## Introduction to mechanics of deformable solids |

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Page 208

This concludes the demonstration in words that the axisymmetric thin-walled tube

is one of the best specimens available for the determination of the stress-strain

relations of materials.

This concludes the demonstration in words that the axisymmetric thin-walled tube

is one of the best specimens available for the determination of the stress-strain

relations of materials.

**Radial**or proportional loading Consider now the biaxial ...Page 209

10.6 Yield stresses determined by

made between the state of stress of Fig. 4.17 and either <rc = —Oa = T Or Oa —

—Oc = T. Observe that the path of loading (history of stress), for each of the ...

10.6 Yield stresses determined by

**radial**or proportional loading. distinction to bemade between the state of stress of Fig. 4.17 and either <rc = —Oa = T Or Oa —

—Oc = T. Observe that the path of loading (history of stress), for each of the ...

Page 211

All paths of loading inside the initial yield curve elicit elastic response whether

they are

Plastic response, on the contrary, is irreversible, and the resulting components of

strain ...

All paths of loading inside the initial yield curve elicit elastic response whether

they are

**radial**or not. The state of strain is determined by the state of stress.Plastic response, on the contrary, is irreversible, and the resulting components of

strain ...

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### Common terms and phrases

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 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 rotation shaft shear strain shear stress shell shown in Fig 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 tion torque torsion uniform unloading versus viscous yield curve yield stress zero