Introduction to Mechanics of Deformable Solids |
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Page 104
... tube . Once plastic strains occur , a return to initial conditions of temperature and zero load will leave a residual state of stress or force Pr -P20 in the tubes . = Elastic - tube - viscous - tube Suppose that tube 1 is linear ...
... tube . Once plastic strains occur , a return to initial conditions of temperature and zero load will leave a residual state of stress or force Pr -P20 in the tubes . = Elastic - tube - viscous - tube Suppose that tube 1 is linear ...
Page 105
... tube - Maxwell - tube Suppose that tube 1 is linear - elastic , with modu- lus E1 , and tube 2 is linear - viscoelastic of the Maxwell type , with modulus E2 and viscous coefficient C2 . Let R be applied abruptly . The viscous response of ...
... tube - Maxwell - tube Suppose that tube 1 is linear - elastic , with modu- lus E1 , and tube 2 is linear - viscoelastic of the Maxwell type , with modulus E2 and viscous coefficient C2 . Let R be applied abruptly . The viscous response of ...
Page 159
... tube , as they , too , will be zero for zero applied axial force . 1 2 1 The analogy between the two tubes in torsion and the two tubes in tension clearly is very close . Ti and T2 replace P1 and P2 , T replaces R , 1 and 2 replace d1 ...
... tube , as they , too , will be zero for zero applied axial force . 1 2 1 The analogy between the two tubes in torsion and the two tubes in tension clearly is very close . Ti and T2 replace P1 and P2 , T replaces R , 1 and 2 replace d1 ...
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applied assemblage axes axial force beam behavior cantilever centroid circumferential column compatibility components of stress constant creep cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization increase inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rigid end plates rotation shaft shear strain shear stress shell shown in Fig simple shear solution statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry T₁ T₂ temperature tensile tensile stress thick-walled time-dependent torque torsion uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ