Biomechanics: Mechanical Properties of Living Tissues by Y. C. Fung
By Y. C. Fung
The target of this ebook is still almost like that acknowledged within the first version: to give a accomplished viewpoint of biomechanics from the stand aspect of bioengineering, body structure, and scientific technology, and to enhance mechanics via a series of difficulties and examples. My three-volume set of Bio mechanics has been accomplished. they're entitled: Biomechanics: Mechanical houses of dwelling Tissues; Biodynamics: move; and Biomechanics: movement, circulate, tension, and development; and this can be the 1st quantity. The mechanics prerequisite for all 3 volumes is still on the point of my ebook a primary path in Continuum Mechanics (3rd version, Prentice-Hall, Inc. , 1993). within the decade of the Eighties the sphere of Biomechanics multiplied tremen dously. New advances were made in all fronts. those who impact the fundamental knowing of the mechanical homes of residing tissues are defined intimately during this revision. The references are mentioned to this point.
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Extra info for Biomechanics: Mechanical Properties of Living Tissues
Note that the lower limit ofintegretion is taken as - 00, which is to mean that the integration is to be taken before the very beginning of motion. If the motion starts at time t = 0, and (Tij = eij = 0 for t< 0, then Eq. , a; (24) where eiix, 0 + ) is the limiting value of eij(x, t) when t --+ 0 from the positive side. The first term in Eq. (24) gives the effect ofinitial disturbance: it arises from the jump of eij(x, t) at t = O. If the strain history contains other jumps at other instants of time, then each jump calls for an additional term similar to the first term in Eq.
We do have to be careful about the time derivatives Fand ü if the deformation is large, because then the time derivatives of the components of stress and strain of any material partic1e (such as the small cubic element shown in Fig. 2: 3) may depend not only on how fast the element stretches, but also on how fast it rotates. , the rate of change of the stress tensor) in finite deformation turns out to be quite complex. * Hence, for the moment let us limit our consideration to a small deformation, with infinitesimal dis placements, strains, and velocities.
In Biomechanics VI-B, E. Asmussen and K. ) University Park Press, Baltimore, pp. 159-166. Singer, C. J. (1959) A Short History of Scientijic Ideas to 1900. Oxford University Press, NewYork. , and Pearson, K. (1960) A History of the Theory of Elasticity, and of the Strength 0/ Materials /rom Galilei to Lord Kelvin. Cambridge University Press (1886, 1893); Dover Publications, New Y ork. Wolff, H. S. (1973) Bioengineering-a many splendored thing-but for whom? In Perspectives in Biomedical Engineering, Proceedings of a symposium, Kenedi, R.