List of Figures

Chapter 2: Continuum Mechanics and Linear Elasticity

Figure 2.1: Current and undeformed configurations of an arbitrary material body
Figure 2.2: An example of rigid body motion
Figure 2.3: Deformed and undeformed configurations of material line elements
Figure 2.4: The surface traction vector field
Figure 2.5: A rod in a state of uniaxial stress

Figure 3.1: (a) An elastoplastic rod in uniaxial tension; (b) stress-strain behavior showing hardening; (c) stress-strain behavior showing hardening and softening; (d) stiffening in the plastic range
Figure 3.2: (a) The stress-strain curve for mild steel, and (b) its perfectly plastic idealization
Figure 3.3: (a) Behavior in tension and compression; (b) the path-dependence of plastic behavior
Figure 3.4: Dependence of the stress-strain response on the rate of loading
Figure 3.5: Decomposition of the strain into elastic and plastic parts
Figure 3.6: (a) Stress-strain curves for kinematic hardening; (b) the situation in generalized stress space
Figure 3.7: The yield surface ?( ?, ?) = 0 and its projection onto stress space
Figure 3.8: Convexity of the yield region and the normality law
Figure 3.9: The von Mises and Tresca cylinders in principal stress space
Figure 3.10: The von Mises and Tresca yield surfaces in biaxial stress space
Figure 3.11: Isotropic and kinematic hardening behavior: A is the initial yield surface ( k ₁ = k ₂ = 0), B is a subsequent yield surface after isotropic hardening ( k ₁ = 0, k ₂ ? 0),...

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