메뉴 건너뛰기




Volumn 32, Issue 2, 2009, Pages 135-156

Computational continuum biomechanics with application to swelling media and growth phenomena

Author keywords

Continuum biomechanics; Growth; Multiphasic materials; Swelling; TPM

Indexed keywords


EID: 73849106062     PISSN: 09367195     EISSN: None     Source Type: Journal    
DOI: 10.1002/gamm.200910013     Document Type: Article
Times cited : (9)

References (45)
  • 3
    • 55149085639 scopus 로고    scopus 로고
    • Bridgingscales-athree-dimensionalelec- tromechanical finite element model of skeletal muscle
    • Röhrle, O., Davidson, J.B. & Pullan, A.J.: Bridgingscales-athree-dimensionalelec- tromechanical finite element model of skeletal muscle. SIAM Journal on Scientific Com- puting 30 (2008), 2882-2904.
    • (2008) Siam Journal On Scientific Com- Puting , vol.30 , pp. 2882-2904
    • Röhrle, O.1    Davidson, J.B.2    Pullan, A.J.3
  • 4
    • 28444472764 scopus 로고    scopus 로고
    • Analysis of large compression loads on lumbar spine in flexion and torsion using a novel wrapping element
    • Shirazi-Adl, A.: Analysis of large compression loads on lumbar spine in flexion and torsion using a novel wrapping element. Journal of Biomechanics 39 (2006), 267-275.
    • (2006) Journal of Biomechanics , vol.39 , pp. 267-275
    • Shirazi-Adl, A.1
  • 5
    • 0028387380 scopus 로고
    • Nonlinear stress analysis of the whole lumbar spine in torsion- mechanics of facet articulation
    • Shirazi-Adl, A.: Nonlinear stress analysis of the whole lumbar spine in torsion- mechanics of facet articulation. Journal of Biomechanics 27 (1994), 289-299.
    • (1994) Journal of Biomechanics , vol.27 , pp. 289-299
    • Shirazi-Adl, A.1
  • 6
    • 0033213846 scopus 로고    scopus 로고
    • Application of a fiber-reinforced continuum theory to multiple deformations of the annulus fibrosus
    • Klisch, S. M. & Lotz, J. C.: Application of a fiber-reinforced continuum theory to multiple deformations of the annulus fibrosus. Journal of Biomechanics 32 (1999), 1027-1036.
    • (1999) Journal of Biomechanics , vol.32 , pp. 1027-1036
    • Klisch, S.M.1    Lotz, J.C.2
  • 7
    • 0034434740 scopus 로고    scopus 로고
    • A new constitutive framework for arterial wall mechanics and a comparative study of material models
    • Holzapfel, G. A.; Gasser, T. C. & Ogden, R. W.: A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity 61 (2000),1-48.
    • (2000) Journal of Elasticity , vol.61 , pp. 1-48
    • Holzapfel, G.A.1    Gasser, T.C.2    Ogden, R.W.3
  • 8
    • 0032124968 scopus 로고    scopus 로고
    • Biomechanical behavior of the arterial wall and its numerical characterization
    • Holzapfel, G. A. & Weizsäcker, H. W.: Biomechanical behavior of the arterial wall and its numerical characterization. Computers in Biology and Medicine 28 (1998), 377-392.
    • (1998) Computers In Biology and Medicine , vol.28 , pp. 377-392
    • Holzapfel, G.A.1    Weizsäcker, H.W.2
  • 11
    • 5444242036 scopus 로고    scopus 로고
    • Multi-segment FEA of the human lumbar spine including the heterogeneity of the anulus fibrosus
    • Eberlein, R.; Holzapfel, G. A. & Fröhlich, M.: Multi-segment FEA of the human lumbar spine including the heterogeneity of the anulus fibrosus. Computational Mechanics 34 (2004),147-165.
    • (2004) Computational Mechanics , vol.34 , pp. 147-165
    • Eberlein, R.1    Holzapfel, G.A.2    Fröhlich, M.3
  • 13
    • 0034176422 scopus 로고    scopus 로고
    • A linear material model for fiber-induced anisotropy of the anulus fibrosus
    • Elliott, D. M. & Setton, L. A.: A linear material model for fiber-induced anisotropy of the anulus fibrosus. ASME Journal of Biomechanical Engineering 122 (2000), 173-179.
    • (2000) Asme Journal of Biomechanical Engineering , vol.122 , pp. 173-179
    • Elliott, D.M.1    Setton, L.A.2
  • 14
    • 33244459418 scopus 로고    scopus 로고
    • Application of a new calibration method for a three-dimensional finite element model of a human lumbar annulus fibrosus
    • Schmidt, H.; Heuer, F.; Simon, U.; Kettler, A.; Rohlmann, A.; Claes, L. & Wilke, H.-J.: Application of a new calibration method for a three-dimensional finite element model of a human lumbar annulus fibrosus. Clinical Biomechanics 21 (2006), 337-344.
    • (2006) Clinical Biomechanics , vol.21 , pp. 337-344
    • Schmidt, H.1    Heuer, F.2    Simon, U.3    Kettler, A.4    Rohlmann, A.5    Claes, L.6    Wilke, H.-J.7
  • 15
    • 0035946893 scopus 로고    scopus 로고
    • A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications
    • Holzapfel, G. A. & Gasser, T. C.: A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications. Computer Methods in Applied Mechanics and Engineering 190 (2001), 4379-4403.
    • (2001) Computer Methods In Applied Mechanics and Engineering , vol.190 , pp. 4379-4403
    • Holzapfel, G.A.1    Gasser, T.C.2
  • 16
    • 85015553125 scopus 로고
    • Biomechanics of growth, remodeling and morphogenesis
    • Taber, L. A.: Biomechanics of growth, remodeling and morphogenesis. Applied Mechanics Review 48 (1995), 487-545.
    • (1995) Applied Mechanics Review , vol.48 , pp. 487-545
    • Taber, L.A.1
  • 17
    • 15544378329 scopus 로고    scopus 로고
    • Continuum biomechanics of soft biological tissues
    • Humphrey, J. D.: Continuum biomechanics of soft biological tissues. Proceedings of the Royal Society A 1 (2002), 1-44.
    • (2002) Proceedings of The Royal Society A , vol.1 , pp. 1-44
    • Humphrey, J.D.1
  • 18
    • 0019148092 scopus 로고
    • Incompressible porous media models by use of the theory of mixtures
    • Bowen, R. M.: Incompressible porous media models by use of the theory of mixtures. International Journal of Engineering Sciences 18 (1980), 1129-1148.
    • (1980) International Journal of Engineering Sciences , vol.18 , pp. 1129-1148
    • Bowen, R.M.1
  • 19
    • 0020006949 scopus 로고
    • Compressible porous media models by use of the theory of mixtures
    • Bowen, R. M.: Compressible porous media models by use of the theory of mixtures. International Journal of Engineering Sciences 20 (1982), 697-735.
    • (1982) International Journal of Engineering Sciences , vol.20 , pp. 697-735
    • Bowen, R.M.1
  • 22
    • 0001253992 scopus 로고    scopus 로고
    • Constitutive equations for granular materials in geomechanical context
    • Hutter, K. (ed.), Springer-Verlag, Wien 1993, CISM Courses and Lectures No
    • Ehlers, W.: Constitutive equations for granular materials in geomechanical context. In Continuum Mechanics in Environmental Sciences and Geophysics, Hutter, K. (ed.), Springer-Verlag, Wien 1993, CISM Courses and Lectures No. 337, pp. 313-402.
    • Continuum Mechanics In Environmental Sciences and Geophysics , Issue.337 , pp. 313-402
    • Ehlers, W.1
  • 23
    • 0003035407 scopus 로고    scopus 로고
    • Grundlegende Konzepte in der Theorie Poröser Medien
    • Ehlers, W.: Grundlegende Konzepte in der Theorie Poröser Medien. Technische Mechanik 16 (1996), 63-76.
    • (1996) Technische Mechanik , vol.16 , pp. 63-76
    • Ehlers, W.1
  • 24
    • 0142036606 scopus 로고    scopus 로고
    • Foundations of multiphasic and porous materials
    • In Porous Media: Theory, Ehlers, W. & Bluhm, J. (eds.), SpringerVerlag, Berlin
    • Ehlers, W.: Foundations of multiphasic and porous materials. In Porous Media: Theory, Experiments and Numerical Applications, Ehlers, W. & Bluhm, J. (eds.), SpringerVerlag, Berlin 2002, pp. 3-86.
    • (2002) Experiments and Numerical Applications , pp. 3-86
    • Ehlers, W.1
  • 25
    • 0002004386 scopus 로고
    • Theory of mixtures
    • Eringen, A. C. (ed.), Academic Press, New York, Vol. III
    • Bowen, R. M.: Theory of mixtures. In Continuum Physics, Eringen, A. C. (ed.), Academic Press, New York 1976, Vol. III, pp. 1-127.
    • (1976) Continuum Physics , pp. 1-127
    • Bowen, R.M.1
  • 26
    • 59449089319 scopus 로고    scopus 로고
    • The role of weakly imposed Dirichlet boundary conditions for numerically stable computations of swelling phenomena
    • Ehlers, W. & Acartürk, A.: The role of weakly imposed Dirichlet boundary conditions for numerically stable computations of swelling phenomena. Computational Mechanics 43 (2009),545-557.
    • (2009) Computational Mechanics , vol.43 , pp. 545-557
    • Ehlers, W.1    Acartürk, A.2
  • 27
    • 67349201415 scopus 로고    scopus 로고
    • An extended biphasic model for charged hydrated tissues with application to the intervertebral disc
    • Ehlers, W.; Karajan, N. & Markert, B.: An extended biphasic model for charged hydrated tissues with application to the intervertebral disc. Biomechanics and Modeling in Mechanobiology 8 (2009), 233-251.
    • (2009) Biomechanics and Modeling In Mechanobiology , vol.8 , pp. 233-251
    • Ehlers, W.1    Karajan, N.2    Markert, B.3
  • 29
    • 0032321884 scopus 로고    scopus 로고
    • Finite elastic deformations in liquid-saturated and empty porous solids
    • Ehlers, W. & Eipper, G.: Finite elastic deformations in liquid-saturated and empty porous solids. Transport in Porous Media 34 (1999), 179-191.
    • (1999) Transport In Porous Media , vol.34 , pp. 179-191
    • Ehlers, W.1    Eipper, G.2
  • 35
    • 0042092264 scopus 로고    scopus 로고
    • Volumetric growth of thermoelastic materials and mixtures
    • Klisch, S. M. & Hoger, A.: Volumetric growth of thermoelastic materials and mixtures. Mathematics and Mechanics of Solids 8 (2003), 377-402.
    • (2003) Mathematics and Mechanics of Solids , vol.8 , pp. 377-402
    • Klisch, S.M.1    Hoger, A.2
  • 38
    • 0024281372 scopus 로고
    • Cell and environment interactions in tumor microregions: The multicell spheroid model
    • Sutherland, R. M.: Cell and environment interactions in tumor microregions: the multicell spheroid model. Science 240 (1988), 177-184.
    • (1988) Science , vol.240 , pp. 177-184
    • Sutherland, R.M.1
  • 40
    • 2542444181 scopus 로고    scopus 로고
    • The role of stress in the growth of a multicell spheroid
    • Ambrosi, D. & Mollica, F.: The role of stress in the growth of a multicell spheroid. Journal of Mathematical Biology 48 (2004), 477-499.
    • (2004) Journal of Mathematical Biology , vol.48 , pp. 477-499
    • Ambrosi, D.1    Mollica, F.2
  • 43
    • 0242426536 scopus 로고    scopus 로고
    • Solid stress generated by spheroid growth estimated using a poroelasticity model
    • Roose, T.; Netti, P. A.; Munn, L. L.; Boucher, Y. & Jain, R. K.: Solid stress generated by spheroid growth estimated using a poroelasticity model. Microvascular Research 66 (2003),204-212.
    • (2003) Microvascular Research , vol.66 , pp. 204-212
    • Roose, T.1    Netti, P.A.2    Munn, L.L.3    Boucher, Y.4    Jain, R.K.5
  • 44
    • 38349180830 scopus 로고    scopus 로고
    • A constitutive approach to 3-d nonlinear fluid flow through finite deformable porous continua
    • Markert, B.: A constitutive approach to 3-d nonlinear fluid flow through finite deformable porous continua. Transport in Porous Media 70 (2007), 427-450.
    • (2007) Transport In Porous Media , vol.70 , pp. 427-450
    • Markert, B.1
  • 45


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.