## Introduction to Mechanics of Deformable Solids |

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Page 38

An obvious particular

Upon putting the differential equation in standard form , de Ек + E dt Ск 0 1 Ск the

An obvious particular

**solution**is e = 01 / EK , which is the asymptotic value of e .Upon putting the differential equation in standard form , de Ек + E dt Ск 0 1 Ск the

**solution**to the homogeneous equation ( right - hand side set equal to zero ) is e ...Page 169

The answer found is correct , but remember that in general a

the

, for fully stable materials and bodies , the history of the applied loading ...

The answer found is correct , but remember that in general a

**solution**may not bethe

**solution**. Uniqueness must be studied or at least stated . The statement is that, for fully stable materials and bodies , the history of the applied loading ...

Page 329

Analytic

the moment - curvature or torque - twist curve by linear - elastic response clear up

to a plastic - limit moment M , or To , at which point the deformation is unlimited ...

Analytic

**solution**is possible when the further approximation is made of replacingthe moment - curvature or torque - twist curve by linear - elastic response clear up

to a plastic - limit moment M , or To , at which point the deformation is unlimited ...

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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