On Convected Rates.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The convected time rate of a general second-order tensor is recognized as a useful concept in continuum mechanics. It is shown that a recursion formula for convected rates may be treated as a first-order differential equation and solved yielding a convection-diffusion theorem. Frame-indifference is discussed. Applications to Rivlin-Ericksen tensors, generalized convection and diffusion, stretching and spin, and convected stress rates are given. Author
- Numerical Mathematics