Cardiovascular solid mechanics
Subtitle: cells, tissues, and organs
By: Jay D. Humphrey.
Publisher: Springer
Published: 2002
Place of publication: New York
Language: eng
Number of pages: 757
Subjects: Cardiovascular system -- Pathophysiology.; Cardiovascular system -- Mechanical properties.; Biomechanics -- Research -- Methodology.; Nonlinear mechanics.
Notes: Includes bibliographical references and index.
Table of contents: title: Machine generated contents note: Part I-Foundations1; title: 1. Introduction3; title: 1.1 Historical Prelude4; title: 1.2 Basic Cell Biology14; title: 1.3 The Extracellular Matrix18; title: 1.4 Soft Tissue Behavior24; title: 1.5 Needs and General Approach:; title: Clinical Motivations32; title: 1.6 Exercises36; title: 1.7 References37; title: 2. Mathematical Preliminaries40; title: 2.1 A Direct Tensor Notation40; title: 2.2 Cartesian Components45; title: 2.3 Further Results in Tensor Calculus53; title: 2.4 Orthogonal Curvilinear Components55; title: 2.5 Matrix Methods62; title: 2.6 Exercises65; title: 2.7 References66; title: 3. Continuum Mechanics68; title: 3.1 Kinematics69; title: 3.2 Forces, Tractions, and Stresses79; title: 3.3 Basic Postulates82; title: 3.4 Constitutive Formulations86; title: 3.5 Boundary and Initial Conditions101; title: 3.6 Exercises102; title: 3.7 References105; title: 4. Finite Elasticity107; title: 4.1 Incompressible Isotropic Elasticity107; title: 4.2 Solutions in 3D Incompressible Elasticity116; title: 4.3 Compressible Isotropic Elasticity131; title: 4.4 Membrane Hyperelasticity136; title: 4.5 Exercises151; title: 4.6 References155; title: 5. Experimental Methods158; title: 5.1 General Philosophy158; title: 5.2 Measurement of Strain165; title: 5.3 Measurement of Applied Loads179; title: 5.4 Computer-Aided Experimentation188; title: 5.5 Parameter Estimation and Statistics198; title: 5.6 Exercises205; title: 5.7 References208; title: 6. Finite Elements211; title: 6.1 Fundamental Equations213; title: 6.2 Interpolation, Integration, and Solvers216; title: 6.3 An Illustrative Formulation223; title: 6.4 Inflation of a Membrane234; title: 6.5 Inverse Finite Elements237; title: 6.6 Exercises239; title: 6.7 References244; title: Part HI-Vascular Mechanics247; title: 7. The Normal Arterial Wall249; title: 7.1 Structure and Function249; title: 7.2 General Characteristics264; title: 7.3 Constitutive Framework289; title: 7.4 Experimental Methods310; title: 7.5 Specific Constitutive Relations319; title: 7.6 Stress Analyses335; title: 7.7 Exercises354; title: 7.8 References357; title: 8. Vascular Disorders365; title: 8.1 Hypertension365; title: 8.2 Intracranial Aneurysms386; title: 8.3 Atherosclerosis429; title: 8.4 Aortic Aneurysms446; title: 8.5 Additional Topics459; title: 8.6 Exercises473; title: 8.7 References476; title: 9. Vascular Adaptation499; title: 9.1 Mechanical Preliminaries500; title: 9.2 Cellular Responses to Applied Loads522; title: 9.3 Arterial Response to Hypertension539; title: 9.4 Arterial Response to Altered Flow551; title: 9.5 Vessel Response to Injury562; title: 9.6 Veins as Arterial Grafts569; title: 9.7 Aging578; title: 9.8 Exercises580; title: 9.9 References584; title: Part Ill-Cardiac Mechanics599; title: 10. The Normal, Mature Heart601; title: 10.1 Structure and Function601; title: 10.2 General Characteristics617; title: 10.3 Constitutive Framework633; title: 10.4 Constitutive Relations655; title: 10.5 Stress Analysis698; title: 10.6 Exercises709; title: 10.7 References712; title: 11. Epilogue725; title: 11.1 References729; title: Appendices730; title: I. Nomenclature, Common Abbreviations, and; title: Conversion Factors730; title: I.1 Nomenclature730; title: I.2 Common Abbreviations733; title: I.3 Conversion Factors733; title: II. Results for Curvilinear Coordinates735; title: II.1 Cylindrical Coordinates735; title: II.2 Spherical Coordinates741; title: II.3 Prolate Spheroidal Coordinates743; title: II.4 Exercises744; title: II.5 Reference745; title: III. Material Frame-Indifference746; title: III.1 Exercises749.