Introduction to Mechanics of Deformable Solids |
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Page 37
... Kelvin model σe = σ " = Εκε de Ck 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 v σ = σe + σ ...
... Kelvin model σe = σ " = Εκε de Ck 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 v σ = σe + σ ...
Page 39
... Kelvin material the stiffer the spring the sooner any given fraction of the asymptotic strain σ1 / EK is reached ... Kelvin model have similar features but represent very different idealizations of the behavior of the material . The ...
... Kelvin material the stiffer the spring the sooner any given fraction of the asymptotic strain σ1 / EK is reached ... Kelvin model have similar features but represent very different idealizations of the behavior of the material . The ...
Page 42
... Kelvin , ε = EM + EK while the stress imposed upon each is the applied stress 6 = 0 = σκ These same conditions on ... Kelvin component or the Maxwell dashpot imme- diately . A stress of Eme1 is imposed . As time goes on , the Maxwell and ...
... Kelvin , ε = EM + EK while the stress imposed upon each is the applied stress 6 = 0 = σκ These same conditions on ... Kelvin component or the Maxwell dashpot imme- diately . A stress of Eme1 is imposed . As time goes on , the Maxwell and ...
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actual addition angle answer applied assemblage axes axial axis beam behavior bending circle circular column compatibility components compression compressive stress Consider constant creep cross section curve cylinder deflection deformation determined diameter direction displacement effect elastic equal equation equilibrium example Figure Find force given gives homogeneous idealization increase initial interior isotropic length limit linear linear-elastic load material maximum Maxwell modulus moment needed nonlinear normal obtained outer plane plastic positive pressure principal Prob problem produced pure radius range ratio replaced requires response result rotation shaft shear stress shell shown shows simple sketch solid solution steel strain stress-strain relations structural Suppose surface symmetry temperature tensile tension thickness thin-walled torsion tube twisting uniform unloading viscous yield zero