## Introduction to Mechanics of Deformable Solids |

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Page 19

The history of the

idealization in practice and in theoretical development is to assume linear -

elastic behavior up to

and ...

The history of the

**stress**is important , as well as its final value . A very usefulidealization in practice and in theoretical development is to assume linear -

elastic behavior up to

**yield**, followed by unlimited plastic strain at constant**stress**and ...

Page 210

4 / YIELD CURVES AND SURFACES ( IN STRESS SPACE ) Suppose now that a

number of closed - end thin - walled ... then is appropriate , with separation of

elastic and plastic strains and a definition of yield point or

4 / YIELD CURVES AND SURFACES ( IN STRESS SPACE ) Suppose now that a

number of closed - end thin - walled ... then is appropriate , with separation of

elastic and plastic strains and a definition of yield point or

**yield strength**as in Fig .Page 286

9a ) will alter both the shape and the size of the yield surface in general . It is well

known , for example , that the

extension is appreciably lower than the

12 .

9a ) will alter both the shape and the size of the yield surface in general . It is well

known , for example , that the

**yield stress**in compression following plasticextension is appreciably lower than the

**yield stress**established in tension ( Fig .12 .

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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