Rivlin–Ericksen tensor

A Rivlin–Ericksen temporal evolution of the strain rate tensor such that the derivative translates and rotates with the flow field. The first-order Rivlin–Ericksen is given by

where

is the fluid's velocity and
is -th order Rivlin–Ericksen tensor.

Higher-order tensor may be found iteratively by the expression

The derivative chosen for this expression depends on convention. The upper-convected time derivative, lower-convected time derivative, and Jaumann derivative are often used.

References

  • Truesdell, Clifford & Noll, Walter (2004). The Non-Linear Field Theories of Mechanics. Springer. ISBN 978-3-662-10388-3.
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