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Original Articles

Quantifying nonlinear anisotropic elastic material properties of biological tissue by use of membrane inflation

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Pages 353-369 | Received 06 Mar 2008, Accepted 22 Sep 2008, Published online: 27 Apr 2009

References

  • Augenstein , KF , Cowan , BR , LeGrice , IJ , Nielsen , PMF and Young , AA . 2005 . Method and apparatus for soft tissue parameter estimation using tissue tagged magnetic resonance imaging . J Biomech Eng , 127 ( 1 ) : 148 – 157 .
  • Beattie , D , Xu , C , Vito , R , Glagov , S and Whang , MC . 1998 . Mechanical analysis of heterogeneous, atherosclerotic human aorta . J Biomech Eng , 120 : 602 – 607 .
  • Bergström , JS , Kurtz , SM , Rimnac , CM and Edidin , AA . 2002 . Constitutive modeling of ultra-high molecular weight polyethylene under large-deformation and cyclic loading conditions . Biomaterials , 23 : 2329 – 2343 .
  • Bischoff , JE , Arruda , EM and Grosh , K . 2002a . A microstructurally based orthotropic hyperelastic constitutive law . J Appl Mech , 69 : 570 – 579 .
  • Bischoff , JE , Arruda , EM and Grosh , K . 2002b . Finite element simulations of orthotropic hyperelasticity . Finite Elements Anal Des , 38 ( 10 ) : 983 – 998 .
  • Bischoff , JE , Arruda , EM and Grosh , K . 2004 . A rheological network model for the continuum anisotropic and viscoelastic behavior of soft tissue . Biomech Model Mechanobiol , 3 ( 1 ) : 56 – 65 .
  • Cox , MAJ , Driessen , NJB , Bouten , CVC and Baaijens , FPT . 2006 . Mechanical characterization of anisotropic planar biological soft tissues using large indentation: a computational feasibility study . J Biomech Eng , 128 : 428 – 436 .
  • Delfino , A , Stergiopulos , N , Moore , JE Jr. and Meister , J-J . 1997 . Residual strain effects on the stress field in a thick wall finite element model of the human carotid bifurcation . J Biomech , 30 ( 8 ) : 777 – 786 .
  • Demiray , H and Vito , RP . 1991 . A layered cylindrical shell model for an aorta . Int J Engng Sci , 29 ( 1 ) : 47 – 54 .
  • Dixon , SA , Heikes , RG and Vito , RP . 2003 . Constitutive modeling of porcine coronary arteries using designed experiments . J Biomech Eng , 125 : 274 – 279 .
  • Drexler , ES , Slifka , AJ , Wright , JE , McCowan , CN , Finch , DS , Quinn , TP , McColskey , JD , Ivy , DD and Shandas , R . 2003 . An experimental method for measuring mechanical properties of rat pulmonary arteries verified with latex . J Res NIST , 108 : 183 – 191 .
  • Drexler , ES , Quinn , TP , Slifka , AJ , McCowan , CN , Bischoff , JE , Wright , JE , Ivy , DD and Shandas , R . 2007 . Comparison of mechanical behavior among the extrapulmonary arteries from rats . J Biomech , 40 : 812 – 819 .
  • Drexler , ES , Bischoff , JE , Slifka , AJ , McCowan , CN , Quinn , TP , Shandas , R , Ivy , DD and Stenmark , KR . 2008 . Stiffening of the extrapulmonary arteries in chronic hypoxic pulmonary hypertension . J Res NIST , (accepted)
  • Erdemer , A , Viveiros , ML , Ulbrecht , JS and Cavanagh , PR . 2006 . An inverse finite-element model of heel-pad indentation . J Biomech , 39 : 1279 – 1286 .
  • Fung , YC . 1993 . Biomechanics: mechanical properties of living tissues , New York : Springer-Verlag .
  • Gleason , RL , Wilson , E and Humphrey , JD . 2007 . Biaxial biomechanical adaptations of mouse carotid arteries cultured at altered axial extension . J Biomech , 40 : 766 – 776 .
  • Holzapfel , GA , Gasser , TC and Ogden , RW . 2000 . A new constitutive framework for arterial wall mechanics and a comparative study of material models . J Elast , 61 : 1 – 48 .
  • Holzapfel , GA , Gasser , TC and Stadler , M . 2002 . A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis . Eur J Mech A/Solids , 21 : 441 – 463 .
  • Holzapfel , GA , Gasser , TC and Ogden , RW . 2004 . Comparison of a multi-layer structural model for arterial walls with a Fung-type model, and issues of material stability . J Biomech Eng , 126 : 264 – 275 .
  • Hsu , FPK , Schwab , C , Rigamonti , D and Humphrey , JD . 1994 . Identification of response functions from axisymmetric membrane inflation tests: implication for biomechanics . Int J Solids Struct , 31 : 3375 – 3386 .
  • Humphrey , JD . 1995 . Mechanics of the arterial wall: review and directions . Crit Rev Biomed Eng , 23 ( 1/2 ) : 1 – 162 .
  • Humphrey , JD , Vawter , DL and Vito , RP . 1987 . Quantification of strains in biaxially tested soft tissues . J Biomech , 20 : 59 – 65 .
  • Humphrey , JD , Strumpf , RK and Yin , FCP . 1990 . Determination of a constitutive relation for passive myocardium: I. A new functional form . J Biomech Eng , 112 : 333 – 339 .
  • Kyriacou , SK and Humphrey , JD . 1997 . Inverse finite element characterization of nonlinear hyperelastic membranes . J Appl Mech , 64 : 257 – 262 .
  • Lei , F and Szeri , AZ . 2007 . Inverse analysis of constitutive models: biological soft tissues . J Biomech , 40 : 936 – 940 .
  • Malcolm , DTK , Nielsen , PMF , Hunter , PJ and Charette , PG . 2002 . Strain measurements in biaxially loaded inhomogeneous, anisotropic elastic membranes . Biomech Mod Mechanobiol , 1 ( 3 ) : 197 – 210 .
  • Nair , AU , Taggart , DG and Vetter , FJ . 2007 . Optimizing cardiac material parameters with a genetic algorithm . J Biomech , 40 : 1646 – 1650 .
  • Ohashi , T , Abe , H , Matsumoto , T and Sato , M . 2005 . Pipette aspiration technique for the measurement of nonlinear and anisotropic mechanical properties of blood vessel walls under biaxial stretch . J Biomech , 38 : 2248 – 2256 .
  • Press , WH , Teukolsky , SA , Vetterling , WT and Flannery , BP . 1992 . Numerical recipes in C: the art of scientific computing , 2nd ed , Cambridge : Cambridge University Press .
  • Slifka , AJ , Drexler , ES , Wright , JE and Shandas , R . 2006 . Bubble-test method for synthetic and bovine vascular material . J Biomech , 39 : 1939 – 1942 .
  • Sutton , MA , Ke , X , Lessner , SM , Goldbach , M , Yost , M , Zhao , F and Schreier , HW . 2008 . Strain field measurements on mouse carotid arteries using microscopic three-dimensional digital image correlation . J Biomed Mater Res , 84A : 178 – 190 .
  • VanBavel , E , Siersma , P and Spaan , JAE . 2003 . Elasticity of passive blood vessels: a new concept . Am J Physiol Heart Circ Physiol , 285 : H1986 – H2000 .
  • Vito , RP and Dixon , SA . 2003 . Blood vessel constitutive models – 1995–2002 . Annu Rev Biomed Eng , 5 : 413 – 439 .
  • Zhang , D , Eggleton , CD and Arola , DD . 2002 . Evaluating the mechanical behavior of arterial tissue using digital image correlation . Exp Mech , 42 ( 4 ) : 409 – 416 .
  • Zhang , Y , Dunn , ML , Drexler , ES , McCowan , CN , Slifka , AJ , Ivy , DD and Shandas , R . 2005 . A microstructural hyperelastic model of pulmonary arteries under normo- and hypertensive conditions . Ann Biomed Eng , 33 ( 8 ) : 1042 – 1052 .

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