## Introduction to Mechanics of Deformable Solids |

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Page 19

A very useful

linear - elastic behavior up to yield , followed by unlimited plastic strain at

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 assumelinear - elastic behavior up to yield , followed by unlimited plastic strain at

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

the ...

Page 117

Linear - work - hardening

workharden ( Figs . 2 . 2 , 2 . 6 ) , there is no maximum or limit moment as there is

for the perfectly plastic

Linear - work - hardening

**idealization**For a material which continues toworkharden ( Figs . 2 . 2 , 2 . 6 ) , there is no maximum or limit moment as there is

for the perfectly plastic

**idealization**. It is not necessary to**idealize**the material .Page 438

... 121 relaxation , 39 variable loading , 106 Kronecker delta , 221 bo I beam , 363

model , 125

Workhardening ) Imperfect column , 410 - 413 Incompressible , 17 , 44 , 77 , 78 ,

192 ...

... 121 relaxation , 39 variable loading , 106 Kronecker delta , 221 bo I beam , 363

model , 125

**Idealizations**of material ... Plastic ; Rigidplastic**idealization**,Workhardening ) Imperfect column , 410 - 413 Incompressible , 17 , 44 , 77 , 78 ,

192 ...

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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