## Introduction to mechanics of deformable solids |

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Page 104

the tangent

however, the elastic

stage in the unloading will alter the state of stress (the forces Pt and P2), and care

must be ...

the tangent

**modulus**EUn instead of Young's**modulus**E. Upon unloading,however, the elastic

**modulus**E again controls. A temperature change at anystage in the unloading will alter the state of stress (the forces Pt and P2), and care

must be ...

Page 105

Elastic-tube- Maxwell -tube Suppose that tube 1 is linear-elastic, with

and tube 2 is linear-viscoelastic of the Maxwell type, with

viscous coefficient C2. Let R be applied abruptly. The viscous response of tube 2

has ...

Elastic-tube- Maxwell -tube Suppose that tube 1 is linear-elastic, with

**modulus**Ei,and tube 2 is linear-viscoelastic of the Maxwell type, with

**modulus**E2 andviscous coefficient C2. Let R be applied abruptly. The viscous response of tube 2

has ...

Page 416

_ 6A» k(4£,£) or 3 (VE + y/Ety 12 {y/E + \TEty M k = (16.4:5) where the double

)* is a reduced

holds ...

_ 6A» k(4£,£) or 3 (VE + y/Ety 12 {y/E + \TEty M k = (16.4:5) where the double

**modulus**for the bar (of rectangular cross section), Er = /JElE/_- (16.4:6) (V£ + Ve,)* is a reduced

**modulus**; Et < Er < E. The moment-curvature relation (16.4:5)holds ...

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### Common terms and phrases

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