### AIFlow Non-diagonal Fabric Variables

Posted:

**09 Feb 2018, 23:36**Hello,

This question is regarding the a_12, a_23 and a_13 values (Fabric 3-5) in the AIFlow Solver. When needing to rotate, say, a single-maximum fabric not in an x, y, z plane into a single maximum in the x direction, does one input a single maximum fabric in the x direction, but with values in Fabrics 3-5 as well?

For example:

Fabric 1 = Real 0.998 !a2_11

Fabric 2 = Real 0.001 !a2_22

Fabric 3 = Real 0.66 !a2_12

Fabric 4 = Real 0.56 !a2_23

Fabric 5 = Real 0.49 !a2_13

Where the single maximum is hypothetically off the x-axis by 40˚, off the y-axis by 30˚ and off the z-axis by 50˚, thus making the fabric parameters

Fabric 3 = cos(40)*cos(30) = 0.66

Fabric 4 = cos(30)*cos(50) = 0.56

Fabric 5 = cos(40)*cos(50) = 0.49

according to the orientation tensor specified in Watson, 1965 and Woodcock, 1977. Is this a correct assumption for the use of the Fabric variables 3, 4 and 5?

Best,

Kate

This question is regarding the a_12, a_23 and a_13 values (Fabric 3-5) in the AIFlow Solver. When needing to rotate, say, a single-maximum fabric not in an x, y, z plane into a single maximum in the x direction, does one input a single maximum fabric in the x direction, but with values in Fabrics 3-5 as well?

For example:

Fabric 1 = Real 0.998 !a2_11

Fabric 2 = Real 0.001 !a2_22

Fabric 3 = Real 0.66 !a2_12

Fabric 4 = Real 0.56 !a2_23

Fabric 5 = Real 0.49 !a2_13

Where the single maximum is hypothetically off the x-axis by 40˚, off the y-axis by 30˚ and off the z-axis by 50˚, thus making the fabric parameters

Fabric 3 = cos(40)*cos(30) = 0.66

Fabric 4 = cos(30)*cos(50) = 0.56

Fabric 5 = cos(40)*cos(50) = 0.49

according to the orientation tensor specified in Watson, 1965 and Woodcock, 1977. Is this a correct assumption for the use of the Fabric variables 3, 4 and 5?

Best,

Kate