## Introduction to mechanics of deformable solids |

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Page 59

If the

change of scale, the

small y there is, as mentioned previously, no important difference between tan y

and y ...

If the

**shear**-stress vs**shear**-strain curves are**simple**T versus <p curves with achange of scale, the

**shear**strain as computed will be tan y automatically. Forsmall y there is, as mentioned previously, no important difference between tan y

and y ...

Page 61

Table 4.1 as appropriate and suggestive descriptions for shear as for tension.

Changes in length now ... Elastic and inelastic materials do exist which show

small extension or contraction under

exhibit ...

Table 4.1 as appropriate and suggestive descriptions for shear as for tension.

Changes in length now ... Elastic and inelastic materials do exist which show

small extension or contraction under

**simple shear**. Correspondingly, they mayexhibit ...

Page 63

Strain The picture of

extension in some directions and contraction in others. Figure 4.18 shows how a

small rectangular element, of dimensions a X b (see also Fig. 4.9), is distorted

into a ...

Strain The picture of

**simple shearing**strain similarly may be thought of asextension in some directions and contraction in others. Figure 4.18 shows how a

small rectangular element, of dimensions a X b (see also Fig. 4.9), is distorted

into a ...

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applied assemblage axial force beam behavior centroid circumferential column compatibility components of stress conditions of deformation constant creep cross section cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch fully plastic homogeneous idealization increase inelastic initial interior pressure isotropic Kelvin Kelvin material limit linear Maxwell linear-elastic response linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit Poisson's ratio principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell simple shear solution statically statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled sphere thickness time-dependent torque torsion uniform unloading versus viscous yield curve yield stress zero