메뉴 건너뛰기




Volumn 47, Issue 9, 2010, Pages 1099-1107

Stress concentrations in fractured compact bone simulated with a special class of anisotropic gradient elasticity

Author keywords

Anisotropic gradient elasticity; Bone fracture; Bone stress concentrations

Indexed keywords

ANISOTROPIC MATERIAL; ANISOTROPIC SOURCES; BONE FRACTURE; COMPACT BONE; CORTICAL BONE; EFFECTIVE STIFFNESS; GRADIENT ELASTICITY; HAVERSIAN SYSTEM; HIGHER ORDER; INTERNAL LENGTH; LENGTH SCALE EFFECTS; LENGTH SCALE PARAMETER; PRE-EXISTING CRACK; SPECIAL CLASS; STRAIN GRADIENTS; TRANSVERSAL DIRECTIONS;

EID: 77249142394     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.11.020     Document Type: Article
Times cited : (86)

References (37)
  • 1
    • 0026930049 scopus 로고
    • On the role of gradients in the localization of deformation and fracture
    • Aifantis E.C. On the role of gradients in the localization of deformation and fracture. International Journal of Engineering Science 30 (1992) 1279-1299
    • (1992) International Journal of Engineering Science , vol.30 , pp. 1279-1299
    • Aifantis, E.C.1
  • 3
    • 0033343496 scopus 로고    scopus 로고
    • Strain gradient interpretation of size effects
    • Aifantis E.C. Strain gradient interpretation of size effects. International Journal of Fracture 95 (1999) 299-314
    • (1999) International Journal of Fracture , vol.95 , pp. 299-314
    • Aifantis, E.C.1
  • 4
    • 0037343002 scopus 로고    scopus 로고
    • Update on a class of gradient theories
    • Aifantis E.C. Update on a class of gradient theories. Mechanics of Materials 35 (2003) 259-280
    • (2003) Mechanics of Materials , vol.35 , pp. 259-280
    • Aifantis, E.C.1
  • 5
    • 54049158022 scopus 로고    scopus 로고
    • Exploring the applicability of gradient elasticity to certain micro/nano reliability problems
    • Aifantis E.C. Exploring the applicability of gradient elasticity to certain micro/nano reliability problems. Microsystem Technologies 15 (2009) 109-115
    • (2009) Microsystem Technologies , vol.15 , pp. 109-115
    • Aifantis, E.C.1
  • 8
    • 0036822265 scopus 로고    scopus 로고
    • Numerical modeling of size effects with gradient elasticity - formulation meshless discretization and examples
    • Askes H., and Aifantis E.C. Numerical modeling of size effects with gradient elasticity - formulation meshless discretization and examples. International Journal of Fracture 117 (2002) 347-358
    • (2002) International Journal of Fracture , vol.117 , pp. 347-358
    • Askes, H.1    Aifantis, E.C.2
  • 10
    • 43049121709 scopus 로고    scopus 로고
    • Finite element analysis with staggered gradient elasticity
    • Askes H., Morata I., and Aifantis E.C. Finite element analysis with staggered gradient elasticity. Computers and Structures 86 (2008) 1266-1279
    • (2008) Computers and Structures , vol.86 , pp. 1266-1279
    • Askes, H.1    Morata, I.2    Aifantis, E.C.3
  • 13
    • 0030128871 scopus 로고    scopus 로고
    • A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites
    • Drugan W.J., and Willis J.R. A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites. Journal of the Mechanics and Physics of Solids 44 (1996) 497-524
    • (1996) Journal of the Mechanics and Physics of Solids , vol.44 , pp. 497-524
    • Drugan, W.J.1    Willis, J.R.2
  • 14
    • 0020821706 scopus 로고
    • On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
    • Eringen A.C. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of Applied Physics 54 (1983) 4703-4710
    • (1983) Journal of Applied Physics , vol.54 , pp. 4703-4710
    • Eringen, A.C.1
  • 16
    • 0036441138 scopus 로고    scopus 로고
    • Generalized continuum theories: application to stress analysis in bone
    • Fatemi J., van Keulen F., and Onck P.R. Generalized continuum theories: application to stress analysis in bone. Meccanica 37 (2002) 385-396
    • (2002) Meccanica , vol.37 , pp. 385-396
    • Fatemi, J.1    van Keulen, F.2    Onck, P.R.3
  • 17
    • 0141829271 scopus 로고    scopus 로고
    • The mode III crack problem in microstructured solids governed by dipolar gradient elasticity: static and dynamic analysis
    • Georgiadis H.G. The mode III crack problem in microstructured solids governed by dipolar gradient elasticity: static and dynamic analysis. Journal of Applied Mechanics 70 (2003) 517-530
    • (2003) Journal of Applied Mechanics , vol.70 , pp. 517-530
    • Georgiadis, H.G.1
  • 18
    • 47049117547 scopus 로고    scopus 로고
    • Size effects on strength, toughness and fatigue crack growth of gradient elastic solids
    • Giannakopoulos A.E., and Stamoulis K. Size effects on strength, toughness and fatigue crack growth of gradient elastic solids. International Journal of Solids and Structures 45 (2008) 4921-4935
    • (2008) International Journal of Solids and Structures , vol.45 , pp. 4921-4935
    • Giannakopoulos, A.E.1    Stamoulis, K.2
  • 19
    • 29144461604 scopus 로고    scopus 로고
    • The representative volume size in static and dynamic micro-macro transitions
    • Gitman I.M., Askes H., and Aifantis E.C. The representative volume size in static and dynamic micro-macro transitions. International Journal of Fracture 135 (2005) L3-L9
    • (2005) International Journal of Fracture , vol.135
    • Gitman, I.M.1    Askes, H.2    Aifantis, E.C.3
  • 20
  • 21
    • 0002333071 scopus 로고    scopus 로고
    • Nanoscopics of dislocations and disclinations in gradient elasticity
    • Also available at:
    • Gutkin M.Y. Nanoscopics of dislocations and disclinations in gradient elasticity. Reviews on Advanced Materials Science 1 (2000) 27-60. http://www.ipme.ru Also available at:
    • (2000) Reviews on Advanced Materials Science , vol.1 , pp. 27-60
    • Gutkin, M.Y.1
  • 22
    • 0033524546 scopus 로고    scopus 로고
    • Dislocations in the theory of gradient elasticity
    • Gutkin M.Y., and Aifantis E.C. Dislocations in the theory of gradient elasticity. Scripta Materialia 40 (1999) 559-566
    • (1999) Scripta Materialia , vol.40 , pp. 559-566
    • Gutkin, M.Y.1    Aifantis, E.C.2
  • 25
    • 37249052230 scopus 로고    scopus 로고
    • The thermodynamic driving force for bone growth and remodelling: a hypothesis
    • Kirchner H.O.K., and Lazar M. The thermodynamic driving force for bone growth and remodelling: a hypothesis. Journal of the Royal Society Interface 5 (2008) 183-193
    • (2008) Journal of the Royal Society Interface , vol.5 , pp. 183-193
    • Kirchner, H.O.K.1    Lazar, M.2
  • 26
    • 0020826710 scopus 로고
    • Size effects and micromechanics of a porous solid
    • Lakes R.C. Size effects and micromechanics of a porous solid. Journal of Materials Science 18 (1983) 2572-2581
    • (1983) Journal of Materials Science , vol.18 , pp. 2572-2581
    • Lakes, R.C.1
  • 28
    • 24644502714 scopus 로고    scopus 로고
    • Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity
    • Lazar M., and Maugin G.A. Nonsingular stress and strain fields of dislocations and disclinations in first strain gradient elasticity. International Journal of Engineering Science 43 13-14 (2005) 1157-1184
    • (2005) International Journal of Engineering Science , vol.43 , Issue.13-14 , pp. 1157-1184
    • Lazar, M.1    Maugin, G.A.2
  • 29
    • 27144520045 scopus 로고    scopus 로고
    • On dislocations in a special class of generalized elasticity
    • Lazar M., Maugin G.A., and Aifantis E.C. On dislocations in a special class of generalized elasticity. Physica Status Solidi (b) 242 (2005) 2365-2390
    • (2005) Physica Status Solidi (b) , vol.242 , pp. 2365-2390
    • Lazar, M.1    Maugin, G.A.2    Aifantis, E.C.3
  • 31
    • 0012251847 scopus 로고
    • Theories of elastic continua and crystal lattice theories
    • Kroener E. (Ed), Springer, Berlin
    • Mindlin R.D. Theories of elastic continua and crystal lattice theories. In: Kroener E. (Ed). Mechanics of Generalized Continua IUTAM Symposium (1968), Springer, Berlin 312-320
    • (1968) Mechanics of Generalized Continua IUTAM Symposium , pp. 312-320
    • Mindlin, R.D.1
  • 32
    • 0001449511 scopus 로고
    • Elasticity, piezoelasticity and crystal lattice dynamics
    • Mindlin R.D. Elasticity, piezoelasticity and crystal lattice dynamics. Journal of Elasticity 2 4 (1972) 217-282
    • (1972) Journal of Elasticity , vol.2 , Issue.4 , pp. 217-282
    • Mindlin, R.D.1
  • 34
    • 0036533692 scopus 로고    scopus 로고
    • A quantitative study of minimum size of representative volume elements of cubic polycrystals - numerical experiments
    • Ren Z.-Y., and Zheng Q.-S. A quantitative study of minimum size of representative volume elements of cubic polycrystals - numerical experiments. Journal of Physics of Solids 50 (2002) 881-893
    • (2002) Journal of Physics of Solids , vol.50 , pp. 881-893
    • Ren, Z.-Y.1    Zheng, Q.-S.2
  • 35
    • 0030300132 scopus 로고    scopus 로고
    • An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone
    • Rho J.Y. An ultrasonic method for measuring the elastic properties of human tibial cortical and cancellous bone. Ultrasonics 34 (1996) 777-783
    • (1996) Ultrasonics , vol.34 , pp. 777-783
    • Rho, J.Y.1
  • 36
    • 0002471276 scopus 로고
    • A simple approach to solve boundary-value problems in gradient elasticity
    • Ru C.Q., and Aifantis E.C. A simple approach to solve boundary-value problems in gradient elasticity. Acta Mechanica 101 (1993) 59-68
    • (1993) Acta Mechanica , vol.101 , pp. 59-68
    • Ru, C.Q.1    Aifantis, E.C.2
  • 37
    • 0038746383 scopus 로고    scopus 로고
    • A two-dimensional finite element implementation of a special form of gradient elasticity
    • Tenek L.T., and Aifantis E.C. A two-dimensional finite element implementation of a special form of gradient elasticity. Computer Modeling in Engineering and Sciences 3 (2002) 731-741
    • (2002) Computer Modeling in Engineering and Sciences , vol.3 , pp. 731-741
    • Tenek, L.T.1    Aifantis, E.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.