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Volumn 58, Issue 6, 2010, Pages 860-873

Constitutive analysis of thin biological membranes with application to radial stretching of a hollow circular membrane

Author keywords

Membrane; Nonlinear elasticity; Red blood cell; Tension field; Wrinkling

Indexed keywords

APPLIED LOADING; CIRCULAR MEMBRANES; CIRCUMFERENTIAL STRESS; CLOSED FORM SOLUTIONS; CONSTITUTIVE ANALYSIS; DEFORMATION GRADIENTS; HOLE SIZE; IN-PLANE DEFORMATION; MECHANICAL RESPONSE; MEMBRANE AREA; MULTIPLICATIVE DECOMPOSITION; NONLINEAR ELASTICITY; RADIAL STRETCHING; RED BLOOD CELL; STRAIN ENERGY FUNCTIONS; STRESS CONCENTRATION FACTORS; THIN ELASTIC MEMBRANE;

EID: 77955175939     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2010.03.008     Document Type: Article
Times cited : (11)

References (29)
  • 2
    • 0004150063 scopus 로고    scopus 로고
    • Cambridge University Press New York
    • D. Boal Mechanics of the Cell 2002 Cambridge University Press New York
    • (2002) Mechanics of the Cell
    • Boal, D.1
  • 3
    • 0142075533 scopus 로고    scopus 로고
    • Mechanics of the human red blood cell deformed by optical tweezers
    • M. Dao, C.T. Lim, and S. Suresh Mechanics of the human red blood cell deformed by optical tweezers J. Mech. Phys. Solids 51 2003 2259 2280
    • (2003) J. Mech. Phys. Solids , vol.51 , pp. 2259-2280
    • Dao, M.1    Lim, C.T.2    Suresh, S.3
  • 4
    • 59649095044 scopus 로고    scopus 로고
    • Morhogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Fpplvon Karman limit
    • J. Dervaux, P. Ciarletta, and M. Ben Amar Morhogenesis of thin hyperelastic plates: a constitutive theory of biological growth in the Fpplvon Karman limit J. Mech. Phys. Solids 57 2009 458 471
    • (2009) J. Mech. Phys. Solids , vol.57 , pp. 458-471
    • Dervaux, J.1    Ciarletta, P.2    Ben Amar, M.3
  • 7
    • 33646143014 scopus 로고    scopus 로고
    • Biological remodelling: Stationary energy, configurational change, internal variables and dissipation
    • K. Garikipati, J.E. Olberdin, H. Narayanan, E.M. Arruda, K. Grosh, and S. Calve Biological remodelling: stationary energy, configurational change, internal variables and dissipation J. Mech. Phys. Solids 54 2006 1493 1515
    • (2006) J. Mech. Phys. Solids , vol.54 , pp. 1493-1515
    • Garikipati, K.1    Olberdin, J.E.2    Narayanan, H.3    Arruda, E.M.4    Grosh, K.5    Calve, S.6
  • 8
    • 33846552346 scopus 로고    scopus 로고
    • Active elastic network: Cytoskeleton of the red blood cell
    • N.S. Gov Active elastic network: cytoskeleton of the red blood cell Phys. Rev. E 75 2007 011921-1 011921-6
    • (2007) Phys. Rev. e , vol.75 , pp. 0119211-0119216
    • Gov, N.S.1
  • 10
    • 0030053840 scopus 로고    scopus 로고
    • An elastic network model based on the structure of the red blood cell membrane skeleton
    • J.C. Hansen, R. Skalak, S. Chien, and A. Hoger An elastic network model based on the structure of the red blood cell membrane skeleton Biophys. J. 70 1996 146 166
    • (1996) Biophys. J. , vol.70 , pp. 146-166
    • Hansen, J.C.1    Skalak, R.2    Chien, S.3    Hoger, A.4
  • 11
    • 0028496015 scopus 로고
    • Analysis of partly wrinkled membranes by the method of dynamic relaxation
    • E.M. Haseganu, and D.J. Steigmann Analysis of partly wrinkled membranes by the method of dynamic relaxation Comput. Mech. 14 1994 596 614
    • (1994) Comput. Mech. , vol.14 , pp. 596-614
    • Haseganu, E.M.1    Steigmann, D.J.2
  • 12
    • 0032313825 scopus 로고    scopus 로고
    • Exact solutions for elastic membrane disks
    • D.M. Haughton Exact solutions for elastic membrane disks Math. Mech. Solids 4 1998 393 410
    • (1998) Math. Mech. Solids , vol.4 , pp. 393-410
    • Haughton, D.M.1
  • 14
    • 0029250401 scopus 로고
    • Wrinkling of annular discs subjected to radial displacements
    • D.M. Haughton, and B.A. McKay Wrinkling of annular discs subjected to radial displacements Int. J. Eng. Sci. 33 1995 335 350
    • (1995) Int. J. Eng. Sci. , vol.33 , pp. 335-350
    • Haughton, D.M.1    McKay, B.A.2
  • 15
    • 84943997802 scopus 로고
    • Elastic properties of lipid bilayers: Theory and possible experiments
    • W. Helfrich Elastic properties of lipid bilayers: theory and possible experiments Z. Naturforsch. 28C 1973 693 703
    • (1973) Z. Naturforsch. , vol.28 , pp. 693-703
    • Helfrich, W.1
  • 17
    • 0036737932 scopus 로고    scopus 로고
    • On the mechanics of solids with a growing mass
    • V.A. Lubarda, and A. Hoger On the mechanics of solids with a growing mass Int. J. Solids Struct. 39 2002 4627 4664
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 4627-4664
    • Lubarda, V.A.1    Hoger, A.2
  • 18
    • 58149353009 scopus 로고    scopus 로고
    • Viscoelastic response of thin membranes with application to red blood cells
    • V.A. Lubarda, and A. Marzani Viscoelastic response of thin membranes with application to red blood cells Acta Mech. 202 2009 1 16 (with Addendum, Acta Mechanica, in press)
    • (2009) Acta Mech. , vol.202 , pp. 1-16
    • Lubarda, V.A.1    Marzani, A.2
  • 19
    • 0009070018 scopus 로고
    • On the buckling of an annular plate
    • E.H. Mansfield On the buckling of an annular plate Q. J. Mech. Appl. Math. 13 1960 16 23
    • (1960) Q. J. Mech. Appl. Math. , vol.13 , pp. 16-23
    • Mansfield, E.H.1
  • 24
    • 77955278685 scopus 로고
    • The relaxed energy density for isotropic elastic membranes
    • A.C. Pipkin The relaxed energy density for isotropic elastic membranes IMA J. Appl. Math. 36 1986 85 99
    • (1986) IMA J. Appl. Math. , vol.36 , pp. 85-99
    • Pipkin, A.C.1
  • 26
    • 1842475755 scopus 로고
    • Large elastic deformations of isotropic materials. VIII. Strain distribution around a hole in a sheet
    • R.S. Rivlin, and A.G. Thomas Large elastic deformations of isotropic materials. VIII. Strain distribution around a hole in a sheet Philos. Trans. R. Soc. Lond. A 243 1951 289 298
    • (1951) Philos. Trans. R. Soc. Lond. A , vol.243 , pp. 289-298
    • Rivlin, R.S.1    Thomas, A.G.2
  • 28
    • 0033267258 scopus 로고    scopus 로고
    • Fluid films with curvature elasticity
    • D.J. Steigmann Fluid films with curvature elasticity Arch. Ration. Mech. Anal. 150 1999 127 152
    • (1999) Arch. Ration. Mech. Anal. , vol.150 , pp. 127-152
    • Steigmann, D.J.1
  • 29
    • 69649090261 scopus 로고    scopus 로고
    • Towards a unified theory for morphomechanics
    • L.A. Taber Towards a unified theory for morphomechanics Philos. Trans. R. Soc. A 367 2009 3555 3583
    • (2009) Philos. Trans. R. Soc. A , vol.367 , pp. 3555-3583
    • Taber, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.