## Introduction to mechanics of deformable solids |

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chapter 13 Nonlinear thick-walled homogeneous cylinder and assemblage

solutions 290 chapter 14 Strength of materials approach to ... 13.2) 308 13.5

Interior Pressure pa plus Axial Force R—

Material 312 ...

chapter 13 Nonlinear thick-walled homogeneous cylinder and assemblage

solutions 290 chapter 14 Strength of materials approach to ... 13.2) 308 13.5

Interior Pressure pa plus Axial Force R—

**Nonlinear**-**viscous**(Homogeneous)Material 312 ...

Page 308

13.2) Elastic response (13.4:2) and initial yield (13.4:4) have been determined for

the cylinder subjected to R and T. The elastic-plastic response follows from the

results of the tube assemblage, just as for

13.2) Elastic response (13.4:2) and initial yield (13.4:4) have been determined for

the cylinder subjected to R and T. The elastic-plastic response follows from the

results of the tube assemblage, just as for

**nonlinear**-**viscous**material (Sec. 13.3).Page 433

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

linear Maxwell, 326

Antisymmetry, 112, 171 (See also under Symmetry) Approximation (see

Idealizations ...

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

linear Maxwell, 326

**nonlinear viscous**, 328 Anisotropy, 69, 216, 222, 266, 286Antisymmetry, 112, 171 (See also under Symmetry) Approximation (see

Idealizations ...

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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