Analysis of viscoelastic behaviour of bones on the basis of microstructure.

Abstract Viscoelastic properties of bone are obtained by means of a micromechanical mode, based on the structure of the bone as a composite material. Relaxation functions, creep functions, differential stress-strain relations and corresponding rheological models are calculated as a function of the properties of the osteons and an organic bonding material.

[1]  J. Katz,et al.  On the anisotropic elastic properties of hydroxyapatite. , 1971, Journal of biomechanics.

[2]  Zvi Hashin,et al.  Theory of fiber reinforced materials , 1972 .

[3]  Isolation of single osteons and osteon lamellae. , 1976, Acta anatomica.

[4]  A. Ascenzi,et al.  The shearing properties of single osteons , 1972, The Anatomical record.

[5]  Scanning and transmission electron microscopy of calcified tissues. , 1975, Biomaterials, medical devices, and artificial organs.

[6]  R. Lakes,et al.  Interrelationships among the viscoelastic functions for anisotropic solids: application to calcified tissues and related systems. , 1974, Journal of biomechanics.

[7]  J. Katz.  Hard tissue as a composite material. I. Bounds on the elastic behavior. , 1971, Journal of biomechanics.

[8]  N Berme,et al.  Determination of the transverse elastic coefficients of bone. , 1977, Journal of biomechanics.

[9]  Zvi Hashin,et al.  The Elastic Moduli of Heterogeneous Materials , 1962 .

[10]  Zvi Hashin,et al.  On elastic behaviour of fibre reinforced materials of arbitrary transverse phase geometry , 1965 .

[11]  Zvi Hashin,et al.  Viscoelastic Behavior of Heterogeneous Media , 1965 .

[12]  Z. Hashin,et al.  The Elastic Moduli of Fiber-Reinforced Materials , 1964 .

[13]  J. Katz,et al.  Ultrasonic wave propagation in human cortical bone-I. Theoretical considerations for hexagonal symmetry. , 1976, Journal of biomechanics.

[14]  S. Shtrikman,et al.  A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .

[15]  A. Ascenzi,et al.  The tensile properties of single osteons , 1967, The Anatomical record.

[16]  Zvi Hashin,et al.  Viscoelastic fiber reinforced materials. , 1966 .