## Introduction to mechanics of deformable solids |

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Page 211

10.7

definition of yield. The curve which joins the initial yield points (the initial

of the ...

10.7

**Yield curves**for combined tension and torsion. moderate to large offsetdefinition of yield. The curve which joins the initial yield points (the initial

**yield****curve**) separates the states of stress aa, ac on the inside, for which the responseof the ...

Page 212

10.8 Yield surface for combined tension, torsion, and interior pressure.

Nonconvex, not permissible I Fig. 10.9

Yield points must lie inside shaded regions or on the bounding secants or chords

. shading in ...

10.8 Yield surface for combined tension, torsion, and interior pressure.

Nonconvex, not permissible I Fig. 10.9

**Yield curves**and surfaces are convex.Yield points must lie inside shaded regions or on the bounding secants or chords

. shading in ...

Page 302

Then, as the loads are increased in any manner, yield will be reached first at the

outer radius r = b because oV is ... 3^=25=7.68 The initial

R2 + 7.68 = N02 = [<rt(i, + A2)]2 = (2a<>A2)2 (13.4:5) Figure 13.4 shows this ...

Then, as the loads are increased in any manner, yield will be reached first at the

outer radius r = b because oV is ... 3^=25=7.68 The initial

**yield curve**(13.4:4) isR2 + 7.68 = N02 = [<rt(i, + A2)]2 = (2a<>A2)2 (13.4:5) Figure 13.4 shows this ...

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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