Introduction to Mechanics of Deformable Solids |
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Page 209
... radial or proportional loading . distinction to be made between the state of stress of Fig . 4.17 and either σε = –σα = 7 Οι σα = -σc = T. Observe that the path of loading ( history of stress ) , for each of the states described so far ...
... radial or proportional loading . distinction to be made between the state of stress of Fig . 4.17 and either σε = –σα = 7 Οι σα = -σc = T. Observe that the path of loading ( history of stress ) , for each of the states described so far ...
Page 210
... radial line OB of Fig . 10.6 . As p increases from zero , the stress point moves out along this line , with stress ratio fixed at σ . / σa = 2 . Yielding is indicated by the open circle at B. The stress plane with axes oa , Oc is useful ...
... radial line OB of Fig . 10.6 . As p increases from zero , the stress point moves out along this line , with stress ratio fixed at σ . / σa = 2 . Yielding is indicated by the open circle at B. The stress plane with axes oa , Oc is useful ...
Page 211
... radial or not . The state of strain is determined by the state of stress . Plastic response , on the contrary , is irreversible , and the resulting components of strain depend upon the history of the stress . They may be very different ...
... radial or not . The state of strain is determined by the state of stress . Plastic response , on the contrary , is irreversible , and the resulting components of strain depend upon the history of the stress . They may be very different ...
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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