Introduction to Mechanics of Deformable Solids |
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Page 60
10 ) , with o replaced by T , e replaced by y , and E replaced by G . Models for
time - dependent behavior include all those of Chap . 3 : Linear - viscous Linear -
viscoelastic Maxwell Kelvin or Voigt Four - element Nonlinear - viscous element
in ...
10 ) , with o replaced by T , e replaced by y , and E replaced by G . Models for
time - dependent behavior include all those of Chap . 3 : Linear - viscous Linear -
viscoelastic Maxwell Kelvin or Voigt Four - element Nonlinear - viscous element
in ...
Page 129
3 : 18 ) takes over as the appropriate form , with Mc replacing M . Linear - viscous
response Now let us turn our attention to an ... 3 : 19 ) so that the elastic modulus
E is repliced by the viscous coefficient C and ee is replaced by de " / dt .
3 : 18 ) takes over as the appropriate form , with Mc replacing M . Linear - viscous
response Now let us turn our attention to an ... 3 : 19 ) so that the elastic modulus
E is repliced by the viscous coefficient C and ee is replaced by de " / dt .
Page 270
2 : 2 , 15 ) modified by replacing the reciprocal of Young ' s modulus E with a
scalar function of the invariants J1 , J2 , J3 labeled as Fe ( J 1 , J 2 , J3 ) . ... 3 : 2 )
Poisson ' s ratio v also may be replaced by a function of the stress invariants .
2 : 2 , 15 ) modified by replacing the reciprocal of Young ' s modulus E with a
scalar function of the invariants J1 , J2 , J3 labeled as Fe ( J 1 , J 2 , J3 ) . ... 3 : 2 )
Poisson ' s ratio v also may be replaced by a function of the stress invariants .
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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