The structural damping law implies that frictional losses are coupled tightly to elastic stresses rather than to viscous stresses, but the precise molecular mechanical origin of this phenomenon remains unknown ( 1, 2 ).
12.
He demonstrated that Griffith's strain energy release rate provided a useful way to characterize the conditions at a crack tip, a problem that previously had been thought intractable due to the finite straining and nonlinearly elastic stress-strain behavior of rubber.
13.
On the other hand, for any fluid except superfluids, any gradual change in its deformation ( i . e . a non-zero strain rate tensor ) gives rise to elastic stress observed in static deformation; when it is too large to be ignored, the material is said to be viscoelastic.
14.
In particular, the tensor equation "'c? "'} } relating elastic stresses to strains is entirely similar to the equation "'?? & # x307; "'} } relating the viscous stress tensor and the strain rate tensor in flows of dynamical stresses ( related to the " rate " of deformation ).
15.
For more general situations, any of a number of stress measures can be used, and it generally desired ( but not required ) that the elastic stress-strain relation be phrased in terms of a finite strain measure that is work conjugate to the selected stress measure, i . e ., the time integral of the inner product of the stress measure with the rate of the strain measure should be equal to the change in internal energy for any adiabatic process that remains below the elastic limit.
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