. , vol.50 , pp. 1759-1775
    • Griffiths, D.V.1    Mustoe, G.G.W.2
  • 17
    • 0017417249 scopus 로고
    • Continuum theory of ductile rupture by void nucleation and growth. Part 1: Yield criteria and flow rules for porous ductile media
    • A.L. Gurson Continuum theory of ductile rupture by void nucleation and growth. Part 1: Yield criteria and flow rules for porous ductile media J. Eng. Mater. Technol. - Trans. ASME 99 1977 2 15
    • (1977) J. Eng. Mater. Technol. - Trans. ASME , vol.99 , pp. 2-15
    • Gurson, A.L.1
  • 20
    • 0142103974 scopus 로고    scopus 로고
    • Spam-based recipes for continuum simulations
    • W.C. Hoover, and C.C. Hoover Spam-based recipes for continuum simulations Comput. Sci. Eng. 3 2001 78 79
    • (2001) Comput. Sci. Eng. , vol.3 , pp. 78-79
    • Hoover, W.C.1    Hoover, C.C.2
  • 21
    • 74849132393 scopus 로고    scopus 로고
    • Surface spreading of intergranular corrosion on stainless steels
    • S. Jain, N.D. Budiansky, J.L. Hudson, and J.R. Scully Surface spreading of intergranular corrosion on stainless steels Corros. Sci. 52 2010 873 885
    • (2010) Corros. Sci. , vol.52 , pp. 873-885
    • Jain, S.1    Budiansky, N.D.2    Hudson, J.L.3    Scully, J.R.4
  • 22
    • 0038702533 scopus 로고    scopus 로고
    • A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering
    • L. Jing A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering Int. J. Rock Mech. Mining Sci. 40 2003 283 353
    • (2003) Int. J. Rock Mech. Mining Sci. , vol.40 , pp. 283-353
    • Jing, L.1
  • 24
    • 33750430672 scopus 로고    scopus 로고
    • A three-dimensional computational model for intergranular cracking
    • A.P. Jivkov, N.P.C. Stevens, and T.J. Marrow A three-dimensional computational model for intergranular cracking Comput. Mater. Sci. 38 2006 442 453
    • (2006) Comput. Mater. Sci. , vol.38 , pp. 442-453
    • Jivkov, A.P.1    Stevens, N.P.C.2    Marrow, T.J.3
  • 25
    • 0026925413 scopus 로고
    • Cement and the elastic constants of concrete
    • S.A. Klink Cement and the elastic constants of concrete Cement Concr. Res. 22 1992 761 768
    • (1992) Cement Concr. Res. , vol.22 , pp. 761-768
    • Klink, S.A.1
  • 26
    • 34249840947 scopus 로고
    • Properties of a three-dimensional Poisson-Voronoi tesselation: A Monte Carlo study
    • S. Kumar, S.K. Kurtz, J.R. Banavar, and M.G. Sharma Properties of a three-dimensional Poisson-Voronoi tesselation: a Monte Carlo study J. Stat. Phys. 67 1992 523 551
    • (1992) J. Stat. Phys. , vol.67 , pp. 523-551
    • Kumar, S.1    Kurtz, S.K.2    Banavar, J.R.3    Sharma, M.G.4
  • 27
    • 67349109927 scopus 로고    scopus 로고
    • Recent developments in stainless steels
    • K.H. Lo, C.H. Shek, and J.K.L. Lai Recent developments in stainless steels Mater. Sci. Eng. R 65 2009 39 104
    • (2009) Mater. Sci. Eng. R , vol.65 , pp. 39-104
    • Lo, K.H.1    Shek, C.H.2    Lai, J.K.L.3
  • 28
    • 22544448703 scopus 로고    scopus 로고
    • Smoothed particle hydrodynamics
    • J.J. Monaghan Smoothed particle hydrodynamics Rep. Prog. Phys. 68 2005 1703 1759
    • (2005) Rep. Prog. Phys. , vol.68 , pp. 1703-1759
    • Monaghan, J.J.1
  • 29
    • 0023559252 scopus 로고
    • A local approach to cleavage fracture
    • F. Mudry A local approach to cleavage fracture Nucl. Eng. Des. 105 1987 65 76
    • (1987) Nucl. Eng. Des. , vol.105 , pp. 65-76
    • Mudry, F.1
  • 30
    • 0014520924 scopus 로고
    • On the ductile enlargement of voids in triaxial stress fields
    • J.R. Rice, and D.M. Tracey On the ductile enlargement of voids in triaxial stress fields 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
  • 32
    • 0023570609 scopus 로고
    • Ductile fracture models and their potential in local approach of fracture
    • G. Rousselier Ductile fracture models and their potential in local approach of fracture Nucl. Eng. Des. 105 1987 97 111
    • (1987) Nucl. Eng. Des. , vol.105 , pp. 97-111
    • Rousselier, G.1
  • 33
    • 0001060146 scopus 로고    scopus 로고
    • A transferability model for brittle fracture including constraint and ductile tearing effects: A probabilistic approach
    • C. Ruggieri, and R.H. Dodds Jr A transferability model for brittle fracture including constraint and ductile tearing effects: a probabilistic approach Int. J. Fract. 79 1996 309 340
    • (1996) Int. J. Fract. , vol.79 , pp. 309-340
    • Ruggieri, C.1    Dodds Jr., R.H.2
  • 34
    • 54149115119 scopus 로고    scopus 로고
    • Crack development in concrete. Part 2: Modelling of fracture process
    • 73 76
    • E. Schlangen Crack development in concrete. Part 2: Modelling of fracture process Key Eng. Mater. 385-387 2008 73 76
    • (2008) Key Eng. Mater. , pp. 385-387
    • Schlangen, E.1
  • 35
    • 0026982154 scopus 로고
    • Experimental and numerical analysis of micromechanisms of fracture of cement-based composites
    • E. Schlangen, and J.G.M. van Mier Experimental and numerical analysis of micromechanisms of fracture of cement-based composites Cement Concr. Compos. 14 1992 105 118
    • (1992) Cement Concr. Compos. , vol.14 , pp. 105-118
    • Schlangen, E.1    Van Mier, J.G.M.2
  • 36
    • 0346055020 scopus 로고    scopus 로고
    • Reformulation of elasticity theory for discontinuities and long-range forces
    • S.A. Silling Reformulation of elasticity theory for discontinuities and long-range forces J. Mech. Phys. Solids 48 2000 175 209
    • (2000) J. Mech. Phys. Solids , vol.48 , pp. 175-209
    • Silling, S.A.1
  • 37
    • 0034255073 scopus 로고    scopus 로고
    • Extended finite element method for three-dimensional crack modelling
    • N. Sukumar, N. Moes, B. Moran, and T. Belytschko Extended finite element method for three-dimensional crack modelling Int. J. Numer. Methods Eng. 48 2000 1549 1570
    • (2000) Int. J. Numer. Methods Eng. , vol.48 , pp. 1549-1570
    • Sukumar, N.1    Moes, N.2    Moran, B.3    Belytschko, T.4
  • 38
    • 0025586730 scopus 로고
    • Biofilm growth and the related changes in the physical properties of a porous medium. 1: Experimental investigation
    • S.W. Taylor, and P.R. Jaffe Biofilm growth and the related changes in the physical properties of a porous medium. 1: Experimental investigation Water Resour. Res. 26 1990 2153 2159
    • (1990) Water Resour. Res. , vol.26 , pp. 2153-2159
    • Taylor, S.W.1    Jaffe, P.R.2
  • 39
    • 0022080567 scopus 로고
    • A three-dimensional model for ductile fracture by the growth and coalescence of microvoids
    • P.F. Thomason A three-dimensional model for ductile fracture by the growth and coalescence of microvoids Acta Metall. 33 1985 1087 1095
    • (1985) Acta Metall. , vol.33 , pp. 1087-1095
    • Thomason, P.F.1
  • 40
    • 0021132424 scopus 로고
    • Analysis of the cup-cone fracture in a round tensile bar
    • V. Tvergaard, and A. Needleman Analysis of the cup-cone fracture in a round tensile bar Acta Metall. 32 1984 157 169
    • (1984) Acta Metall. , vol.32 , pp. 157-169
    • Tvergaard, V.1    Needleman, A.2
  • 41
    • 55749093727 scopus 로고    scopus 로고
    • Macroscopic elastic properties of regular lattices
    • Y. Wang, and P. Mora Macroscopic elastic properties of regular lattices J. Mech. Phys. Solids 56 2008 3459 3474
    • (2008) J. Mech. Phys. Solids , vol.56 , pp. 3459-3474
    • Wang, Y.1    Mora, P.2
  • 42
    • 33845284653 scopus 로고
    • Void nucleation by inclusion debonding in a crystal matrix
    • X.P. Xu, and A. Needleman Void nucleation by inclusion debonding in a crystal matrix Model. Simul. Mater. Sci. Eng. 1 1993 111 132
    • (1993) Model. Simul. Mater. Sci. Eng. , vol.1 , pp. 111-132
    • Xu, X.P.1    Needleman, A.2
  • 43
    • 0036395174 scopus 로고    scopus 로고
    • On fractal cracks in micropolar elastic solids
    • A. Yavari, S. Sarkani, and E.T. Moyer Jr. On fractal cracks in micropolar elastic solids J. Appl. Mech. 69 2002 45 54
    • (2002) J. Appl. Mech. , vol.69 , pp. 45-54
    • Yavari, A.1    Sarkani, S.2    Moyer Jr., E.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.