Introduction to Mechanics of Deformable Solids |
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Page 104
... unloading , however , the elastic modulus E again controls . A temperature change at any stage in the unloading will alter the state of stress ( the forces P1 and P2 ) , and care must be taken to use the appropriate modulus for each ...
... unloading , however , the elastic modulus E again controls . A temperature change at any stage in the unloading will alter the state of stress ( the forces P1 and P2 ) , and care must be taken to use the appropriate modulus for each ...
Page 123
... unloaded abruptly to M = 0 , and finally kept at zero for all subsequent time : 1. Find the initial angular rotation . 2. Find the value of 0 after the long time t4 . 3. What is the value of immediately upon unloading ? 4. What is the ...
... unloaded abruptly to M = 0 , and finally kept at zero for all subsequent time : 1. Find the initial angular rotation . 2. Find the value of 0 after the long time t4 . 3. What is the value of immediately upon unloading ? 4. What is the ...
Page 150
... unloading from a value of M close to M。 in a perfectly plastic doubly symmetric beam . Superposition of the elastic unloading stress distribution on the plastic dis- tribution provides a direct method of obtaining the residual stress ...
... unloading from a value of M close to M。 in a perfectly plastic doubly symmetric beam . Superposition of the elastic unloading stress distribution on the plastic dis- tribution provides a direct method of obtaining the residual stress ...
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Common terms and phrases
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