## Introduction to Mechanics of Deformable Solids |

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Page 104

A temperature change at any stage in the unloading will alter the state of stress (

the forces P , and P2 ) , and care must be taken to use the appropriate modulus

for each

A temperature change at any stage in the unloading will alter the state of stress (

the forces P , and P2 ) , and care must be taken to use the appropriate modulus

for each

**tube**. Once plastic strains occur , a return to initial conditions of ...Page 105

Elastic -

modulus E1 , and

E2 and viscous coefficient C2 . Let R be applied abruptly . The viscous response

of ...

Elastic -

**tube**- Maxwell -**tube**Suppose that**tube**1 is linear - elastic , withmodulus E1 , and

**tube**2 is linear - viscoelastic of the Maxwell type , with modulusE2 and viscous coefficient C2 . Let R be applied abruptly . The viscous response

of ...

Page 159

Correspondingly , it is no longer necessary to worry about the axial forces in each

between the two

.

Correspondingly , it is no longer necessary to worry about the axial forces in each

**tube**, as they , too , will be zero for zero applied axial force . The analogybetween the two

**tubes**in torsion and the two**tubes**in tension clearly is very close.

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### Common terms and phrases

actual addition angle answer applied assemblage axes axial axis beam behavior bending circle circular column combined 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 relation replaced requires residual 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 versus viscous yield zero