## Introduction to mechanics of deformable solids |

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Page 35

A viscous element is shown pictorially by a

a single linear

linear spring (Fig. 3.8). For each element of the model, change in length

represents ...

A viscous element is shown pictorially by a

**dashpot**, a linear-viscous material bya single linear

**dashpot**as in Fig. 3.7. A linear-elastic element is pictured as alinear spring (Fig. 3.8). For each element of the model, change in length

represents ...

Page 37

During the short time of application of the load, the motion of the

supposed negligible. The abrupt loading is symbolized in Fig. 3.11 by the steep

line to the left of the stress axis on the stress vs time plot for both the Kelvin and

the ...

During the short time of application of the load, the motion of the

**dashpot**issupposed negligible. The abrupt loading is symbolized in Fig. 3.11 by the steep

line to the left of the stress axis on the stress vs time plot for both the Kelvin and

the ...

Page 42

The sudden imposition of a strain t! stretches the spring of the Maxwell

component but does not strain the Kelvin component or the Maxwell

immediately. A stress of EMti is imposed. As time goes on, the Maxwell and the

Kelvin ...

The sudden imposition of a strain t! stretches the spring of the Maxwell

component but does not strain the Kelvin component or the Maxwell

**dashpot**immediately. A stress of EMti is imposed. As time goes on, the Maxwell and the

Kelvin ...

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applied assemblage axial force beam behavior centroid circumferential column compatibility components of stress conditions of deformation constant creep cross section cylinder deflection diameter direction displacement elastic-perfectly plastic elongation equations of equilibrium factor of safety free-body sketch fully plastic homogeneous idealization increase inelastic initial interior pressure isotropic Kelvin Kelvin material limit linear Maxwell linear-elastic response linear-viscoelastic linear-viscous load maximum Maxwell material modulus Mohr's circle neutral axis nonlinear normal stress outer perfectly plastic perpendicular plane plastic deformation plastic-limit Poisson's ratio principal stresses Prob problem pure bending radial radius ratio rectangular residual stress rotation shaft shear strain shear stress shell shown in Fig simple shear solution statically statically determinate steel stress and strain stress-strain curve stress-strain relations Suppose surface symmetry temperature tensile stress thick-walled sphere thickness time-dependent tion torque torsion uniform unloading versus viscous yield curve yield stress zero