Combine your results from Probs. 460 and 461 to form the two-dimensional strain rate tensor ij

Combine your results from Probs. 4–60 and 4–61 to form the two-dimensional strain rate tensor ε_ij in the xy-plane,

Under what conditions would the x- and y-axes be principal axes?

Data from Problem 4-60

For the velocity field of Prob. 4–58, calculate the linear strain rates in the x- and y-directions.

Data from Problem 4-58

A general equation for a steady, two-dimensional velocity field that is linear in both spatial directions (x and y) is

where U and V and the coefficients are constants. Their dimensions are assumed to be appropriately defined. Calculate the x- and y-components of the acceleration field.

Data from problem 4-61

For the velocity field of Prob. 4–58, calculate the shear strain rate in the xy-plane.

Transcribed Image Text:

Eij Ex Exy Eyx Eyy