Cardiovascular Solid Mechanics: Cells, Tissues, and Organs / Edition 1

Cardiovascular Solid Mechanics: Cells, Tissues, and Organs / Edition 1

by Jay D. Humphrey
     
 

Cardiovascular Solid Mechanics: Cells, Tissues, and Organs is a vital resource for courses on cardiovascular solid mechanics or soft tissue biomechanics. Focusing on the response of the heart and blood vessels to mechanical loads from the perspective of nonlinear solid mechanics, its primary goal is to integrate basic analytical, experimental, and computational

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Overview

Cardiovascular Solid Mechanics: Cells, Tissues, and Organs is a vital resource for courses on cardiovascular solid mechanics or soft tissue biomechanics. Focusing on the response of the heart and blood vessels to mechanical loads from the perspective of nonlinear solid mechanics, its primary goal is to integrate basic analytical, experimental, and computational methods to offer a more complete understanding of the underlying mechanobiology. While dealing primarily with cardiovascular mechanics, both the fundamental methods and many of the specific results are applicable to many different soft tissues, making this book an excellent general introduction to soft tissue biomechanics overall.

Divided into three parts, Cardiovascular Solid Mechanics presents a practical and rational approach to biomechanics. Part I, Foundations, briefly reviews historical points of interest, basic molecular and cell biology, histology, and an overview of soft tissue mechanics. In order to provide not only a working framework, but also to give key references for those who wish to develop and extend biomechanics, included are mathematical preliminaries and salient results from continuum mechanics, finite elasticity, experimental mechanics, and finite elements. Part II, Vascular Mechanics, reviews the anatomy, histology, and physiology of arteries, illustrating and discussing constitutive formulations and stress analyses for healthy mature arteries. Considerable attention is given to the concept of residual stress and the mechanics of a number of vascular disorders, including atherosclerosis, aneurysms, and hypertension, as well as the mechanics of popular endovascular therapies such as balloon angioplasty. Part III, Cardiac Mechanics, reviews the requisite anatomy, histology, physiology, and pathology, and discusses the constitutive relations and stress analyses in the normal, mature heart. Finally, the book points the reader to areas of study that require more advanced theoretical, experimental, and computational methods, such as electromechanics, thermomechanics, mixture theory analysis of solid-fluid coupling, and damage mechanics.

This book is designed as a text for an upper-division course on cardiovascular solid mechanics but will also serve as a good introduction to soft tissue biomechanics. Exercises at the end of each chapter will clarify complex concepts for both students and more experienced readers. Clinicians, life scientists, engineers, and mathematicians will also find this an invaluable guide, with concise and practical chapters, all of which are amply referenced.

Cover illustration: Schema of a developing pathology of the arterial wall under mechanical stress.

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Product Details

ISBN-13:
9781441928979
Publisher:
Springer New York
Publication date:
12/01/2010
Edition description:
Softcover reprint of hardcover 1st ed. 2002
Pages:
758
Product dimensions:
6.10(w) x 9.20(h) x 1.70(d)

Table of Contents

1. INTRODUCTION.
1.1 Historical Prelude, 1.2 Basic Cell Biology, 1.3 The Extracellular Matrix, 1.4 Soft Tissue Behavior, 1.5 Needs and General Approach, 1.6 Exercises, 1.7 References.
2. MATHEMATICAL PRELIMINARIES
2.1 A Direct Tensor Notation, 2.2 Cartesian Components, 2.3 Further Results in Tensor Calculus, 2.4 Orthogonal Curvilinear Components, 2.5 Matrix Methods, 2.6 Exercises, 2.7 References,
3. CONTINUUM MECHANICS
3.1 Kinematics, 3.2 Forces, Tractions and Stresses, 3.3 Balance Relations, 3.4 Constitutive Formulations, 3.5 Boundary and Initial Conditions, 3.6 Exercises, 3.7 References,
4. FINITE ELASTICITY
4.1 Introduction, 4.2 Incompressible Isotropic Elasticity, 4.3 Solutions in 3-D Incompressible Elasticity,
4.4 Compressible Isotropic Elasticity, 4.5 Membrane Hyperelasticity, 4.6 Exercises, 4.7 References
5. EXPERIMENTAL METHODS
5.1 General Philosophy, 5.2 Measurement of Strain, 5.3 Measurement of Applied Loads, 5.4 Testing Conditions, 5.5 Parameter Estimation and Statistics, 5.6 Exercises, 5.7 References
6. Finite Element Methods
6.1 Fundamental Equations, 6.2 Interpolation, Integration, and Solvers, 6.3 An Illustrative Formulation, 6.4 Inflation of a Membrane, 6.5 Inverse Finite Elements, 6.6 Exercises, 6.7 References
PART II - VASCULAR MECHANICS
7. THE NORMAL ARTERIAL WALL
7.1 Structure and Function, 7.2 General Characteristics, 7.3 Constitutive Framework, 7.4 Experimental Methods, 7.5 Specific Constitutive Relations, 7.6 Stress Analyses, 7.7 Exercises, 7.8 References
8. VASCULAR DISORDERS
8.1 Hypertension, 8.2 Intracranial Aneurysms, 8.3 Atherosclerosis, 8.4 Aortic Aneurysms, 8.5 Additional Topics, 8.6 Exercises, 8.7 References
9. VASCULAR ADAPTATION
9.1 Mechanical Preliminaries, 9.2 Cellular Responses to Applied Loads, 9.3 Arterial Response to Hypertension, 9.4 Arterial Response to Altered Flow, 9.5 Vessel Response to Injury, 9.6 Veins as Arterial Grafts, 9.7 Aging, 9.8 Exercises, 9.9 References
PART III CARDIAC MECHANICS
10. THE NORMAL HEART
10.1 Structure and Function, 10.2 General Characteristics, 10.3 Constitutive Framework, 10.4 Constitutive Relations, 10.5 Stress Analyses, 10.6 Exercises, 10.7 References
11. EPILOGUE
APPENDICES
I. Nomenclature, Abbreviations, and Conversions
II. Results for Curvilinear Coordinates
III. Material Frame Indifference
11. CARDIAC DISORDERS
11.1 Ischemia
11.2 Volume Overload
11.3 Hypertrophy
11.4 Cardiac Aneurysms
11.5 Additional Topics

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