- #1

antonni

- 14

- 0

Hello good people,

please refer to this:

(notice the mistake in

Now, I am trying to derive

I see it like this:

1) Group the strain tensor elements in each direction:

2) Now, simply project the

I do it the like this:

component of

component of

As you can see I do not get the

Where is my mistake?

Thank you very much

Anton

please refer to this:

(notice the mistake in

*9.31*: cos(psi) switches places with cos(phi)sin(psi) to the best of my understanding)Now, I am trying to derive

*9.30*and for this, according to the book, we solve*9.32*. The problem is I can not understand*9.32*, the meaning of it.I see it like this:

1) Group the strain tensor elements in each direction:

**ST1**=(s11+s21+s31)***e1 ; ST2**=(s22+s12+s32)***e2**;**ST3**=(s33+s13+s23)***e3**

then the "s " stands for epsilon (strain) and the numbers are the strain element of the tensor.**e1,2,3**are unit vectors in**S1,2,3**directions respectively.2) Now, simply project the

**ST1,2,3**on the unit vector in the phi-psi direction, the**h**of*9.31*. That way you get the magnitude of the strain in the phi-psi direction, which is what we want and what should be*9.30*according to the book. (of course s21=s12, s13=s31 & s23=s32)I do it the like this:

component of

**ST1**on**h**= (**h**dot**ST1**) / |**h**| ; similarly for**ST2**and**ST3**.component of

**ST1**on**h**= (**h**dot**ST1**) / |**h**| = h1*(s11+s21+s31) ; similarly for**ST2**and**ST3**.As you can see I do not get the

*9.30*.Where is my mistake?

Thank you very much

Anton