Cardiovascular Soft Tissue Mechanics by Gerhard A. Holzapfel, Thomas C. Gasser (auth.), Stephen C.

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

This distinctive quantity of the magazine of Elasticity represents the 1st in a brand new p- gram devoted to the occasional e-book of collections of invited, reviewed papers of topical curiosity. the aim of this application is to focus on the dev- opments and functions within the mechanics of fabrics inside of particular components which could improve development and supply perception for the development of the sector in addition to advertise basic realizing and easy discovery. delicate Tissue Mechanics is a space of biomechanics that pulls seriously upon f- damental principles and fabric types from nonlinear elasticity and viscoelasticity. an immense target of this learn is to appreciate these mechanics homes of center, artery, collagen and skeletal muscle groups that may be used for the analysis of illnesses and the development of human existence. This quantity illustrates how test, modeling and computation is presently hired during this rising box. could 2001 ROGER FOSDICK Editor-in-Chief magazine of Elasticity sixty one: ix–xii, 2000. ix Preface There are fundamental components for the appliance of elasticity within the biomechanics of tissues: difficult tissue mechanics (e.g., bone, the teeth, horns, etc.) and gentle tissue - chanics (e.g., pores and skin, tendons, arteries, etc.). The distinguishing function among those tissue forms is the volume of physiological “normal” deformation they event. whereas “hard” tissues in basic terms adventure small deformations, gentle tissues often adventure huge deformations. From a biomechanics standpoint tender tissues fall in the realm of finite elasticity.

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For the special case of combined bending, inflation and axial extension the potential is suitable for predicting the three-dimensional state of stress. A comparative study of three important examples of such potentials concludes this section. 1. 2. Using these assumptions and with elimination of via the incompressibility constraint an alternative two-dimensional approximation of may be given in the form where is a strain energy with the three independent strain variables Using the chain rule, the derivatives are obtained.

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