## Introduction to Mechanics of Deformable Solids |

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Page 59

If the shear - stress vs shear - strain curves are

change of scale , the shear strain as computed will be tan y automatically . For

small y there is , as mentioned previously , no important difference between tan y

...

If the shear - stress vs shear - strain curves are

**simple**T versus y curves with achange of scale , the shear strain as computed will be tan y automatically . For

small y there is , as mentioned previously , no important difference between tan y

...

Page 61

1 Model

0 , € E , C , c E = o / E de = de + dep - T , Y G , C . , C . y = 7 / G dy = dye + dy ? dy

dt C , dy i dr . Gu dt Com de o dt = a de Linear Maxwell I do to dt Linear Kelvin o ...

1 Model

**Simple**shear Uniaxial tension All Linear - elastic Plastic Linear - viscous0 , € E , C , c E = o / E de = de + dep - T , Y G , C . , C . y = 7 / G dy = dye + dy ? dy

dt C , dy i dr . Gu dt Com de o dt = a de Linear Maxwell I do to dt Linear Kelvin o ...

Page 76

If interior pressure is plotted against diametral expansion for a ductile time -

independent material , the curve is very much like one for uniaxial tension or

compression or

the same ...

If interior pressure is plotted against diametral expansion for a ductile time -

independent material , the curve is very much like one for uniaxial tension or

compression or

**simple**shear . If , instead , o is plotted against e , the picture hasthe same ...

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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