## 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

7

definition of

curve ) separates the states of stress o a , Oc on the inside , for which the

response of the ...

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 o a , Oc on the inside , for which the

response of the ...

Page 303

T / 6 T / b = T1 / 6 + 102 / 6 Current

No2 * T 02 / 6 7016 R or N Noi = 10 : 2 ) T / b versus Ni Initial

versus N3 1 Limit curve T * / b versus R * Fig . 13 . Assemblage of two tubes of

elastic ...

T / 6 T / b = T1 / 6 + 102 / 6 Current

**yield**curve at O , TO TY 6 When No = Noi +No2 * T 02 / 6 7016 R or N Noi = 10 : 2 ) T / b versus Ni Initial

**yield**curve 7 : / bversus N3 1 Limit curve T * / b versus R * Fig . 13 . Assemblage of two tubes of

elastic ...

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### Common terms and phrases

acting actual addition angle answer applied approximation assemblage axial force axis beam behavior bending circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve deflection deformation determined direction displacement effect elastic equal equation equations of equilibrium example Find force given gives homogeneous idealization increase initial interior isotropic length limit linear linear-elastic load material maximum Maxwell modulus moment nonlinear normal obtained plane plastic positive pressure principal Prob problem produced pure radius range ratio relation replaced requires response result rotation shear stress shell shown shows simple sketch solution solved statically steel strain stress-strain relations structural substitution Suppose surface symmetry temperature tensile tension tion tube twisting uniform virtual viscous yield zero