메뉴 건너뛰기




Volumn 193, Issue 23-26, 2004, Pages 2357-2381

Material forces in open system mechanics

Author keywords

Biomechanics; Material force method; Material inhomogeneities; Open system mechanics; Spatial and material setting

Indexed keywords

ALGORITHMS; BIOMECHANICS; COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; MATERIALS SCIENCE; MATHEMATICAL MODELS; MECHANICAL ENGINEERING; THERMODYNAMICS;

EID: 4444288835     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.01.022     Document Type: Article
Times cited : (30)

References (47)
  • 1
    • 4444256024 scopus 로고    scopus 로고
    • An ALE formulation based on spatial and material settings of continuum mechanics. Part 2: Classification and applications
    • in press
    • H. Askes, E. Kuhl, P. Steinmann, An ALE formulation based on spatial and material settings of continuum mechanics. Part 2: Classification and applications, Comput. Methods Appl. Mech. Engrg., in press
    • Comput. Methods Appl. Mech. Engrg.
    • Askes, H.1    Kuhl, E.2    Steinmann, P.3
  • 2
    • 0025486317 scopus 로고
    • An approach for time-dependent bone modelling and remodelling
    • Beaupré G.S. Orr T.E. Carter D.R. An approach for time-dependent bone modelling and remodelling J. Orth. Res. 8 1990 651-670
    • (1990) J. Orth. Res. , vol.8 , pp. 651-670
    • Beaupré, G.S.1    Orr, T.E.2    Carter, D.R.3
  • 3
    • 0001990858 scopus 로고    scopus 로고
    • Configurational forces induced by finite-element discretizations
    • Braun M. Configurational forces induced by finite-element discretizations Proc. Estonian Acad. Sci. Phys. Math. 46 1997 24-31
    • (1997) Proc. Estonian Acad. Sci. Phys. Math. , vol.46 , pp. 24-31
    • Braun, M.1
  • 5
    • 0042980074 scopus 로고
    • The behavior of bone as a two-phase porous structure
    • Carter D.R. Hayes W.C. The behavior of bone as a two-phase porous structure J. Bone Joint Surg. 59-A 1977 785-794
    • (1977) J. Bone Joint Surg. , vol.59 A , pp. 785-794
    • Carter, D.R.1    Hayes, W.C.2
  • 6
    • 0016974131 scopus 로고
    • Bone remodelling I: Theory of adaptive elasticity
    • Cowin S.C. Hegedus D.H. Bone remodelling I: Theory of adaptive elasticity J. Elasticity 6 1976 313-326
    • (1976) J. Elasticity , vol.6 , pp. 313-326
    • Cowin, S.C.1    Hegedus, D.H.2
  • 7
    • 0344062902 scopus 로고    scopus 로고
    • Studies in elastic fracture mechanics based on the material force method
    • Denzer R. Barth F.J. Steinmann P. Studies in elastic fracture mechanics based on the material force method Int. J. Num. Methods Engrg. 58 2003 1817-1835
    • (2003) Int. J. Num. Methods Engrg. , vol.58 , pp. 1817-1835
    • Denzer, R.1    Barth, F.J.2    Steinmann, P.3
  • 8
    • 0025559935 scopus 로고
    • The energy-momentum tensor and material uniformity in finite elasticity
    • Epstein M. Maugin G.A. The energy-momentum tensor and material uniformity in finite elasticity Acta Mech. 83 1990 127-133
    • (1990) Acta Mech. , vol.83 , pp. 127-133
    • Epstein, M.1    Maugin, G.A.2
  • 9
    • 0033750776 scopus 로고    scopus 로고
    • Thermomechanics of volumetric growth in uniform bodies
    • Epstein M. Maugin G.A. Thermomechanics of volumetric growth in uniform bodies Int. J. Plasticity 16 2000 951-978
    • (2000) Int. J. Plasticity , vol.16 , pp. 951-978
    • Epstein, M.1    Maugin, G.A.2
  • 11
    • 0000929676 scopus 로고
    • The determination of the elastic field of an ellipsoidal inclusion and related problems
    • Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problems Proc. Roy. Soc. Lond. A 241 1957 376-396
    • (1957) Proc. Roy. Soc. Lond. A , vol.241 , pp. 376-396
    • Eshelby, J.D.1
  • 14
    • 0020477515 scopus 로고
    • The mechanics of three-dimensional cellular materials
    • Gibson L.J. Ashby M.F. The mechanics of three-dimensional cellular materials Proc. Roy. Soc. Lond. A 382 1982 43-59
    • (1982) Proc. Roy. Soc. Lond. A , vol.382 , pp. 43-59
    • Gibson, L.J.1    Ashby, M.F.2
  • 16
    • 0001965681 scopus 로고
    • On the nature of configurational forces
    • Gurtin M.E. On the nature of configurational forces Arch. Rat. Mech. Anal. 131 1995 67-100
    • (1995) Arch. Rat. Mech. Anal. , vol.131 , pp. 67-100
    • Gurtin, M.E.1
  • 18
    • 0027094719 scopus 로고
    • Optimality condition for finite element simulation of adaptive bone remodeling
    • Harrigan T.P. Hamilton J.J. Optimality condition for finite element simulation of adaptive bone remodeling Int. J. Solids Struct. 29 1992 2897-2906
    • (1992) Int. J. Solids Struct. , vol.29 , pp. 2897-2906
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 19
    • 0027555703 scopus 로고
    • Finite element simulation of adaptive bone remodelling: A stability criterion and a time stepping method
    • Harrigan T.P. Hamilton J.J. Finite element simulation of adaptive bone remodelling: A stability criterion and a time stepping method Int. J. Num. Methods Engrg. 36 1993 837-854
    • (1993) Int. J. Num. Methods Engrg. , vol.36 , pp. 837-854
    • Harrigan, T.P.1    Hamilton, J.J.2
  • 21
    • 0029278121 scopus 로고
    • Numerical instabilities in bone remodeling simulations: The advantages of a node-based finite element approach
    • Jacobs C.R. Levenston M.E. Beaupré G.S. Simo J.C. Carter D.R. Numerical instabilities in bone remodeling simulations: The advantages of a node-based finite element approach J. Biomech. 28 1995 449-459
    • (1995) J. Biomech. , vol.28 , pp. 449-459
    • Jacobs, C.R.1    Levenston, M.E.2    Beaupré, G.S.3    Simo, J.C.4    Carter, D.R.5
  • 22
    • 0031172266 scopus 로고    scopus 로고
    • Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations
    • Jacobs C.R. Simo J.C. Beaupré G.S. Carter D.R. Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations J. Biomech. 30 1997 603-613
    • (1997) J. Biomech. , vol.30 , pp. 603-613
    • Jacobs, C.R.1    Simo, J.C.2    Beaupré, G.S.3    Carter, D.R.4
  • 24
    • 1542722163 scopus 로고    scopus 로고
    • Mass and volume specific views on thermodynamics for open systems
    • Kuhl E. Steinmann P. Mass and volume specific views on thermodynamics for open systems Proc. Roy. Soc. Lond. 459 2003 2547-2568
    • (2003) Proc. Roy. Soc. Lond. , vol.459 , pp. 2547-2568
    • Kuhl, E.1    Steinmann, P.2
  • 25
    • 0037301832 scopus 로고    scopus 로고
    • On spatial and material settings of thermo-hyperelastodynamics for open systems
    • Kuhl E. Steinmann P. On spatial and material settings of thermo-hyperelastodynamics for open systems Acta Mech. 160 2003 179-217
    • (2003) Acta Mech. , vol.160 , pp. 179-217
    • Kuhl, E.1    Steinmann, P.2
  • 26
    • 0344440909 scopus 로고    scopus 로고
    • Theory and numerics of geometrically non-linear open system mechancis
    • Kuhl E. Steinmann P. Theory and numerics of geometrically non-linear open system mechancis Int. J. Num. Methods Engrg. 58 2003 1593-1615
    • (2003) Int. J. Num. Methods Engrg. , vol.58 , pp. 1593-1615
    • Kuhl, E.1    Steinmann, P.2
  • 27
    • 0242406037 scopus 로고    scopus 로고
    • Computational modeling of growth: A critical review, a classification of concepts and two new consistent approaches
    • Kuhl E. Menzel A. Steinmann P. Computational modeling of growth: A critical review, a classification of concepts and two new consistent approaches Comput. Mech. 32 2003 71-88
    • (2003) Comput. Mech. , vol.32 , pp. 71-88
    • Kuhl, E.1    Menzel, A.2    Steinmann, P.3
  • 28
    • 13944284152 scopus 로고    scopus 로고
    • Computational modeling of healing: An application of the material force method
    • in press
    • E. Kuhl, P. Steinmann, Computational modeling of healing: An application of the material force method, Biomech. Mod. Mechanobiol., in press
    • Biomech. Mod. Mechanobiol.
    • Kuhl, E.1    Steinmann, P.2
  • 29
    • 2942755683 scopus 로고    scopus 로고
    • Application of the material force method to thermo-hyperelasticity
    • in press. PII: S0045-7825(04)00136-7. doi:10.1016/j.cma.2003.09.021
    • E. Kuhl, R. Denzer, F.J. Barth, P. Steinmann, Application of the material force method to thermo-hyperelasticity, Comput. Meth. Appl. Mech. Engrg., in press. PII: S0045-7825(04)00136-7 doi:10.1016/j.cma.2003.09.021
    • Comput. Meth. Appl. Mech. Engrg.
    • Kuhl, E.1    Denzer, R.2    Barth, F.J.3    Steinmann, P.4
  • 30
    • 4444316271 scopus 로고    scopus 로고
    • An ALE formulation based on spatial and material settings of continuum mechanics. Part 1: Generic hyperelastic formulation
    • in press
    • E. Kuhl, H. Askes, P. Steinmann, An ALE formulation based on spatial and material settings of continuum mechanics. Part 1: Generic hyperelastic formulation, Comput. Methods Appl. Mech. Engrg., in press
    • Comput. Methods Appl. Mech. Engrg.
    • Kuhl, E.1    Askes, H.2    Steinmann, P.3
  • 31
    • 0037298494 scopus 로고    scopus 로고
    • Application of the material force method to isotropic continuum damage
    • Liebe T. Denzer R. Steinmann P. Application of the material force method to isotropic continuum damage Comput. Mech. 30 2003 171-184
    • (2003) Comput. Mech. , vol.30 , pp. 171-184
    • Liebe, T.1    Denzer, R.2    Steinmann, P.3
  • 33
    • 0029297165 scopus 로고
    • Material forces: Concepts and applications
    • Maugin G.A. Material forces: Concepts and applications Appl. Mech. Rev. 48 1995 213-245
    • (1995) Appl. Mech. Rev. , vol.48 , pp. 213-245
    • Maugin, G.A.1
  • 34
    • 0037051076 scopus 로고    scopus 로고
    • On configurational forces in the context of the finite element method
    • Müller R. Kolling S. Gross D. On configurational forces in the context of the finite element method Int. J. Num. Methods Engrg. 53 2002 1557-1574
    • (2002) Int. J. Num. Methods Engrg. , vol.53 , pp. 1557-1574
    • Müller, R.1    Kolling, S.2    Gross, D.3
  • 35
    • 0036648320 scopus 로고    scopus 로고
    • On material forces and finite element discretizations
    • Müller R. Maugin G.A. On material forces and finite element discretizations Comput. Mech. 29 2002 52-61
    • (2002) Comput. Mech. , vol.29 , pp. 52-61
    • Müller, R.1    Maugin, G.A.2
  • 38
    • 0028419679 scopus 로고
    • Stress-dependent finite growth in soft elastic tissues
    • Rodriguez E.K. Hoger A. Mc Culloch A.D. Stress-dependent finite growth in soft elastic tissues J. Biomech. 27 1994 455-467
    • (1994) J. Biomech. , vol.27 , pp. 455-467
    • Rodriguez, E.K.1    Hoger, A.2    Mc Culloch, A.D.3
  • 39
    • 0001279001 scopus 로고
    • Inverse deformation results in finite elasticity
    • Shield R.T. Inverse deformation results in finite elasticity ZAMP 18 1967 490-500
    • (1967) ZAMP , vol.18 , pp. 490-500
    • Shield, R.T.1
  • 41
    • 0036344351 scopus 로고    scopus 로고
    • On spatial and material settings of hyperelastodynamics
    • Steinmann P. On spatial and material settings of hyperelastodynamics Acta Mech. 156 2002 193-218
    • (2002) Acta Mech. , vol.156 , pp. 193-218
    • Steinmann, P.1
  • 42
    • 0036916829 scopus 로고    scopus 로고
    • On spatial and material settings of thermo-hyperelastodynamics
    • Steinmann P. On spatial and material settings of thermo-hyperelastodynamics J. Elasticity 66 2002 109-157
    • (2002) J. Elasticity , vol.66 , pp. 109-157
    • Steinmann, P.1
  • 43
    • 0035859161 scopus 로고    scopus 로고
    • Application of material forces to hyperelastostatic fracture mechanics. II. Computational setting
    • Steinmann P. Ackermann D. Barth F.J. Application of material forces to hyperelastostatic fracture mechanics. II. Computational setting Int. J. Solids Struct. 38 2001 5509-5526
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 5509-5526
    • Steinmann, P.1    Ackermann, D.2    Barth, F.J.3
  • 44
    • 85015553125 scopus 로고
    • Biomechanics of growth, remodeling, and morphogenesis
    • Taber L.A. Biomechanics of growth, remodeling, and morphogenesis ASME Appl. Mech. Rev. 48 1995 487-545
    • (1995) ASME Appl. Mech. Rev. , vol.48 , pp. 487-545
    • Taber, L.A.1
  • 45
    • 0026970492 scopus 로고
    • The behavior of adaptive bone-remodeling simulation models
    • Weinans H. Huiskes R. Grootenboer H.J. The behavior of adaptive bone-remodeling simulation models J. Biomech. 25 1992 1425-1441
    • (1992) J. Biomech. , vol.25 , pp. 1425-1441
    • Weinans, H.1    Huiskes, R.2    Grootenboer, H.J.3
  • 46
    • 0028533208 scopus 로고
    • Effects of fit and bonding characteristics of femoral stems on adaptive bone remodeling
    • Weinans H. Huiskes R. Grootenboer H.J. Effects of fit and bonding characteristics of femoral stems on adaptive bone remodeling J. Biomech. Eng. 116 1994 393-400
    • (1994) J. Biomech. Eng. , vol.116 , pp. 393-400
    • Weinans, H.1    Huiskes, R.2    Grootenboer, H.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.