Nanoindentation hardness of mineralized tissues.

A series elastic and plastic deformation model [Sakai, M., 1999. The Meyer hardness: a measure for plasticity? Journal of Materials Research 14(9), 3630-3639] is used to deconvolute the resistance to plastic deformation from the plane strain modulus and contact hardness parameters obtained in a nanoindentation test. Different functional dependencies of contact hardness on the plane strain modulus are examined. Plastic deformation resistance values are computed from the modulus and contact hardness for engineering materials and mineralized tissues. Elastic modulus and plastic deformation resistance parameters are used to calculate elastic and plastic deformation components, and to examine the partitioning of indentation deformation between elastic and plastic. Both the numerical values of plastic deformation resistance and the direct computation of deformation partitioning reveal the intermediate mechanical responses of mineralized composites when compared with homogeneous engineering materials.

[1]  A Holt,et al.  The hardness and modulus of elasticity of primary molar teeth: an ultra-micro-indentation study. , 2000, Journal of dentistry.

[2]  En-Jui Lee,et al.  The Contact Problem for Viscoelastic Bodies , 1960 .

[3]  A. Boyde,et al.  Nanomechanical properties and mineral concentration in articular calcified cartilage and subchondral bone , 2003, Journal of anatomy.

[4]  D. Tabor.  Hardness of Metals , 1937, Nature.

[5]  G. Pharr,et al.  An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments , 1992 .

[6]  G. Pharr,et al.  Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. , 1997, Biomaterials.

[7]  Michael V Swain,et al.  Characterising the micro-mechanical behaviour of the carious dentine of primary teeth using nano-indentation. , 2005, Journal of biomechanics.

[8]  M. Sakai,et al.  The Meyer hardness: A measure for plasticity? , 1999 .

[9]  S A Goldstein,et al.  Heterogeneity of bone lamellar-level elastic moduli. , 2000, Bone.

[10]  Nicky Kilpatrick,et al.  Correlating the mechanical properties to the mineral content of carious dentine--a comparative study using an ultra-micro indentation system (UMIS) and SEM-BSE signals. , 2004, Archives of oral biology.

[11]  P. Fratzl,et al.  Two different correlations between nanoindentation modulus and mineral content in the bone-cartilage interface. , 2005, Journal of structural biology.

[12]  R DeLong,et al.  Elasticity of alveolar bone near dental implant-bone interfaces after one month's healing. , 2003, Journal of biomechanics.

[13]  A. Boyde,et al.  Nanoindentation of bone: Comparison of specimens tested in liquid and embedded in polymethylmethacrylate , 2004 .

[14]  Michelle L. Oyen,et al.  Load–displacement behavior during sharp indentation of viscous–elastic–plastic materials , 2003 .

[15]  S. Goldstein,et al.  Elastic modulus and hardness of cortical and trabecular bone lamellae measured by nanoindentation in the human femur. , 1999, Journal of biomechanics.

[16]  G W Marshall,et al.  Hardness and Young's modulus of human peritubular and intertubular dentine. , 1996, Archives of oral biology.

[17]  P. Fratzl,et al.  Graded Microstructure and Mechanical Properties of Human Crown Dentin , 2001, Calcified Tissue International.

[18]  T. P. Weihs,et al.  Nanoindentation mapping of the mechanical properties of human molar tooth enamel. , 2002, Archives of oral biology.

[19]  I. N. Sneddon.  The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile , 1965 .

[20]  John D. Currey,et al.  Bones: Structure and Mechanics , 2002 .