By Gerhard A. Holzapfel, Thomas C. Gasser (auth.), Stephen C. Cowin, Jay D. Humphrey (eds.)

This unique quantity of the magazine of Elasticity represents the 1st in a brand new p- gram devoted to the occasional ebook of collections of invited, reviewed papers of topical curiosity. the aim of this application is to focus on the dev- opments and purposes within the mechanics of fabrics inside of particular components which may improve progress and supply perception for the development of the sector in addition to advertise basic realizing and easy discovery. gentle Tissue Mechanics is a space of biomechanics that pulls seriously upon f- damental principles and fabric versions from nonlinear elasticity and viscoelasticity. a tremendous target of this examine is to appreciate these mechanics homes of center, artery, collagen and skeletal muscle mass that may be used for the prognosis of illnesses and the advance of human lifestyles. This quantity illustrates how test, modeling and computation is at present hired during this rising box. might 2001 ROGER FOSDICK Editor-in-Chief magazine of Elasticity sixty one: ix–xii, 2000. ix Preface There are fundamental components for the applying of elasticity within the biomechanics of tissues: not easy tissue mechanics (e.g., bone, the teeth, horns, etc.) and gentle tissue - chanics (e.g., epidermis, tendons, arteries, etc.). The distinguishing characteristic among those tissue kinds is the quantity of physiological “normal” deformation they event. whereas “hard” tissues merely event small deformations, delicate tissues generally adventure huge deformations. From a biomechanics point of view smooth tissues fall in the realm of finite elasticity.

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Circ. Res. 23 (1968) 61–68. J. C. Fung, Three-dimensional stress distribution in arteries. J. Biomech. Engr. 105 (1983) 268–274. J. C. Fung, Residual stress in arteries. W. L-Y. W. Zweifach (eds), Frontiers in Biomechanics, Springer-Verlag, New York (1986), pp. 117–129. G. Ciarlet, Mathematical Elasticity. Volume I: Three-Dimensional Elasticity, North-Holland, Amsterdam (1988). 46 GERHARD A. HOLZAPFEL ET AL. 8. H. Cox, Regional variation of series elasticity in canine arterial smooth muscles. Am.

The proposed two-layer model uses a set of six material parameters whose interpretations can be partly based on the underlying histological structure. The new model discussed in this paper is consistent with both mechanical and mathematical requirements and is suitable for use within the context of finite element methods (see, for example, [26, 20] and [21]). It is also applicable for arbitrary geometries so that more complex boundary-value problems can be solved. 3, this approach enables insight into the nature of the stress distribution across the arterial wall to be gained, and therefore offers the potential for a detailed study of the mechanical functionality of arteries.

113 (1991) 42–55. C. C. Fung, Species dependence of the zero–stress state of aorta: Pig versus rat. J. Biomech. Engr. 113 (1991) 446–451. K. Hayashi, Experimental approaches on measuring the mechanical properties and constitutive laws of arterial walls. J. Biomech. Engr. 115 (1993) 481–488. A. Holzapfel, Nonlinear Solid Mechanics. A Continuum Approach for Engineering, Wiley, Chichester (2000). A. C. Gasser, A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications.

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