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Volumn 8, Issue 5, 2009, Pages 345-358

Spherical indentation of soft matter beyond the Hertzian regime: Numerical and experimental validation of hyperelastic models

Author keywords

Elasticity; Hyperelasticity; Indentation; Mechanical properties

Indexed keywords

ATOMIC FORCE MICROSCOPY; BIOMECHANICS; CARTILAGE; CONSTITUTIVE MODELS; DEFORMATION; FINITE ELEMENT METHOD; GELS; HISTOLOGY; INDENTATION; STRAIN ENERGY; TISSUE ENGINEERING;

EID: 69249222771     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-008-0139-9     Document Type: Article
Times cited : (257)

References (65)
  • 2
    • 0041097550 scopus 로고
    • A three-dimensional constitutive model for the large deformation stretch behavior of rubber elastic materials
    • 10.1016/0022-5096(93)90013-6
    • EM Arruda MC Boyce 1993 A three-dimensional constitutive model for the large deformation stretch behavior of rubber elastic materials J Mech Phys Solids 41 389 412 10.1016/0022-5096(93)90013-6
    • (1993) J Mech Phys Solids , vol.41 , pp. 389-412
    • Arruda, E.M.1    Boyce, M.C.2
  • 3
    • 0030030502 scopus 로고    scopus 로고
    • The mechanical properties of the human cervical spinal cord in vitro
    • 10.1007/BF02770996
    • LE Bilston LE Thibault 1996 The mechanical properties of the human cervical spinal cord in vitro Ann Biomed Eng 24 67 74 10.1007/BF02770996
    • (1996) Ann Biomed Eng , vol.24 , pp. 67-74
    • Bilston, L.E.1    Thibault, L.E.2
  • 4
    • 0015956148 scopus 로고
    • Strain energy function for rubberlike materials based on a generalized measure of strain
    • 10.1122/1.549353
    • PJ Blatz SC Sharda NW Tschoegl 1974 Strain energy function for rubberlike materials based on a generalized measure of strain J Rheol (NYNY) 18 145 161 10.1122/1.549353
    • (1974) J Rheol (NYNY) , vol.18 , pp. 145-161
    • Blatz, P.J.1    Sharda, S.C.2    Tschoegl, N.W.3
  • 5
    • 0032494328 scopus 로고    scopus 로고
    • Nano-indentation of polymeric surfaces
    • 10.1088/0022-3727/31/19/006
    • BJ Briscoe L Fiori E Pelillo 1998 Nano-indentation of polymeric surfaces J Phys D 31 2395 2405 10.1088/0022-3727/31/19/006
    • (1998) J Phys D , vol.31 , pp. 2395-2405
    • Briscoe, B.J.1    Fiori, L.2    Pelillo, E.3
  • 6
    • 28544434437 scopus 로고    scopus 로고
    • Relationships between initial unloading slope, contact depth, and mechanical properties for spherical indentation in linear viscoelastic solids
    • DOI 10.1016/j.msea.2005.05.118, PII S0921509305008014
    • Y Cheng C Cheng 2005 Relationships between initial unloading slope, contact depth, and mechanical properties for spherical indentation in linear viscoelastic solids Mater Sci Eng A 409 93 99 10.1016/j.msea.2005.05.118 (Pubitemid 41742292)
    • (2005) Materials Science and Engineering A , vol.409 , Issue.1-2 , pp. 93-99
    • Cheng, Y.-T.1    Cheng, C.-M.2
  • 7
    • 0033213431 scopus 로고    scopus 로고
    • Analysis of indentation: Implications for measuring mechanical properties with atomic force microscopy
    • 10.1115/1.2835074
    • KD Costa FCP Yin 1999 Analysis of indentation: implications for measuring mechanical properties with atomic force microscopy J Biomech Eng 121 462 471 10.1115/1.2835074
    • (1999) J Biomech Eng , vol.121 , pp. 462-471
    • Costa, K.D.1    Yin, F.C.P.2
  • 8
    • 33646792964 scopus 로고    scopus 로고
    • Viscoelastic properties of zonal articular chondrocytes measured by atomic force microscopy
    • DOI 10.1016/j.joca.2005.12.003, PII S1063458405003493
    • EM Darling S Zauscher G Guilak 2006 Viscoelastic properties of zonal articular chondrocytes measured by atomic force microscopy Osteoarthr Cartil 14 571 579 10.1016/j.joca.2005.12.003 (Pubitemid 43758550)
    • (2006) Osteoarthritis and Cartilage , vol.14 , Issue.6 , pp. 571-579
    • Darling, E.M.1    Zauscher, S.2    Guilak, F.3
  • 9
    • 0035034782 scopus 로고    scopus 로고
    • Biphasic poroviscoelastic simulation of the unconfined compression of articular cartilage: II - Effect of variable strain rates
    • DOI 10.1115/1.1351887
    • MR DiSilvestro Q Zhu JK Suh 2001 Biphasic poroviscoelastic simulation of the unconfined compression of articular cartilage: II-Effect of variable strain rates J Biomech Eng 123 198 200 10.1115/1.1351887 (Pubitemid 32381709)
    • (2001) Journal of Biomechanical Engineering , vol.123 , Issue.2 , pp. 198-200
    • DiSilvestro, M.R.1    Zhu, Q.2    Suh, J.-K.F.3
  • 11
    • 0029203890 scopus 로고
    • Determining the mechanical properties of small volumes of material from submicrometer spherical indentations
    • 10.1557/JMR.1995.0101
    • JS Field MV Swain 1995 Determining the mechanical properties of small volumes of material from submicrometer spherical indentations J Mater Res 10 101 112 10.1557/JMR.1995.0101
    • (1995) J Mater Res , vol.10 , pp. 101-112
    • Field, J.S.1    Swain, M.V.2
  • 12
    • 0030086772 scopus 로고    scopus 로고
    • Indentation stress-strain curves for quasi-ductile ceramics
    • DOI 10.1016/1359-6454(95)00204-9
    • AC Fischer-Cripps BR Lawn 1996 Indentation stress-strain curves for "quasi-ductile" ceramics Acta Mater 44 519 527 10.1016/1359-6454(95) 00204-9 (Pubitemid 126341875)
    • (1996) Acta Materialia , vol.44 , Issue.2 , pp. 519-527
    • Fischer-Cripps, A.C.1    Lawn, B.R.2
  • 13
    • 34548541622 scopus 로고    scopus 로고
    • Mechanical properties of hyaline and repair cartilage studied by nanoindentation
    • DOI 10.1016/j.actbio.2007.04.005, PII S1742706107000633
    • O Franke K Durst V Maier M Goken T Birkholz H Schneider F Hennig K Gelse 2007 Mechanical properties of hyaline and repair cartilage studied by nanoindentation Acta Biomater 3 873 881 10.1016/j.actbio.2007.04.005 (Pubitemid 47382667)
    • (2007) Acta Biomaterialia , vol.3 , Issue.6 , pp. 873-881
    • Franke, O.1    Durst, K.2    Maier, V.3    Goken, M.4    Birkholz, T.5    Schneider, H.6    Hennig, F.7    Gelse, K.8
  • 14
    • 0014179220 scopus 로고
    • Elasticity of soft tissues in simple elongation
    • YC Fung 1967 Elasticity of soft tissues in simple elongation Am J Physiol 213 1532 1544
    • (1967) Am J Physiol , vol.213 , pp. 1532-1544
    • Fung, Y.C.1
  • 15
    • 0004376035 scopus 로고
    • Pseudoelasticity of arteries and the choice of its mathematical expression
    • YC Fung K Fronek P Patitucci 1979 Pseudoelasticity of arteries and the choice of its mathematical expression Am J Physiol 237 H620 H631
    • (1979) Am J Physiol , vol.237
    • Fung, Y.C.1    Fronek, K.2    Patitucci, P.3
  • 16
    • 0023435213 scopus 로고
    • Robber elasticity: A scaling approach
    • 10.1007/BF00256236
    • RJ Gaylord JF Douglas 1987 Robber elasticity: a scaling approach Polym Bull 18 347 354 10.1007/BF00256236
    • (1987) Polym Bull , vol.18 , pp. 347-354
    • Gaylord, R.J.1    Douglas, J.F.2
  • 17
    • 0025432281 scopus 로고
    • The localisation model of rubber elasticity. II
    • 10.1007/BF00419973
    • RJ Gaylord JF Douglas 1990 The localisation model of rubber elasticity. II Polym Bull 23 529 533 10.1007/BF00419973
    • (1990) Polym Bull , vol.23 , pp. 529-533
    • Gaylord, R.J.1    Douglas, J.F.2
  • 18
    • 0002163820 scopus 로고    scopus 로고
    • A new constitutive relation for rubber
    • A Gent 1996 A new constitutive relation for rubber Rubber Chem Technol 69 59 61
    • (1996) Rubber Chem Technol , vol.69 , pp. 59-61
    • Gent, A.1
  • 19
    • 0032990973 scopus 로고    scopus 로고
    • The deformation behavior and mechanical properties of chondrocytes in articular cartilage
    • DOI 10.1053/joca.1998.0162
    • F Guilak WR Jones HP Ting-Beall GM Lee 1999 The deformation behavior and mechanical properties of chondrocytes in articular cartilage Osteoarthr Cartil 7 59 70 10.1053/joca.1998.0162 (Pubitemid 29112960)
    • (1999) Osteoarthritis and Cartilage , vol.7 , Issue.1 , pp. 59-70
    • Guilak, F.1    Jones, W.R.2    Ting-Beall, H.P.3    Lee, G.M.4
  • 20
    • 27244438722 scopus 로고    scopus 로고
    • Zonal uniformity in mechanical properties of the chondrocyte pericellular matrix: Micropipette aspiration of canine chondrons isolated by cartilage homogenization
    • DOI 10.1007/s10439-005-4479-7
    • F Guilak LG Alexopoulos MA Haider HP Ting-Beall LA Setton 2005 Zonal uniformity in mechanical properties of the chondrocyte pericellular matrix: micropipette aspiration of canine chondrons isolated by cartilage homogenization Ann Biomed Eng 33 1312 1318 10.1007/s10439-005-4479-7 (Pubitemid 41521249)
    • (2005) Annals of Biomedical Engineering , vol.33 , Issue.10 , pp. 1312-1318
    • Guilak, F.1    Alexopoulos, L.G.2    Haider, M.A.3    Ting-Beall, H.P.4    Setton, L.A.5
  • 21
    • 33845379656 scopus 로고
    • Behavior of elastomer networks in moderately large deformations. 2. Determination of the parameters of the elastic potential from measurements in small deformations
    • 10.1021/ma00146a019
    • C Gurer NW Tschoegl 1985 Behavior of elastomer networks in moderately large deformations. 2. Determination of the parameters of the elastic potential from measurements in small deformations Macromolecules 18 687 690 10.1021/ma00146a019
    • (1985) Macromolecules , vol.18 , pp. 687-690
    • Gurer, C.1    Tschoegl, N.W.2
  • 22
    • 0032682708 scopus 로고    scopus 로고
    • Mechanical and swelling behaviors of rubber: A comparison of some molecular models with experiment
    • 10.1177/108128659900400201
    • WH Han F Horkay GB McKenna 1999 Mechanical and swelling behaviors of rubber: a comparison of some molecular models with experiment Math Mech Solids 4 139 167 10.1177/108128659900400201
    • (1999) Math Mech Solids , vol.4 , pp. 139-167
    • Han, W.H.1    Horkay, F.2
  • 23
    • 0035506133 scopus 로고    scopus 로고
    • On the measurement of stress-strain curves by spherical indentation
    • DOI 10.1016/S0040-6090(01)01439-0, PII S0040609001014390
    • EG Herbert GM Pharr WC Oliver BN Lucas JL Hay 2001 On the measurement of stress-strain curves by spherical indentation Thin Solid Films 398 -399 331 335 10.1016/S0040-6090(01)01439-0 (Pubitemid 33107112)
    • (2001) Thin Solid Films , vol.398-399 , pp. 331-335
    • Herbert, E.G.1    Pharr, G.M.2    Oliver, W.C.3    Lucas, B.N.4    Hay, J.L.5
  • 24
    • 1642355024 scopus 로고    scopus 로고
    • An attempt to determine the true stress-strain curves of amorphous polymers by nanoindentation
    • 10.1016/S0301-679X(03)00107-5
    • G Hochstetter A Jimenez JP Cano E Felder 2003 An attempt to determine the true stress-strain curves of amorphous polymers by nanoindentation Tribol Int 36 973 985 10.1016/S0301-679X(03)00107-5
    • (2003) Tribol Int , vol.36 , pp. 973-985
    • Hochstetter, G.1    Jimenez, A.2    Cano, J.P.3    Felder, E.4
  • 25
    • 0019080004 scopus 로고
    • Elasticity of swollen polyvinyl alcohol and poly(vinyl acetate) networks
    • 10.1007/BF00283821
    • F Horkay M Nagy 1980 Elasticity of swollen polyvinyl alcohol and poly(vinyl acetate) networks Polym Bull 3 457 463 10.1007/BF00283821
    • (1980) Polym Bull , vol.3 , pp. 457-463
    • Horkay, F.1    Nagy, M.2
  • 26
    • 41749121892 scopus 로고    scopus 로고
    • J.E. Mark (eds) Springer New York
    • Horkay F, McKenna GB (2007) Polymer networks and gels. In: Mark JE (eds) Physical properties of polymers handbook. Springer, New York
    • (2007) Polymer Networks and Gels
    • Horkay, F.1
  • 27
    • 16344391768 scopus 로고    scopus 로고
    • Measurement of the osmotic properties of thin polymer films and biological tissue samples
    • DOI 10.1021/bm049332c
    • F Horkay I Horkayne-Szakaly PJ Basser 2005 Measurement of the osmotic properties of thin polymer films and biological tissue samples Biomacromolecules 6 988 993 10.1021/bm049332c (Pubitemid 40467846)
    • (2005) Biomacromolecules , vol.6 , Issue.2 , pp. 988-993
    • Horkay, F.1    Horkayne-Szakaly, I.2    Basser, P.J.3
  • 28
    • 49149126749 scopus 로고    scopus 로고
    • Tensile properties of engineered cartilage formed from chondrocyte- and MSC-laden hydrogels
    • 10.1016/j.joca.2008.02.005
    • AH Huang M Yeger-McKeever A Stein RL Mauck 2008 Tensile properties of engineered cartilage formed from chondrocyte- and MSC-laden hydrogels Osteoarthr Cartil 16 1074 1082 10.1016/j.joca.2008.02.005
    • (2008) Osteoarthr Cartil , vol.16 , pp. 1074-1082
    • Huang, A.H.1    Yeger-Mckeever, M.2    Stein, A.3    Mauck, R.L.4
  • 29
    • 0034953793 scopus 로고    scopus 로고
    • Elasto-plastic deformation of glass-like carbons heat-treated at different temperatures
    • DOI 10.1016/S0008-6223(00)00272-4, PII S0008622300002724
    • N Iwashita MV Swain JS Field N Ohta S Bitoh 2001 Elasto-plastic deformation of glass-like carbons heat-treated at different temperatures Carbon 39 1525 1532 10.1016/S0008-6223(00)00272-4 (Pubitemid 32605544)
    • (2001) Carbon , vol.39 , Issue.10 , pp. 1525-1532
    • Iwashita, N.1    Swain, M.V.2    Field, J.S.3    Ohta, N.4    Bitoh, S.5
  • 30
    • 49049100913 scopus 로고    scopus 로고
    • Mold-shaped, nanofiber scaffold-based cartilage engineering using human mesenchymal stem cells and bioreactor
    • 10.1016/j.jss.2007.12.788
    • S Janjanin WJ Li MT Morgan RM Shanti RS Tuan 2008 Mold-shaped, nanofiber scaffold-based cartilage engineering using human mesenchymal stem cells and bioreactor J Surg Res 149 47 56 10.1016/j.jss.2007.12.788
    • (2008) J Surg Res , vol.149 , pp. 47-56
    • Janjanin, S.1    Li, W.J.2    Morgan, M.T.3    Shanti, R.M.4    Tuan, R.S.5
  • 31
    • 85203625931 scopus 로고
    • Cambridge University Press Cambridge
    • Johnson KL (1985) Contact mechanics. Cambridge University Press, Cambridge
    • (1985)
    • Johnson, K.L.1
  • 32
    • 0021823102 scopus 로고
    • An interpretation of the strain-invariants in largely strained networks
    • 10.1007/BF01411245
    • HG Kilian 1985 An interpretation of the strain-invariants in largely strained networks Colloid Polym Sci 263 30 34 10.1007/BF01411245
    • (1985) Colloid Polym Sci , vol.263 , pp. 30-34
    • Kilian, H.G.1
  • 33
    • 33845222393 scopus 로고    scopus 로고
    • Depth-dependent biomechanical and biochemical properties of fetal, newborn, and tissue-engineered articular cartilage
    • DOI 10.1016/j.jbiomech.2005.11.002, PII S0021929005005178
    • TJ Klein M Chaudhry WC Bae RL Sah 2007 Depth-dependent biomechanical and biochemical properties of fetal, newborn, and tissue-engineered articular cartilage J Biomech 40 182 190 10.1016/j.jbiomech.2005.11.002 (Pubitemid 44848335)
    • (2007) Journal of Biomechanics , vol.40 , Issue.1 , pp. 182-190
    • Klein, T.J.1    Chaudhry, M.2    Bae, W.C.3    Sah, R.L.4
  • 34
    • 12444311795 scopus 로고    scopus 로고
    • Analysis of spherical indentation of linear viscoelastic materials
    • MV Kumar R Narasimhan 2004 Analysis of spherical indentation of linear viscoelastic materials Curr Sci 87 1088 1095
    • (2004) Curr Sci , vol.87 , pp. 1088-1095
    • Kumar, M.V.1    Narasimhan, R.2
  • 35
    • 0000806581 scopus 로고
    • Stress analysis in visco-elastic bodies
    • EH Lee 1955 Stress analysis in visco-elastic bodies Q Appl Math 13 183 190
    • (1955) Q Appl Math , vol.13 , pp. 183-190
    • Lee, E.H.1
  • 36
    • 84967586228 scopus 로고
    • The contact problem for viscoelastic bodies
    • EH Lee JRM Radok 1960 The contact problem for viscoelastic bodies J Appl Mech 27 438 444
    • (1960) J Appl Mech , vol.27 , pp. 438-444
    • Lee, E.H.1    Radok, J.R.M.2
  • 37
    • 34447528680 scopus 로고    scopus 로고
    • Robust strategies for automated AFM force curve analysis - I. Non-adhesive indentation of soft, inhomogeneous materials
    • DOI 10.1115/1.2720924
    • DC Lin EK Dimitriadis F Horkay 2007 Robust strategies for automated AFM force curve analysis-I Non-adhesive indentation of soft, inhomogeneous materials. J Biomech Eng 129 430 440 10.1115/1.2720924 (Pubitemid 47066857)
    • (2007) Journal of Biomechanical Engineering , vol.129 , Issue.3 , pp. 430-440
    • Lin, D.C.1    Dimitriadis, E.K.2    Horkay, F.3
  • 38
    • 41149113625 scopus 로고    scopus 로고
    • Elasticity of rubber-like materials measured by AFM nanoindentation
    • 10.3144/expresspolymlett.2007.79
    • DC Lin EK Dimitriadis F Horkay 2007 Elasticity of rubber-like materials measured by AFM nanoindentation Express Polym Lett 1 576 584 10.3144/expresspolymlett.2007.79
    • (2007) Express Polym Lett , vol.1 , pp. 576-584
    • Lin, D.C.1    Dimitriadis, E.K.2    Horkay, F.3
  • 39
    • 0347930300 scopus 로고    scopus 로고
    • Measurement of creep compliance of solid polymers by nanoindentation
    • 10.1023/B:MTDM.0000007217.07156.9b
    • H Lu B Wang J Ma G Huang H Viswanathan 2003 Measurement of creep compliance of solid polymers by nanoindentation Mech Time-Depend Mater 7 189 207 10.1023/B:MTDM.0000007217.07156.9b
    • (2003) Mech Time-Depend Mater , vol.7 , pp. 189-207
    • Lu, H.1    Wang, B.2    Ma, J.3    Huang, G.4    Viswanathan, H.5
  • 40
    • 38549105642 scopus 로고    scopus 로고
    • Mechanical properties of dura mater from the rat brain and spinal cord
    • DOI 10.1089/neu.2007.0348
    • JT Maikos RA Elias DI Shreiber 2008 Mechanical properties of dura mater from the rat brain and spinal cord J Neurotrauma 25 38 51 10.1089/neu.2007.0348 (Pubitemid 351161070)
    • (2008) Journal of Neurotrauma , vol.25 , Issue.1 , pp. 38-51
    • Maikos, J.T.1    Elias, R.A.I.2    Shreiber, D.I.3
  • 41
    • 33749146308 scopus 로고    scopus 로고
    • Spherical indentation load-relaxation of soft biological tissues
    • DOI 10.1557/jmr.2006.0243
    • JM Mattice AG Lau ML Oyen RW Kent 2006 Spherical indentation load-relaxation of soft biological tissues J Mater Res 21 2003 2010 10.1557/jmr.2006.0243 (Pubitemid 44469136)
    • (2006) Journal of Materials Research , vol.21 , Issue.8 , pp. 2003-2010
    • Mattice, J.M.1    Lau, A.G.2    Oyen, M.L.3    Kent, R.W.4
  • 42
    • 0344825353 scopus 로고    scopus 로고
    • The role of cell seeding density and nutrient supply for articular cartilage tissue engineering with deformational loading
    • DOI 10.1016/j.joca.2003.08.006
    • RL Mauck CC Wang ES Oswald GA Ateshian CT Hung 2003 The role of cell seeding density and nutrient supply for articular cartilage tissue engineering with deformational loading Osteoarthr Cartil 11 879 890 10.1016/j.joca.2003.08. 006 (Pubitemid 37455732)
    • (2003) Osteoarthritis and Cartilage , vol.11 , Issue.12 , pp. 879-890
    • Mauck, R.L.1    Wang, C.C.-B.2    Oswald, E.S.3    Ateshian, G.A.4    Hung, C.T.5
  • 44
    • 0042755636 scopus 로고
    • A theory of large elastic deformation
    • 10.1063/1.1712836
    • M Mooney 1940 A theory of large elastic deformation J Appl Phys 11 582 592 10.1063/1.1712836
    • (1940) J Appl Phys , vol.11 , pp. 582-592
    • Mooney, M.1
  • 45
    • 0018983548 scopus 로고
    • Biphasic creep and stress relaxation of articular cartilage in compression. Theory and experiments
    • VC Mow SC Kuei WM Lai CG Armstrong 1980 Biphasic creep and stress relaxation of articular cartilage in compression. Theory and experiments J Biomech Eng 102 73 84
    • (1980) J Biomech Eng , vol.102 , pp. 73-84
    • Mow, V.C.1    Kuei, S.C.2    Lai, W.M.3    Armstrong, C.G.4
  • 46
    • 33847401967 scopus 로고    scopus 로고
    • Nanomechanical properties of individual chondrocytes and their developing growth factor-stimulated pericellular matrix
    • DOI 10.1016/j.jbiomech.2006.04.004, PII S0021929006001278
    • L Ng HH Hung A Sprunt S Chubinskaya C Ortiz A Grodzinsky 2007 Nanomechanical properties of individual chondrocytes and their developing growth factor-stimulated pericellular matrix J Biomech 40 1011 1023 10.1016/j.jbiomech.2006.04.004 (Pubitemid 46349060)
    • (2007) Journal of Biomechanics , vol.40 , Issue.5 , pp. 1011-1023
    • Ng, L.1    Hung, H.-H.2    Sprunt, A.3    Chubinskaya, S.4    Ortiz, C.5    Grodzinsky, A.6
  • 47
    • 0001737632 scopus 로고
    • Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids
    • 10.1098/rspa.1972.0026
    • RW Ogden 1972 Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids Proc R Soc Lond A Math Phys Sci 326 565 584 10.1098/rspa.1972.0026
    • (1972) Proc R Soc Lond A Math Phys Sci , vol.326 , pp. 565-584
    • Ogden, R.W.1
  • 48
    • 27344452377 scopus 로고    scopus 로고
    • Spherical indentation creep following ramp loading
    • 10.1557/JMR.2005.0259
    • ML Oyen 2005 Spherical indentation creep following ramp loading J Mater Res 20 2094 2100 10.1557/JMR.2005.0259
    • (2005) J Mater Res , vol.20 , pp. 2094-2100
    • Oyen, M.L.1
  • 50
    • 4544278236 scopus 로고    scopus 로고
    • Microscale frictional response of bovine articular cartilage from atomic force microscopy
    • DOI 10.1016/j.jbiomech.2004.02.017, PII S0021929004000983
    • S Park KD Costa GA Ateshian 2004 Microscale frictional response of bovine articular cartilage from atomic force microscopy J Biomech 37 1679 1687 10.1016/j.jbiomech.2004.02.017 (Pubitemid 39237581)
    • (2004) Journal of Biomechanics , vol.37 , Issue.11 , pp. 1679-1687
    • Park, S.1    Costa, K.D.2    Ateshian, G.A.3
  • 51
    • 0036113663 scopus 로고    scopus 로고
    • Regional, directional, and age-dependent properties of the brain undergoing large deformation
    • DOI 10.1115/1.1449907
    • MT Prange SS Margulies 2002 Regional, directional, and age-dependent properties of the brain undergoing large deformation J Biomech Eng 124 244 252 10.1115/1.1449907 (Pubitemid 34407069)
    • (2002) Journal of Biomechanical Engineering , vol.124 , Issue.2 , pp. 244-252
    • Prange, M.T.1    Margulies, S.S.2
  • 53
    • 0031194440 scopus 로고    scopus 로고
    • Depth-dependent confined compression modulus of full-thickness bovine articular cartilage
    • DOI 10.1002/jor.1100150404
    • RM Schinagl D Gurskis AC Chen RL Sah 1997 Depth-dependent confined compression modulus of full-thickness bovine articular cartilage J Orthop Res 15 499 506 10.1002/jor.1100150404 (Pubitemid 27433362)
    • (1997) Journal of Orthopaedic Research , vol.15 , Issue.4 , pp. 499-506
    • Schinagl, R.M.1    Gurskis, D.2    Chen, A.C.3    Sah, R.L.4
  • 54
    • 0036083287 scopus 로고    scopus 로고
    • Mechanics of the human femoral adventitia including the high-pressure response
    • 10.1152/ajpheart.00397.2001
    • CA Schulze-Bauer P Regitnig GA Holzapfel 2002 Mechanics of the human femoral adventitia including the high-pressure response Am J Physiol Heart Circ Physiol 282 H2427 H2440 10.1152/ajpheart.00397.2001
    • (2002) Am J Physiol Heart Circ Physiol , vol.282
    • Schulze-Bauer, C.A.1    Regitnig, P.2    Holzapfel, G.A.3
  • 55
    • 85203661855 scopus 로고    scopus 로고
    • 3 Wiley New York
    • Sperling LH (2001) Introduction to physical polymer science, 3rd edn. Wiley, New York
    • (2001)
    • Sperling, L.H.1
  • 56
    • 18744376043 scopus 로고    scopus 로고
    • Nonlinear elasticity in biological gels
    • DOI 10.1038/nature03521
    • C Storm JJ Pastore FC MacKintosh TC Lebensky PA Janmey 2005 Nonlinear elasticity in biological gels Nature 435 191 194 10.1038/nature03521 (Pubitemid 40685941)
    • (2005) Nature , vol.435 , Issue.7039 , pp. 191-194
    • Storm, C.1    Pastore, J.J.2    MacKintosh, F.C.3    Lubensky, T.C.4    Janmey, P.A.5
  • 57
    • 0001179338 scopus 로고
    • Indentation plasticity and the ensuing fracture of glass
    • 10.1088/0022-3727/9/15/011
    • MV Swain JT Hagan 1976 Indentation plasticity and the ensuing fracture of glass J Phys D 9 2201 2214 10.1088/0022-3727/9/15/011
    • (1976) J Phys D , vol.9 , pp. 2201-2214
    • Swain, M.V.1    Hagan, J.T.2
  • 58
    • 0000930431 scopus 로고
    • A simple theory of static and dynamic hardness
    • 10.1098/rspa.1948.0008
    • D Tabor 1948 A simple theory of static and dynamic hardness Proc R Soc Lond A Math Phys Sci 192 247 274 10.1098/rspa.1948.0008
    • (1948) Proc R Soc Lond A Math Phys Sci , vol.192 , pp. 247-274
    • Tabor, D.1
  • 59
    • 85203632361 scopus 로고
    • Oxford University Press Oxford
    • Tabor D (1951) The hardness of metals. Oxford University Press, Oxford
    • (1951)
    • Tabor, D.1
  • 60
    • 0032210314 scopus 로고    scopus 로고
    • New analytical procedure to determine stress-strain curve from spherical indentation data
    • 10.1016/S0020-7683(97)00249-7
    • B Taljat T Zacharia F Kosel 1998 New analytical procedure to determine stress-strain curve from spherical indentation data Int J Solids Struct 35 4411 4426 10.1016/S0020-7683(97)00249-7
    • (1998) Int J Solids Struct , vol.35 , pp. 4411-4426
    • Taljat, B.1    Zacharia, T.2    Kosel, F.3
  • 62
    • 85203658331 scopus 로고
    • 3 Oxford University Press Oxford
    • Treloar LRG (1975) The physics of rubber elasticity, 3rd edn. Oxford University Press, Oxford
    • (1975)
    • Treloar, L.R.G.1
  • 63
    • 0000087004 scopus 로고
    • Behavior of elastomer networks in moderately large deformations. 1. Elastic equilibrium
    • 10.1021/ma00146a018
    • NW Tschoegl C Gurer 1985 Behavior of elastomer networks in moderately large deformations. 1. Elastic equilibrium Macromolecules 18 680 687 10.1021/ma00146a018
    • (1985) Macromolecules , vol.18 , pp. 680-687
    • Tschoegl, N.W.1    Gurer, C.2
  • 64
    • 33746019965 scopus 로고    scopus 로고
    • Contact creep compliance of viscoelastic materials via nanoindentation
    • DOI 10.1557/jmr.2006.0197
    • CA Tweedie KJ Van Vliet 2006 Contact creep compliance of viscoelastic materials via nanoindentation J Mater Res 21 1576 1589 10.1557/jmr.2006.0197 (Pubitemid 44063724)
    • (2006) Journal of Materials Research , vol.21 , Issue.6 , pp. 1576-1589
    • Tweedie, C.A.1    Van Vliet, K.J.2
  • 65
    • 31744443341 scopus 로고    scopus 로고
    • A constitutive model of the human vocal fold cover for fundamental frequency regulation
    • DOI 10.1121/1.2159433
    • K Zhang T Siegmund RW Chan 2006 A constitutive model of the human vocal fold cover for fundamental frequency regulation J Acoust Soc Am 119 1050 1062 10.1121/1.2159433 (Pubitemid 43177483)
    • (2006) Journal of the Acoustical Society of America , vol.119 , Issue.2 , pp. 1050-1062
    • Zhang, K.1    Siegmund, T.2    Chan, R.W.3


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