Single Integral Constitutive Equations for Viscoelastic Fluids.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
It is demonstrated how the kernel functions of single integral constitutive equations may be determined from analysis of experiments in time dependent shear-free flows alone. It is assumed that the kernel functions may be factored into a product of a linear viscoelastic function and a finite-strain dependent function. No assumption is needed on the strain-dependent function except that it must be continuous within the attainable invariant space. The experimental data for ever-increasing deformations are not compatible with the assumptions inherent in single integral constitutive equations with factorized kernel functions.
- Numerical Mathematics
- Fluid Mechanics