## Introduction to Mechanics of Deformable Solids |

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Page 6

... of Bars in Tension and Compression 111

-- perfectly plastic idealization 115

Kelvin ...

... of Bars in Tension and Compression 111

**Linear**- elastic behavior 114 Elastic-- perfectly plastic idealization 115

**Linear**- work - hardening idealization 117**Linear**Maxwell idealization 118 Nonlinear Maxwell idealization 119**Linear**Kelvin ...

Page 35

The analogy to the

replaces Young's modulus E. If the bar is of length L , its elongation is ò = eL ,

and its rate of elongation is dd / dt = ( de / dt ) L. Substitution of o = P / A gives ds

dt ...

The analogy to the

**linear**- elastic idealization is clear ; de / dt replaces e , and Creplaces Young's modulus E. If the bar is of length L , its elongation is ò = eL ,

and its rate of elongation is dd / dt = ( de / dt ) L. Substitution of o = P / A gives ds

dt ...

Page 197

Correspondingly , a is a constant ( 9.3 : 23 , 18 ) , σα = 2v appa 62 a2 + EEL N (

62 – a ) ( 9.3 : 35 )

solution for the homogeneous isotropic

carries over ...

Correspondingly , a is a constant ( 9.3 : 23 , 18 ) , σα = 2v appa 62 a2 + EEL N (

62 – a ) ( 9.3 : 35 )

**Linear**- viscous and**linear**- viscoelastic materials Thesolution for the homogeneous isotropic

**linear**- elastic thick - walled cylindercarries over ...

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acts actual addition angle answer applied assemblage axes 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 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 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 viscous yield zero