Introduction to Mechanics of Deformable Solids |
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... Nonlinear - viscous Material 297 Assemblage of two tubes of the same nonlinear - viscous material , Pap Pb = 0 298 Thick - walled nonlinear - viscous cylinder , Pa = pr = = 0 300 13.4 Elastic - Perfectly Plastic ( Homogeneous ) Material ...
... Nonlinear - viscous Material 297 Assemblage of two tubes of the same nonlinear - viscous material , Pap Pb = 0 298 Thick - walled nonlinear - viscous cylinder , Pa = pr = = 0 300 13.4 Elastic - Perfectly Plastic ( Homogeneous ) Material ...
Page 271
... nonlinear - elastic relations ( 12.3 : 1–4 ) converts them to isotropic nonlinear - viscous relations ( superscript v is added for clarity ) . In particular , if incompressibility is assumed and J2 alone of the three independent ...
... nonlinear - elastic relations ( 12.3 : 1–4 ) converts them to isotropic nonlinear - viscous relations ( superscript v is added for clarity ) . In particular , if incompressibility is assumed and J2 alone of the three independent ...
Page 327
... Nonlinear - viscous and nonlinear Maxwell idealizations Superposition , or the simple addition of separate solutions , is not applicable in the nonlinear domain . The individual solutions for axial force , torsion , and bending have ...
... Nonlinear - viscous and nonlinear Maxwell idealizations Superposition , or the simple addition of separate solutions , is not applicable in the nonlinear domain . The individual solutions for axial force , torsion , and bending have ...
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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