Introduction to Mechanics of Deformable Solids |
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Page 185
... shell by one or two thin shells or more has all these virtues . Each shell can have a different material behavior if the material properties of the actual sphere vary with radius r . Although each shell will be treated as very thin ...
... shell by one or two thin shells or more has all these virtues . Each shell can have a different material behavior if the material properties of the actual sphere vary with radius r . Although each shell will be treated as very thin ...
Page 186
... shell approximation . As for the single - shell model , the difference between interior and exterior pressure acting on each shell is impossibly large for a thin - walled shell . A " fuzzy " statement is that in some sense p lies ...
... shell approximation . As for the single - shell model , the difference between interior and exterior pressure acting on each shell is impossibly large for a thin - walled shell . A " fuzzy " statement is that in some sense p lies ...
Page 187
... shells , ( PaL = σ1 + P12 = σ0 = P12 ) a 211 α 81 for the inner shell 1 and ( 9.1 : 38 ) ( P21 2 Ô2 = σ2 + Pb = σ0 = - Pr ) b 2t2 for the outer shell 2 , where 2t1 equal thickness . From ( 9.1 : 39 ) : P21 = 212 b oo + po From ( 9.1 ...
... shells , ( PaL = σ1 + P12 = σ0 = P12 ) a 211 α 81 for the inner shell 1 and ( 9.1 : 38 ) ( P21 2 Ô2 = σ2 + Pb = σ0 = - Pr ) b 2t2 for the outer shell 2 , where 2t1 equal thickness . From ( 9.1 : 39 ) : P21 = 212 b oo + po From ( 9.1 ...
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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