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Re: [Question #266331]: How to intepret strain tensor and its deviator

 

Question #266331 on Yade changed:
https://answers.launchpad.net/yade/+question/266331

Shenyang Cai posted a new comment:
Hi Bruno,

Just want to make sure that I understand you correctly.

I don't know what "s_ij * s_ij" stands for. But since deviator is the second invariant of the strain tensor(I_2), it can be expressed as 
I_2 = 1/2 * {trace(e^2) - [trace(e)]^2} 
       = e_xy * e_xy + e_xz *e_xz + e_yz * e_yz - e_xx * e_yy - e_yy * e_zz - e_xx * e_zz 
where "e" is the strain tensor

Magnitude is the L_2,1 norm of the strain tensor, which is the sum of
Euclidean norm of columns in that tensor.

Is that right?

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