Introduction to Mechanics of Deformable Solids |
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Page 177
... compatibility , and the stress - strain relations must be written down and used simultaneously in general . Equilibrium has been considered already ( 9.1 : 3 , 4 ) so that compatibility comes next . Limit pressure ( elastic - perfectly ...
... compatibility , and the stress - strain relations must be written down and used simultaneously in general . Equilibrium has been considered already ( 9.1 : 3 , 4 ) so that compatibility comes next . Limit pressure ( elastic - perfectly ...
Page 179
... Compatibility of strains The condition of deformation or compatibility follows directly from the expression for circumferential strain in terms of outward THICK - WALLED PRESSURE VESSELS / 17 ' radial displacement u ( Fig . 9.5c ) , Σπι ...
... Compatibility of strains The condition of deformation or compatibility follows directly from the expression for circumferential strain in terms of outward THICK - WALLED PRESSURE VESSELS / 17 ' radial displacement u ( Fig . 9.5c ) , Σπι ...
Page 202
... compatibility , and the stress - strain relations everywhere for one loading of a body and that another solution for the same body under a different loading is e " , de " / dt , o " , Then the actual response to the combined loading is ...
... compatibility , and the stress - strain relations everywhere for one loading of a body and that another solution for the same body under a different loading is e " , de " / dt , o " , Then the actual response to the combined loading is ...
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Common terms and phrases
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