## Introduction to mechanics of deformable solids |

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Page 35

The analogy to the linear-elastic idealization is clear; de/dt replaces e, and C

replaces Young's modulus E. If the bar is of ...

model, which combines elastic and viscous response, comes much closer to an ...

The analogy to the linear-elastic idealization is clear; de/dt replaces e, and C

replaces Young's modulus E. If the bar is of ...

**Linear**-**viscoelastic**A viscoelasticmodel, which combines elastic and viscous response, comes much closer to an ...

Page 327

Torsion (hollow or solid circular cross section only) : (14.2:20) Bending (in plane

of symmetry) : M = {EkI)k + (CKI)k (14.2:21)

viscoelastic material, linearity permits superposition, just as for linear-elastic

materials ...

Torsion (hollow or solid circular cross section only) : (14.2:20) Bending (in plane

of symmetry) : M = {EkI)k + (CKI)k (14.2:21)

**Linear**-**viscoelastic**For anyviscoelastic material, linearity permits superposition, just as for linear-elastic

materials ...

Page 433

... 365 Angle of twist, 55, 56 linear elastic, 323 linear Kelvin, 327 linear Maxwell,

326 nonlinear viscous, 328 Anisotropy, 69, ... strain, 10 in bending, 113, 145, 147

in pressurized tube, 80, 195, 294 in tension, elastic, 15, 80

... 365 Angle of twist, 55, 56 linear elastic, 323 linear Kelvin, 327 linear Maxwell,

326 nonlinear viscous, 328 Anisotropy, 69, ... strain, 10 in bending, 113, 145, 147

in pressurized tube, 80, 195, 294 in tension, elastic, 15, 80

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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