## Introduction to mechanics of deformable solids |

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chapter 13 Nonlinear thick-walled

solutions 290 chapter 14 Strength of materials approach to bars under axial force

, shafts, and beams 321 13.1 Previous Stopping Point and Restatement of

Problem ...

chapter 13 Nonlinear thick-walled

**homogeneous**cylinder and assemblagesolutions 290 chapter 14 Strength of materials approach to bars under axial force

, shafts, and beams 321 13.1 Previous Stopping Point and Restatement of

Problem ...

Page 89

Considerations of equilibrium, of strains and the deformations they are

compatible with, and of stress-strain relations all have entered into the discussion

of these

material ...

Considerations of equilibrium, of strains and the deformations they are

compatible with, and of stress-strain relations all have entered into the discussion

of these

**homogeneous**states. However, the stress-strain relations for thematerial ...

Page 207

An appreciable region should be under closely

The axisymmetric long thin-walled circular tube will be seen again to be a most

appropriate specimen. Axial symmetry Consider axial tension alone, R — N (Fig.

An appreciable region should be under closely

**homogeneous**stress and strain.The axisymmetric long thin-walled circular tube will be seen again to be a most

appropriate specimen. Axial symmetry Consider axial tension alone, R — N (Fig.

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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