## Introduction to mechanics of deformable solids |

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Page 59

If the

change of scale, the

small 7 there is, as mentioned previously, no important difference between tan 7

and ...

If the

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

**shear**strain as computed will be tan y automatically. Forsmall 7 there is, as mentioned previously, no important difference between tan 7

and ...

Page 61

Daniel Charles Drucker. Table 4.1 Model

c, E, C, c a/E de' + rfe" Linear-elastic Plastic 7 = t/0 dy = dy' + dy? de di dt de dt e

Linear-viscous dy t C 1 da a a Linear Maxwell Linear Kelvin Nonlinear Maxwell ...

Daniel Charles Drucker. Table 4.1 Model

**Simple shear**Uniaxial tension All G, C„c, E, C, c a/E de' + rfe" Linear-elastic Plastic 7 = t/0 dy = dy' + dy? de di dt de dt e

Linear-viscous dy t C 1 da a a Linear Maxwell Linear Kelvin Nonlinear Maxwell ...

Page 63

3 r_i6 = -t cos (-90°) = 0 The

equivalent to the biaxial 45° picture of equal tension and compression at right

angles unaccompanied by any shear (Fig. 4.17), a+Xi = — o-n = t. The absence

of shear on ...

3 r_i6 = -t cos (-90°) = 0 The

**simple shear**picture of t alone is completelyequivalent to the biaxial 45° picture of equal tension and compression at right

angles unaccompanied by any shear (Fig. 4.17), a+Xi = — o-n = t. The absence

of shear on ...

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angle applied assemblage axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cross section cylinder dashpot deflection diameter direction displacement elastic-perfectly plastic elongation equation of virtual equations of equilibrium factor of safety free-body sketch 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 principal stresses Prob problem pure bending radial radius ratio rotation shaft shear center shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel strain rate stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled thickness time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress zero