메뉴 건너뛰기




Volumn 81, Issue 9, 2014, Pages

On the applicability of Sneddon's solution for interpreting the indentation of nonlinear elastic biopolymers

Author keywords

Biopolymers; Dimensional analysis; Finite element analysis; Indentation; Inverse method

Indexed keywords

BIOPOLYMERS; ELASTICITY; FINITE ELEMENT METHOD; INDENTATION; INVERSE PROBLEMS; VISCOELASTICITY;

EID: 84940293721     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.4027973     Document Type: Article
Times cited : (29)

References (43)
  • 1
    • 33747152561 scopus 로고    scopus 로고
    • Matrix elasticity directs stem cell lineage specification
    • DOI 10.1016/j.cell.2006.06.044, PII S0092867406009615
    • Engler, A. J., Sen, S., Sweeney, H. L., and Discher, D. E., 2006, "Matrix Elasticity Directs Stem Cell Lineage Specification," Cell, 126(4), pp. 677-689. (Pubitemid 44233625)
    • (2006) Cell , vol.126 , Issue.4 , pp. 677-689
    • Engler, A.J.1    Sen, S.2    Sweeney, H.L.3    Discher, D.E.4
  • 2
    • 84881669648 scopus 로고    scopus 로고
    • Directing stem cell fate on hydrogel substrates by controlling cell geometry, matrix mechanics and adhesion ligand composition
    • Lee, J., Abdeen, A. A., Zhang, D., and Kilian, K. A., 2013, "Directing Stem Cell Fate on Hydrogel Substrates by Controlling Cell Geometry, Matrix Mechanics and Adhesion Ligand Composition," Biomaterials, 34(33), pp. 8140-8148.
    • (2013) Biomaterials , vol.34 , Issue.33 , pp. 8140-8148
    • Lee, J.1    Abdeen, A.A.2    Zhang, D.3    Kilian, K.A.4
  • 3
    • 84866501582 scopus 로고    scopus 로고
    • Cell mechanics, structure, and function are regulated by the stiffness of the three-dimensional microenvironment
    • Chen, J., Irianto, J., Inamdar, S., Pravincumar, P., Lee, D., Bader, D. L., and Knight, M., 2012, "Cell Mechanics, Structure, and Function are Regulated by the Stiffness of the Three-Dimensional Microenvironment," Biophys. J., 103(6), pp. 1188-1197.
    • (2012) Biophys. J. , vol.103 , Issue.6 , pp. 1188-1197
    • Chen, J.1    Irianto, J.2    Inamdar, S.3    Pravincumar, P.4    Lee, D.5    Bader, D.L.6    Knight, M.7
  • 4
    • 84897970393 scopus 로고    scopus 로고
    • Nanoscale viscoelastic properties and adhesion of polydimethylsiloxane for tissue engineering
    • Chen, J., Wright, K., and Birch, M., 2014, "Nanoscale Viscoelastic Properties and Adhesion of Polydimethylsiloxane for Tissue Engineering," Acta Mech. Sin., 30(1), pp. 2-6.
    • (2014) Acta Mech. Sin. , vol.30 , Issue.1 , pp. 2-6
    • Chen, J.1    Wright, K.2    Birch, M.3
  • 5
    • 0020957075 scopus 로고
    • Bending elastic modulus of red blood cell membrane derived from buckling instability in micropipet aspiration tests
    • Evans, E. A., 1983, "Bending Elastic Modulus of Red Blood Cell Membrane Derived From Buckling Instability in Micropipet Aspiration Tests," Biophys. J., 43(1), pp. 27-30.
    • (1983) Biophys. J. , vol.43 , Issue.1 , pp. 27-30
    • Evans, E.A.1
  • 6
    • 0025471148 scopus 로고
    • Application of the micropipette technique to the measurement of cultured porcine aortic endothelial cell viscoelastic properties
    • Sato, M., Theret, D., Wheeler, L., Ohshima, N., and Nerem, R., 1990, "Application of the Micropipette Technique to the Measurement of Cultured Porcine Aortic Endothelial Cell Viscoelastic Properties," ASME J. Biomech. Eng., 112(3), pp. 263-268. (Pubitemid 20378625)
    • (1990) Journal of Biomechanical Engineering , vol.112 , Issue.3 , pp. 263-268
    • Sato, M.1    Theret, D.P.2    Wheeler, L.T.3    Ohshima, N.4    Nerem, R.M.5
  • 7
    • 0031148795 scopus 로고    scopus 로고
    • The pipette aspiration applied to the local stiffness measurement of soft tissues
    • Aoki, T., Ohashi, T., Matsumoto, T., and Sato, M., 1997, "The Pipette Aspiration Applied to the Local Stiffness Measurement of Soft Tissues," Ann. Biomed. Eng., 25(3), pp. 581-587.
    • (1997) Ann. Biomed. Eng. , vol.25 , Issue.3 , pp. 581-587
    • Aoki, T.1    Ohashi, T.2    Matsumoto, T.3    Sato, M.4
  • 8
    • 0032990973 scopus 로고    scopus 로고
    • The deformation behavior and mechanical properties of chondrocytes in articular cartilage
    • DOI 10.1053/joca.1998.0162
    • Guilak, F., Jones, W. R., Ting-Beall, H. P., and Lee, G. M., 1999, "The Deformation Behavior and Mechanical Properties of Chondrocytes in Articular Cartilage," Osteoarthrotis Cartilage, 7(1), pp. 59-70. (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
  • 10
    • 33744815241 scopus 로고    scopus 로고
    • An extended modeling of the micropipette aspiration experiment for the characterization of the Young's modulus and Poisson's ratio of adherent thin biological samples: Numerical and experimental studies
    • DOI 10.1016/j.jbiomech.2005.04.026, PII S0021929005002101
    • Boudou, T., Ohayon, J., Arntz, Y., Finet, G., Picart, C., and Tracqui, P., 2006, "An Extended Modeling of the Micropipette Aspiration Experiment for the Characterization of the Young's Modulus and Poisson's Ratio of Adherent Thin Biological Samples: Numerical and Experimental Studies," J. Biomech., 39(9), pp. 1677-1685. (Pubitemid 43833362)
    • (2006) Journal of Biomechanics , vol.39 , Issue.9 , pp. 1677-1685
    • Boudou, T.1    Ohayon, J.2    Arntz, Y.3    Finet, G.4    Picart, C.5    Tracqui, P.6
  • 12
    • 79251613628 scopus 로고    scopus 로고
    • Measurement of layer- specific mechanical properties in multilayered biomaterials by micropipette aspiration
    • Zhao, R., Sider, K. L., and Simmons, C. A., 2011, "Measurement of Layer- Specific Mechanical Properties in Multilayered Biomaterials by Micropipette Aspiration," Acta Biomater., 7(3), pp. 1220-1227.
    • (2011) Acta Biomater. , vol.7 , Issue.3 , pp. 1220-1227
    • Zhao, R.1    Sider, K.L.2    Simmons, C.A.3
  • 13
    • 84897518969 scopus 로고    scopus 로고
    • Determination of the reduced creep function of viscoelastic compliant materials using pipette aspiration method
    • Cao, Y. P., Li, G. Y., Zhang, M. G., and Feng, X. Q., 2014, "Determination of the Reduced Creep Function of Viscoelastic Compliant Materials Using Pipette Aspiration Method," ASME J. Appl. Mech., 81(7), p. 071006.
    • (2014) ASME J. Appl. Mech. , vol.81 , Issue.7 , pp. 071006
    • Cao, Y.P.1    Li, G.Y.2    Zhang, M.G.3    Feng, X.Q.4
  • 14
    • 84899668291 scopus 로고    scopus 로고
    • Pipette aspiration of hyperelastic compliant materials: Theoretical analysis, simulations and experiments
    • Zhang, M. G., Cao, Y. P., Li, G. Y., and Feng, X. Q., 2014, "Pipette Aspiration of Hyperelastic Compliant Materials: Theoretical Analysis, Simulations and Experiments," J. Mech. Phys. Solids, 68(8), pp. 179-196.
    • (2014) J. Mech. Phys. Solids , vol.68 , Issue.8 , pp. 179-196
    • Zhang, M.G.1    Cao, Y.P.2    Li, G.Y.3    Feng, X.Q.4
  • 16
    • 3242711141 scopus 로고    scopus 로고
    • Scaling, dimensional analysis, and indentation measurements
    • Cheng, Y. T., and Cheng, C. M., 2004, "Scaling, Dimensional Analysis, and Indentation Measurements," Mater. Sci. Eng., R, 44(4), pp. 91-149.
    • (2004) Mater. Sci. Eng., R , vol.44 , Issue.4 , pp. 91-149
    • Cheng, Y.T.1    Cheng, C.M.2
  • 17
    • 33748784055 scopus 로고    scopus 로고
    • Analytical techniques for indentation of viscoelastic materials
    • DOI 10.1080/14786430600740666, PII X072V26H61445720, Instrumented Nanoindentation
    • Oyen, M., 2006, "Analytical Techniques for Indentation of Viscoelastic Materials," Philos. Mag., 86(33-35), pp. 5625-5641. (Pubitemid 44410591)
    • (2006) Philosophical Magazine , vol.86 , Issue.33-35 SPEC. ISSUE , pp. 5625-5641
    • Oyen, M.L.1
  • 18
    • 33746019965 scopus 로고    scopus 로고
    • Contact creep compliance of viscoelastic materials via nanoindentation
    • DOI 10.1557/jmr.2006.0197
    • Tweedie, C. A., and van Vliet, K. J., 2006, "Contact Creep Compliance of Viscoelastic Materials Via Nanoindentation," J. Mater. Res., 21(6), pp. 1576-1589. (Pubitemid 44063724)
    • (2006) Journal of Materials Research , vol.21 , Issue.6 , pp. 1576-1589
    • Tweedie, C.A.1    Van Vliet, K.J.2
  • 19
    • 70349776268 scopus 로고    scopus 로고
    • Challenges and progress in high-throughput screening of polymer mechanical properties by indentation
    • Kranenburg, J. M., Tweedie, C. A., van Vliet, K. J., and Schubert, U. S., 2009, "Challenges and Progress in High-Throughput Screening of Polymer Mechanical Properties by Indentation," Adv. Mater., 21(35), pp. 3551-3561.
    • (2009) Adv. Mater. , vol.21 , Issue.35 , pp. 3551-3561
    • Kranenburg, J.M.1    Tweedie, C.A.2    Van Vliet, K.J.3    Schubert, U.S.4
  • 21
    • 77950322445 scopus 로고    scopus 로고
    • Using indentation to characterize the poroelasticity of gels
    • Hu, Y., Zhao, X., Vlassak, J. J., and Suo, Z., 2010, "Using Indentation to Characterize the Poroelasticity of Gels," Appl. Phys. Lett., 96(12), p. 121904.
    • (2010) Appl. Phys. Lett. , vol.96 , Issue.12 , pp. 121904
    • Hu, Y.1    Zhao, X.2    Vlassak, J.J.3    Suo, Z.4
  • 22
    • 80054888263 scopus 로고    scopus 로고
    • Indentation of polydimethylsiloxane submerged in organic solvents
    • Hu, Y., Chen, X., Whitesides, G. M., Vlassak, J. J., and Suo, Z., 2011, "Indentation of Polydimethylsiloxane Submerged in Organic Solvents," J. Mater. Res., 26(6), pp. 785-795.
    • (2011) J. Mater. Res. , vol.26 , Issue.6 , pp. 785-795
    • Hu, Y.1    Chen, X.2    Whitesides, G.M.3    Vlassak, J.J.4    Suo, Z.5
  • 23
    • 84892791840 scopus 로고    scopus 로고
    • Spherical indentation method for determining the constitutive parameters of hyperelastic soft materials
    • Zhang, M. G., Cao, Y. P., Li, G. Y., and Feng, X. Q., 2014, "Spherical Indentation Method for Determining the Constitutive Parameters of Hyperelastic Soft Materials," Biomech. Model Mechanobiol., 13(1), pp. 1-11.
    • (2014) Biomech. Model Mechanobiol. , vol.13 , Issue.1 , pp. 1-11
    • Zhang, M.G.1    Cao, Y.P.2    Li, G.Y.3    Feng, X.Q.4
  • 24
    • 84881139797 scopus 로고    scopus 로고
    • Finite-strain, finite-size mechanics of rigidly cross-linked biopolymer networks
    • Lindström, S. B., Kulachenko, A., Jawerth, L. M., and Vader, D. A., 2013, "Finite-Strain, Finite-Size Mechanics of Rigidly Cross-Linked Biopolymer Networks," Soft Matter, 9(30), pp. 7302-7313.
    • (2013) Soft Matter , vol.9 , Issue.30 , pp. 7302-7313
    • Lindström, S.B.1    Kulachenko, A.2    Jawerth, L.M.3    Vader, D.A.4
  • 26
    • 0042755636 scopus 로고
    • A theory of large elastic deformation
    • Mooney, M., 1940, "A Theory of Large Elastic Deformation," J. Appl. Phys., 11(9), pp. 582-592.
    • (1940) J. Appl. Phys. , vol.11 , Issue.9 , pp. 582-592
    • Mooney, M.1
  • 27
    • 0000519307 scopus 로고
    • Large elastic deformations of isotropic materials. V. The problem of flexure
    • Rivlin, R. S., 1949, "Large Elastic Deformations of Isotropic Materials. V. The Problem of Flexure," Philos. Trans. R. Soc., A, 195(1043), pp. 463-473.
    • (1949) Philos. Trans. R. Soc., A , vol.195 , Issue.1043 , pp. 463-473
    • Rivlin, R.S.1
  • 28
    • 0041097550 scopus 로고
    • A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials
    • Arruda, E. M., and Boyce, M. C., 1993, "A Three-Dimensional Constitutive Model for the Large Stretch Behavior of Rubber Elastic Materials," J. Mech. Phys. Solids, 41(2), pp. 389-412.
    • (1993) J. Mech. Phys. Solids , vol.41 , Issue.2 , pp. 389-412
    • Arruda, E.M.1    Boyce, M.C.2
  • 29
    • 84940259560 scopus 로고    scopus 로고
    • ABAQUS user's manual
    • Dassault Systemes, Providence, RI
    • DS Simulia Corp., 2010, "ABAQUS User's Manual," Version 6.10, Dassault Systemes, Providence, RI.
    • (2010) Version 6.10
  • 30
    • 4544313167 scopus 로고    scopus 로고
    • Indentation of elastic solids with rigid cones
    • Lim, Y. Y., and Chaudhri, M. M., 2004, "Indentation of Elastic Solids With Rigid Cones," Philos. Mag., 84(27), pp. 2877-2903.
    • (2004) Philos. Mag. , vol.84 , Issue.27 , pp. 2877-2903
    • Lim, Y.Y.1    Chaudhri, M.M.2
  • 34
    • 1242284455 scopus 로고    scopus 로고
    • Depth-sensing instrumented indentation with dual sharp indenters: Stability analysis and corresponding regularization schemes
    • Cao, Y. P., and Lu, J., 2004, "Depth-Sensing Instrumented Indentation With Dual Sharp Indenters: Stability Analysis and Corresponding Regularization Schemes," Acta Mater, 52(5), pp. 1143-1153.
    • (2004) Acta Mater , vol.52 , Issue.5 , pp. 1143-1153
    • Cao, Y.P.1    Lu, J.2
  • 36
    • 0032560549 scopus 로고    scopus 로고
    • Measuring elasticity of biological materials by atomic force microscopy
    • DOI 10.1016/S0014-5793(98)00592-4, PII S0014579398005924
    • Vinckier, A., and Semenza, G., 1998, "Measuring Elasticity of Biological Materials by Atomic Force Microscopy," FEBS Lett., 430(1), pp. 12-16. (Pubitemid 28307023)
    • (1998) FEBS Letters , vol.430 , Issue.1-2 , pp. 12-16
    • Vinckier, A.1    Semenza, G.2
  • 38
    • 0036783749 scopus 로고    scopus 로고
    • Apparent elastic modulus and hysteresis of skeletal muscle cells throughout differentiation
    • Collinsworth, A. M., Zhang, S., Kraus, W. E., and Truskey, G. A., 2002, "Apparent Elastic Modulus and Hysteresis of Skeletal Muscle Cells Throughout Differentiation," Am. J. Physiol. Cell Physiol., 283(4), pp. C1219-C1227.
    • (2002) Am. J. Physiol. Cell Physiol. , vol.283 , Issue.4
    • Collinsworth, A.M.1    Zhang, S.2    Kraus, W.E.3    Truskey, G.A.4
  • 39
    • 35048860300 scopus 로고    scopus 로고
    • Atomic force microscopy probing of cell elasticity
    • DOI 10.1016/j.micron.2007.06.011, PII S0968432807001047, Microscopy in Nanobiotechnology
    • Kuznetsova, T. G., Starodubtseva, M. N., Yegorenkov, N. I., Chizhik, S. A., and Zhdanov, R. I., 2007, "Atomic Force Microscopy Probing of Cell Elasticity," Micron, 38(8), pp. 824-833. (Pubitemid 47554622)
    • (2007) Micron , vol.38 , Issue.8 , pp. 824-833
    • Kuznetsova, T.G.1    Starodubtseva, M.N.2    Yegorenkov, N.I.3    Chizhik, S.A.4    Zhdanov, R.I.5
  • 40
    • 79958281617 scopus 로고    scopus 로고
    • Indentation versus tensile measurements of young's modulus for soft biological tissues
    • McKee, C. T., Last, J. A., Russell, P., and Murphy, C. J., 2011, "Indentation Versus Tensile Measurements of Young's Modulus for Soft Biological Tissues," Tiss. Eng., 17(3), pp. 155-164.
    • (2011) Tiss. Eng. , vol.17 , Issue.3 , pp. 155-164
    • McKee, C.T.1    Last, J.A.2    Russell, P.3    Murphy, C.J.4
  • 41
    • 85003322396 scopus 로고    scopus 로고
    • Measuring the mechanical properties of living cells using atomic force microscopy
    • Thomas, G., Burnham, N. A., Camesano, T. A., and Wen, Q., 2013, "Measuring the Mechanical Properties of Living Cells Using Atomic Force Microscopy," J. Vis. Exp., 76, p. e50497.
    • (2013) J. Vis. Exp. , vol.76
    • Thomas, G.1    Burnham, N.A.2    Camesano, T.A.3    Wen, Q.4
  • 42
    • 77951480091 scopus 로고    scopus 로고
    • Geometry independence of the normalized relaxation functions of viscoelastic materials in indentation
    • Cao, Y. P., Ji, X. Y., and Feng, X. Q., 2010, "Geometry Independence of the Normalized Relaxation Functions of Viscoelastic Materials in Indentation," Philos. Mag., 90(12), pp. 1639-1655.
    • (2010) Philos. Mag. , vol.90 , Issue.12 , pp. 1639-1655
    • Cao, Y.P.1    Ji, X.Y.2    Feng, X.Q.3
  • 43
    • 84875328383 scopus 로고    scopus 로고
    • Indentation method for measuring the viscoelastic kernel function of nonlinear viscoelastic soft materials
    • Cao, Y. P., Zhang, M. G., and Feng, X. Q., 2013, "Indentation Method for Measuring the Viscoelastic Kernel Function of Nonlinear Viscoelastic Soft Materials," J. Mater. Res., 28(6), pp. 806-816.
    • (2013) J. Mater. Res. , vol.28 , Issue.6 , pp. 806-816
    • Cao, Y.P.1    Zhang, M.G.2    Feng, X.Q.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.