Mehr zum Titel: | Machine generated contents note: Part I-Foundations11. Introduction3 -- 1.1 Historical Prelude4 -- 1.2 Basic Cell Biology14 -- 1.3 The Extracellular Matrix18 -- 1.4 Soft Tissue Behavior24 -- 1.5 Needs and General Approach: -- Clinical Motivations32 -- 1.6 Exercises36 -- 1.7 References37 -- 2. Mathematical Preliminaries40 -- 2.1 A Direct Tensor Notation40 -- 2.2 Cartesian Components45 -- 2.3 Further Results in Tensor Calculus53 -- 2.4 Orthogonal Curvilinear Components55 -- 2.5 Matrix Methods62 -- 2.6 Exercises65 -- 2.7 References66 -- 3. Continuum Mechanics68 -- 3.1 Kinematics69 -- 3.2 Forces, Tractions, and Stresses79 -- 3.3 Basic Postulates82 -- 3.4 Constitutive Formulations86 -- 3.5 Boundary and Initial Conditions101 -- 3.6 Exercises102 -- 3.7 References105 -- 4. Finite Elasticity107 -- 4.1 Incompressible Isotropic Elasticity107 -- 4.2 Solutions in 3D Incompressible Elasticity116 -- 4.3 Compressible Isotropic Elasticity131 -- 4.4 Membrane Hyperelasticity136 -- 4.5 Exercises151 -- 4.6 References155 -- 5. Experimental Methods158 -- 5.1 General Philosophy158 -- 5.2 Measurement of Strain165 -- 5.3 Measurement of Applied Loads179 -- 5.4 Computer-Aided Experimentation188 -- 5.5 Parameter Estimation and Statistics198 -- 5.6 Exercises205 -- 5.7 References208 -- 6. Finite Elements211 -- 6.1 Fundamental Equations213 -- 6.2 Interpolation, Integration, and Solvers216 -- 6.3 An Illustrative Formulation223 -- 6.4 Inflation of a Membrane234 -- 6.5 Inverse Finite Elements237 -- 6.6 Exercises239 -- 6.7 References244 -- Part HI-Vascular Mechanics247 -- 7. The Normal Arterial Wall249 -- 7.1 Structure and Function249 -- 7.2 General Characteristics264 -- 7.3 Constitutive Framework289 -- 7.4 Experimental Methods310 -- 7.5 Specific Constitutive Relations319 -- 7.6 Stress Analyses335 -- 7.7 Exercises354 -- 7.8 References357 -- 8. Vascular Disorders365 -- 8.1 Hypertension365 -- 8.2 Intracranial Aneurysms386 -- 8.3 Atherosclerosis429 -- 8.4 Aortic Aneurysms446 -- 8.5 Additional Topics459 -- 8.6 Exercises473 -- 8.7 References476 -- 9. Vascular Adaptation499 -- 9.1 Mechanical Preliminaries500 -- 9.2 Cellular Responses to Applied Loads522 -- 9.3 Arterial Response to Hypertension539 -- 9.4 Arterial Response to Altered Flow551 -- 9.5 Vessel Response to Injury562 -- 9.6 Veins as Arterial Grafts569 -- 9.7 Aging578 -- 9.8 Exercises580 -- 9.9 References584 -- Part Ill-Cardiac Mechanics599 -- 10. The Normal, Mature Heart601 -- 10.1 Structure and Function601 -- 10.2 General Characteristics617 -- 10.3 Constitutive Framework633 -- 10.4 Constitutive Relations655 -- 10.5 Stress Analysis698 -- 10.6 Exercises709 -- 10.7 References712 -- 11. Epilogue725 -- 11.1 References729 -- Appendices730 -- I. Nomenclature, Common Abbreviations, and -- Conversion Factors730 -- I.1 Nomenclature730 -- I.2 Common Abbreviations733 -- I.3 Conversion Factors733 -- II. Results for Curvilinear Coordinates735 -- II.1 Cylindrical Coordinates735 -- II.2 Spherical Coordinates741 -- II.3 Prolate Spheroidal Coordinates743 -- II.4 Exercises744 -- II.5 Reference745 -- III. Material Frame-Indifference746 -- III.1 Exercises749. Machine generated contents note: Part I-Foundations1 -- 1. Introduction3 -- 1.1 Historical Prelude4 -- 1.2 Basic Cell Biology14 -- 1.3 The Extracellular Matrix18 -- 1.4 Soft Tissue Behavior24 -- 1.5 Needs and General Approach: -- Clinical Motivations32 -- 1.6 Exercises36 -- 1.7 References37 -- 2. Mathematical Preliminaries40 -- 2.1 A Direct Tensor Notation40 -- 2.2 Cartesian Components45 -- 2.3 Further Results in Tensor Calculus53 -- 2.4 Orthogonal Curvilinear Components55 -- 2.5 Matrix Methods62 -- 2.6 Exercises65 -- 2.7 References66 -- 3. Continuum Mechanics68 -- 3.1 Kinematics69 -- 3.2 Forces, Tractions, and Stresses79 -- 3.3 Basic Postulates82 -- 3.4 Constitutive Formulations86 -- 3.5 Boundary and Initial Conditions101 -- 3.6 Exercises102 -- 3.7 References105 -- 4. Finite Elasticity107 -- 4.1 Incompressible Isotropic Elasticity107 -- 4.2 Solutions in 3D Incompressible Elasticity116 -- 4.3 Compressible Isotropic Elasticity131 -- 4.4 Membrane Hyperelasticity136 -- 4.5 Exercises151 -- 4.6 References155 -- 5. Experimental Methods158 -- 5.1 General Philosophy158 -- 5.2 Measurement of Strain165 -- 5.3 Measurement of Applied Loads179 -- 5.4 Computer-Aided Experimentation188 -- 5.5 Parameter Estimation and Statistics198 -- 5.6 Exercises205 -- 5.7 References208 -- 6. Finite Elements211 -- 6.1 Fundamental Equations213 -- 6.2 Interpolation, Integration, and Solvers216 -- 6.3 An Illustrative Formulation223 -- 6.4 Inflation of a Membrane234 -- 6.5 Inverse Finite Elements237 -- 6.6 Exercises239 -- 6.7 References244 -- Part HI-Vascular Mechanics247 -- 7. The Normal Arterial Wall249 -- 7.1 Structure and Function249 -- 7.2 General Characteristics264 -- 7.3 Constitutive Framework289 -- 7.4 Experimental Methods310 -- 7.5 Specific Constitutive Relations319 -- 7.6 Stress Analyses335 -- 7.7 Exercises354 -- 7.8 References357 -- 8. Vascular Disorders365 -- 8.1 Hypertension365 -- 8.2 Intracranial Aneurysms386 -- 8.3 Atherosclerosis429 -- 8.4 Aortic Aneurysms446 -- 8.5 Additional Topics459 -- 8.6 Exercises473 -- 8.7 References476 -- 9. Vascular Adaptation499 -- 9.1 Mechanical Preliminaries500 -- 9.2 Cellular Responses to Applied Loads522 -- 9.3 Arterial Response to Hypertension539 -- 9.4 Arterial Response to Altered Flow551 -- 9.5 Vessel Response to Injury562 -- 9.6 Veins as Arterial Grafts569 -- 9.7 Aging578 -- 9.8 Exercises580 -- 9.9 References584 -- Part Ill-Cardiac Mechanics599 -- 10. The Normal, Mature Heart601 -- 10.1 Structure and Function601 -- 10.2 General Characteristics617 -- 10.3 Constitutive Framework633 -- 10.4 Constitutive Relations655 -- 10.5 Stress Analysis698 -- 10.6 Exercises709 -- 10.7 References712 -- 11. Epilogue725 -- 11.1 References729 -- Appendices730 -- I. Nomenclature, Common Abbreviations, and -- Conversion Factors730 -- I.1 Nomenclature730 -- I.2 Common Abbreviations733 -- I.3 Conversion Factors733 -- II. Results for Curvilinear Coordinates735 -- II.1 Cylindrical Coordinates735 -- II.2 Spherical Coordinates741 -- II.3 Prolate Spheroidal Coordinates743 -- II.4 Exercises744 -- II.5 Reference745 -- III. Material Frame-Indifference746 -- III.1 Exercises749 |
