## Introduction to mechanics of deformable solids |

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Page 18

... in the load P. When the strains are small, the change in the volume V = (tD2/4)

L of a circular bar of diameter D and length L is given by Complete

incompressibility or zero change in volume, dV = 0, requires eut = — e/2 or

... in the load P. When the strains are small, the change in the volume V = (tD2/4)

L of a circular bar of diameter D and length L is given by Complete

incompressibility or zero change in volume, dV = 0, requires eut = — e/2 or

**Poisson's ratio**v = \.Page 268

in simple shear C„ which replaces G, then is C/3, and (12.2:18) There is no point

in rewriting the remaining linear-viscous stress-strain relations. Just place a dot ...

**Poisson's ratio**v is replaced by \. As discussed in Sec. 4.4, the viscous coefficientin simple shear C„ which replaces G, then is C/3, and (12.2:18) There is no point

in rewriting the remaining linear-viscous stress-strain relations. Just place a dot ...

Page 315

9.3) for aa\ and aci into the Mises yield condition, 3JzY = <r0* = ali ~ "al^el + Oc\ (

13.6:1) Unless we take

. Incompressibility of the fluid between the tubes is not consistent with a volume ...

9.3) for aa\ and aci into the Mises yield condition, 3JzY = <r0* = ali ~ "al^el + Oc\ (

13.6:1) Unless we take

**Poisson's ratio**v to be £, an undesirable result is obtained. Incompressibility of the fluid between the tubes is not consistent with a volume ...

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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