Introduction to Mechanics of Deformable Solids |
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Page 76
... Addition of hydrostatic pressure po to Fig . 5.2 . A proper treatment of thick spherical shells must be postponed to Chap . 9 . However , it is worth noting here that rather thick shells of ductile metal , t./r perhaps as high as 4 , t ...
... Addition of hydrostatic pressure po to Fig . 5.2 . A proper treatment of thick spherical shells must be postponed to Chap . 9 . However , it is worth noting here that rather thick shells of ductile metal , t./r perhaps as high as 4 , t ...
Page 77
... addition of po = σ . Addition of this hydrostatic pressure reduces the biaxial tensile stress in the shell to zero ( Fig . 5.4 ) and results in a uniaxial compression po = σ in the radial direction . This uniaxial compression σ is ...
... addition of po = σ . Addition of this hydrostatic pressure reduces the biaxial tensile stress in the shell to zero ( Fig . 5.4 ) and results in a uniaxial compression po = σ in the radial direction . This uniaxial compression σ is ...
Page 296
... addition to the normal - stress components σa , σe increases J2 and therefore for n 1 increases the magnitude of " and " over their values for σa , Oc alone . Similarly , the presence of σa , σ , in addition to Tac adds to the magnitude ...
... addition to the normal - stress components σa , σe increases J2 and therefore for n 1 increases the magnitude of " and " over their values for σa , Oc alone . Similarly , the presence of σa , σ , in addition to Tac adds to the magnitude ...
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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