Introduction to Mechanics of Deformable Solids |
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Page 76
... interior pres- sure is plotted against diametral expansion for a ductile time - independent material , the curve is ... interior , to the exterior , and therefore to all portions of the shell originally under interior pressure p ( Fig ...
... interior pres- sure is plotted against diametral expansion for a ductile time - independent material , the curve is ... interior , to the exterior , and therefore to all portions of the shell originally under interior pressure p ( Fig ...
Page 175
... interior and exterior pressure . Consider a symmetric thick - walled sphere of inner radius a and outer radius . b under interior pressure pa and exterior pressure p ( Fig . 9.1 ) . Geometrically the sphere is equivalent to a set of ...
... interior and exterior pressure . Consider a symmetric thick - walled sphere of inner radius a and outer radius . b under interior pressure pa and exterior pressure p ( Fig . 9.1 ) . Geometrically the sphere is equivalent to a set of ...
Page 178
... interior pressures can be held in sufficiently ductile thick spheres before they go fully plastic and blow out in an ... interior pressure simply adds a hydrostatic pressure p everywhere , with no effect on yielding ( = σ0 ) , but with a ...
... interior pressures can be held in sufficiently ductile thick spheres before they go fully plastic and blow out in an ... interior pressure simply adds a hydrostatic pressure p everywhere , with no effect on yielding ( = σ0 ) , but with a ...
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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