Introduction to Mechanics of Deformable Solids |
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Page 8
... Material 297 Assemblage of two tubes of the same nonlinear - viscous material , Pa = p = Pb 0 298 = Thick - walled nonlinear - viscous cylinder , pa = Pb = 0 300 13.4 Elastic - Perfectly Plastic ( Homogeneous ) Material , R plus T 301 ...
... Material 297 Assemblage of two tubes of the same nonlinear - viscous material , Pa = p = Pb 0 298 = Thick - walled nonlinear - viscous cylinder , pa = Pb = 0 300 13.4 Elastic - Perfectly Plastic ( Homogeneous ) Material , R plus T 301 ...
Page 35
... material . The analogy to the linear - elastic ideali- zation is clear ; de / dt replaces e , and C replaces Young's modulus E. d If the bar is of length L , its elongation is ♪ = L , and its rate of elongation is dô / dt = ( de / dt ) ...
... material . The analogy to the linear - elastic ideali- zation is clear ; de / dt replaces e , and C replaces Young's modulus E. d If the bar is of length L , its elongation is ♪ = L , and its rate of elongation is dô / dt = ( de / dt ) ...
Page 197
... material . There is no change at all in the equations of equilibrium ( 9.3 : 18 , 19 ) , but substitutions are ... materials Nonlinear materials Problems.
... material . There is no change at all in the equations of equilibrium ( 9.3 : 18 , 19 ) , but substitutions are ... materials Nonlinear materials Problems.
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angle applied assemblage axes axial force beam behavior buckling cantilever centroid circular circumferential column compatibility components of stress compression constant creep cross section cylinder deflection diameter direction displacement elastic elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous idealization inelastic initial interior pressure isotropic J₂ Kelvin Kelvin material limit linear Maxwell linear-elastic linear-viscoelastic linear-viscous load M₂ material maximum Maxwell material modulus Mohr's circle neutral axis nonlinear nonlinear-viscous normal stress P₁ P₂ perfectly plastic perpendicular plane plastic-limit principal stresses Prob problem radial radius ratio rotation shaft shear center 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 temperature tensile stress thick-walled time-dependent torsion twisting uniform unloading versus viscous yield curve yield stress Young's modulus zero ΕΙ σα σο στ