## Introduction to Mechanics of Deformable Solids |

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Page 5

4 Yield Curves and Surfaces ( in Stress Space ) 210 Simplifications resulting from

chapter 12 (

4 Yield Curves and Surfaces ( in Stress Space ) 210 Simplifications resulting from

**isotropy**212 10 . 5 Problems 216 11 . ... 11 Strain Rate , or Velocity Strain 262chapter 12 (

**Isotropic**) stress - strain relations in three dimensions 264 12 .Page 215

12 Mises ellipse and Tresca hexagon as idealized yield curves for

material ( matched in simple tension , point A ) . proof of completeness of

information from one sector follows from the symmetries about the 45° lines COC

* and DOD ...

12 Mises ellipse and Tresca hexagon as idealized yield curves for

**isotropic**material ( matched in simple tension , point A ) . proof of completeness of

information from one sector follows from the symmetries about the 45° lines COC

* and DOD ...

Page 265

been studied and the concepts of

11 , the time has come to ... Nonlinearity of

introduced through an obvious modification of the linear

Fundamental ...

been studied and the concepts of

**isotropy**explored much more deeply in Chap .11 , the time has come to ... Nonlinearity of

**isotropic**material then will beintroduced through an obvious modification of the linear

**isotropic**forms .Fundamental ...

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acts actual addition angle answer applied assemblage axial axis beam behavior bending carry circle circular column combined compatibility components compression compressive stress Consider constant creep cross section curve deflection deformation determined diameter dimensions direction displacement effect elastic equal equation example Figure Find force given gives homogeneous idealization increase independent 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 response result rotation shear stress shell shown shows simple sketch solution steel strain stress-strain relations structural Suppose surface symmetry temperature tensile tension thickness thin-walled tube twisting uniform unloading versus viscous yield zero