chapter 1 Mathematical Foundations: Vectors and Matrices -- chapter FIGURE 1.1 Rectilinear coordinate system. -- chapter FIGURE 1.3 Spherical coordinate system. -- chapter FIGURE 1.5 Test figure for the divergence theorem. -- chapter 2 Mathematical Foundations: Tensors -- chapter 3 Introduction to Variational and Numerical Methods -- chapter 4 Kinematics of Deformation -- chapter FIGURE 4.2 Deformed and undeformed distances between adjacent points. -- chapter FIGURE 4.4 Element in undeformed and deformed configurations. -- chapter E =aX+aXY+aY E =b X +bXY+bY -- chapter 5 Mechanical Equilibrium and the Principle of Virtual Work -- chapter FIGURE 5.1 Equilibrium of a tetrahedron. -- chapter FIGURE 5.7 Plate element under traction. FIGURE 5.8 Plate element experiencing stress. -- chapter 6 Stress-Strain Relation and the Tangent-Modulus Tensor -- chapter FIGURE 6.1 Illustration of isotropy. -- chapter is =0 ie=0 -- chapter 7 Thermal and Thermomechanical Response -- chapter 8 Introduction to the Finite-Element Method -- chapter 9 Element Fields in Linear Problems -- chapter FIGURE 9.1 Rod element. FIGURE 9.2 Beam element. -- chapter FIGURE 9.3 Triangular plate element. -- chapter FIGURE 9.4 Axisymmetric element. -- chapter FIGURE 9.5 Tetrahedral element. -- chapter 10 Element and Global Stiffness and Mass Matrices -- chapter FIGURE 10.2 Beam with translational and rotational inertial and compliant boundary conditions. -- chapter FIGURE 10.4 Assembled beam stiffness matrix. -- chapter 11 Solution Methods for Linear Problems -- chapter 12 Rotating and Unrestrained Elastic Bodies -- chapter FIGURE 12.1 Elastic rod on rotating rigid shaft. -- chapter FIGURE 12.2 3-D unconstrained 3-D element. -- chapter 13 Thermal, Thermoelastic, and Incompressible Media -- chapter 14 Torsion and Buckling -- chapter FIGURE 14.2 Illustration of geometric relation. -- chapter FIGURE 14.3 Evaluation of twisting moment. -- chapter FIGURE 14.6 Plate element with in-plane compressive loads. -- chapter 15 Introduction to Contact Problems -- chapter FIGURE 15.2 Spring representing contact element. -- chapter FIGURE 15.3 Point-to-point contact. -- chapter FIGURE 15.4 Illustration of a gap-stiffness function. FIGURE 15.5 Element for point-to-surface contact. -- chapter 16 Introduction to Nonlinear FEA -- chapter FIGURE 16.1 Rubber rod under load. -- chapter FIGURE 16.3 Two rubber rods under load. -- chapter FIGURE 16.4 Illustration of the inverse tangent function. -- chapter 17 Incremental Principle of Virtual Work -- chapter FIGURE 17.1 Contact. -- chapter 18 Tangent-Modulus Tensors for Thermomechanical Response of Elastomers -- chapter 19 Inelastic and Thermoinelastic Materials -- chapter FIGURE 19.1 Illustration of inelastic strain. -- chapter FIGURE 19.2(b) Illustration of yield-surface motion under kinematic hardening. -- chapter FIGURE 19.2(c) Illustration of combined kinematic and isotropic hardening. -- chapter (19.26) (19.27) -- chapter FIGURE 19.3 Effect of load and temperature on yield surface. -- chapter FIGURE 19.5 Illustration of effect of damage on elastic-plastic properties. -- chapter 20 Advanced Numerical Methods -- chapter Monographs and Texts -- chapter Articles and Other Sources.