## Introduction to mechanics of deformable solids |

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Page 19

A very useful

linear-elastic behavior up to yield, followed by unlimited plastic strain at constant

stress and without volume change. The picture is very much like that for the ...

A very useful

**idealization**in practice and in theoretical development is to assumelinear-elastic behavior up to yield, followed by unlimited plastic strain at constant

stress and without volume change. The picture is very much like that for the ...

Page 117

Linear-work-hardening

harden (Figs. 2.2, 2.6), there is no maximum or limit moment as there is for the

perfectly plastic

actual ...

Linear-work-hardening

**idealization**For a material which continues to work-harden (Figs. 2.2, 2.6), there is no maximum or limit moment as there is for the

perfectly plastic

**idealization**. It is not necessary to**idealize**the material. Theactual ...

Page 438

... 36, 41 (See also under Four-element model; Kelvin or Voigt model; Maxwell;

Viscous coefficient) time-independent, 16 (See also under Elastic , Plastic ; Rigid-

plastic

...

... 36, 41 (See also under Four-element model; Kelvin or Voigt model; Maxwell;

Viscous coefficient) time-independent, 16 (See also under Elastic , Plastic ; Rigid-

plastic

**idealization**, Work- hardening) Imperfect column, 410-413 Incompressible...

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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 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