Contents -- Preface -- Chapter 1 Introduction -- Chapter 2 Vectors Dyadics and Tensors -- 2.1 Reference Frames and Coordinate Systems -- 2.2 Vectors -- 2.3 Dyadics and Tensors -- 2.4 Coordinate Transformation -- 2.5 Tensor Invariants -- 2.6 Special Tensors -- 2.7 Physical Components -- 2.8 Vector and Tensor Calculus -- 2.9 Problems -- Chapter 3 Analysis of Deformation -- 3.1 Deformation in One Dimension -- 3.2 Coordinate Systems and Base Vectors -- 3.3 Deformation Gradient Tensor -- 3.4 Deformation and Strain Tensors -- 3.5 Strain-Displacement Relations -- 3.6 Geometric Measures of Deformation -- 3.7 Principal Strains -- 3.8 Stretch and Rotation Tensors -- 3.9 Approximations -- 3.10 Deformation Rates -- 3.11 Compatibility Conditions -- 3.12 Problems -- Chapter 4 Analysis of Stress -- 4.1 Body and Contact Forces -- 4.2 Stress Tensors -- 4.3 Relations Between Stress Components -- 4.4 Physical Interpretation of Stress Components -- 4.5 Principal Stresses -- 4.6 Equations of Motion -- 4.7 Problems -- Chapter 5 Constitutive Relations -- 5.1 Thermodynamics of Deformation -- 5.2 Fundamental Constitutive Principles -- 5.3 Strain-Energy Density Function -- 5.4 Stress-Strain Relations -- 5.5 Incompressibility -- 5.6 Linear Elastic Material -- 5.7 Determining W for Soft Tissues -- 5.8 Problems -- Chapter 6 Biomechanics Applications -- 6.1 Boundary Value Problems -- 6.2 Extension and Compression of Soft Tissue -- 6.3 Simple Shear of Soft Tissue -- 6.4 Extension and Torsion of a Papillary Muscle -- 6.5 Extension Inflation and Torsion of an Artery with Residual Stress -- 6.6 Passive Filling of the Left Ventricle -- 6.7 Blastula with Internal Pressure -- 6.8 Bending of the Embryonic Heart -- 6.9 Problems -- Appendix A Linear Theory of Elasticity -- A.1 Mathematical Preliminaries -- A.2 Analysis of Deformation.

A.3 Analysis of Stress -- A.4 Constitutive Relations -- A.5 Boundary Value Problems -- Appendix B Special Coordinate Systems -- B.1 Cylindrical Polar Coordinates -- B.2 Spherical Polar Coordinates -- B.3 Toroidal Coordinates -- Bibliography -- Index.