## Introduction to Mechanics of Deformable Solids |

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Page 19

A very useful idealization in practice and in theoretical development is to assume

linear - elastic behavior up to

constant stress and without volume change . The picture is very much like that for

the ...

A very useful idealization in practice and in theoretical development is to assume

linear - elastic behavior up to

**yield**, followed by unlimited plastic strain atconstant stress and without volume change . The picture is very much like that for

the ...

Page 211

10.7

definition of

curve ) separates the states of stress da , oc on the inside , for which the

response of ...

10.7

**Yield**curves for combined tension and torsion . moderate to large offsetdefinition of

**yield**. The curve which joins the initial**yield**points ( the initial**yield**curve ) separates the states of stress da , oc on the inside , for which the

response of ...

Page 303

To / b = 101 / 6 + T 02 / 6 Current

Top16 Toi ER or N Noi = No3 ) Initial

Limit curve T * / b versus R * Fig . 13 . 4 Assemblage of two tubes of elastic ...

To / b = 101 / 6 + T 02 / 6 Current

**yield**curve at 0 , T . TY / b No = Noi + No2 ~Top16 Toi ER or N Noi = No3 ) Initial

**yield**curve T * / b versus Ni T $ / b versus NLimit curve T * / b versus R * Fig . 13 . 4 Assemblage of two tubes of elastic ...

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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