## Introduction to Mechanics of Deformable Solids |

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Page 6

chapter 13

solutions 290 13 . 1 Previous Stopping Point and Restatement of Problem 290 13

. 2 J 2 - type Stress - Strain Relations for pa , oc , 0q , Tac 295

J ...

chapter 13

**Nonlinear**thick - walled homogeneous cylinder and assemblagesolutions 290 13 . 1 Previous Stopping Point and Restatement of Problem 290 13

. 2 J 2 - type Stress - Strain Relations for pa , oc , 0q , Tac 295

**Nonlinear**- viscousJ ...

Page 18

behavior and yet be

determined by the stress , e = elo ) ; the unloading and reloading curve coincides

with the ...

**Nonlinear**- elastic Rubberlike materials may exhibit predominantly elasticbehavior and yet be

**nonlinear**. In simple tension the longitudinal strain isdetermined by the stress , e = elo ) ; the unloading and reloading curve coincides

with the ...

Page 271

3 : 1 or 2 ) are

which reduce to the linear forms when Fe is a constant ( 1 / E ) . They represent

elastic ( reversible ) behavior because the state of strain is determined uniquely

by the ...

3 : 1 or 2 ) are

**nonlinear**stress - strain relations for isotropic elastic materialwhich reduce to the linear forms when Fe is a constant ( 1 / E ) . They represent

elastic ( reversible ) behavior because the state of strain is determined uniquely

by the ...

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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