Introduction to Mechanics of Deformable Solids |
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Page 37
... Kelvin model σe = συ π Exe Ск de dt independently of the prior history of the stress and the strain . The differential equation governing the behavior of the Kelvin model in tension ( or equally well in compression ) is σ = σe + ov ...
... Kelvin model σe = συ π Exe Ск de dt independently of the prior history of the stress and the strain . The differential equation governing the behavior of the Kelvin model in tension ( or equally well in compression ) is σ = σe + ov ...
Page 39
... Kelvin model Therefore В = -01 / EK , and the Kelvin creep curve for abrupt loading is given by € = 01 EK ( 1 1 e- ( Ex / Cxt ) This expression checks the intuitive feeling that in a Kelvin material the stiffer the spring the sooner any ...
... Kelvin model Therefore В = -01 / EK , and the Kelvin creep curve for abrupt loading is given by € = 01 EK ( 1 1 e- ( Ex / Cxt ) This expression checks the intuitive feeling that in a Kelvin material the stiffer the spring the sooner any ...
Page 42
... Kelvin , √e = ε . = EM + EK while the stress imposed upon each is the applied stress σ = σM = σK These same ... Kelvin component or the Maxwell dashpot imme- diately . A stress of Eme1 is imposed . As time goes on , the Maxwell and the ...
... Kelvin , √e = ε . = EM + EK while the stress imposed upon each is the applied stress σ = σM = σK These same ... Kelvin component or the Maxwell dashpot imme- diately . A stress of Eme1 is imposed . As time goes on , the Maxwell and the ...
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Common terms and phrases
aluminum applied assemblage axial force beam behavior change in length circle circumferential column components of stress computed constant cross section cylinder dashpot deflection diameter dimensions direction displacement elastic elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch homogeneous HR steel idealization increase inelastic initial interior pressure isotropic Kelvin material linear Maxwell linear-elastic linear-viscous load M₂ maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer P₁ P₂ perfectly plastic perpendicular plane plastic deformation plastic-limit Prob problem pure bending radial radius ratio residual stress rotation shaft shear strain shear stress shell shown in Fig simple shear simple tension solution statically statically indeterminate stress and strain stress-strain curve stress-strain relations structural Suppose surface symmetry t₁ temperature tensile stress thick-walled thickness time-dependent torsion uniaxial uniform unloading versus viscous yield point yield stress Young's modulus zero ΕΙ σα σο στ