please, can anyone explain to me where the 1/2 is coming from? i understand it has anything to do with linearization, but i can't find a proper explanation anywhere :( thx in advance!
If I remember correctly (not 100% sure), the number 1/2 is artificially added in the definition of the GL strain tensor (and analogue to that, Euler strain tensor), simply to have better mathematical behaviour in calculations. It's a normalisation factor, in other words. The reason linear analysis is always mentioned with that 1/2 is that it makes most sense in linear strain (small deformations) is to compensate for gamma (angle deformation) being equal to 2*epsilon on the same position in the tensor. I'm not an expert on this, so don't take it as simply true, but rather to help you find the answer in proper literature.
I will write the definition of the book here: the factor 1/2 being a normalization factor (whose significance is explained in a more general context in Section 2.2.7). Clearly, the material is unstrained at X if and only if E = 0 at X.
it's not correcte about the matrix F, so all the diagonal elements we add 1, so the diagonal is: 1+dx/dX , 1+dy/dY , 1+dz/dZ , an other way to exmailn that , The real F matrix of deformation is : F = I+Your matrix
![THE TOYS x NONT TANONT - ดอกไม้ที่รอฝน (spring) [Official MV]](http://i.ytimg.com/vi/pPa1d5cC8M4/mqdefault.jpg)
hi, can you please tell what software and configuration you are using for this video?
please, can anyone explain to me where the 1/2 is coming from? i understand it has anything to do with linearization, but i can't find a proper explanation anywhere :(
thx in advance!
If I remember correctly (not 100% sure), the number 1/2 is artificially added in the definition of the GL strain tensor (and analogue to that, Euler strain tensor), simply to have better mathematical behaviour in calculations. It's a normalisation factor, in other words. The reason linear analysis is always mentioned with that 1/2 is that it makes most sense in linear strain (small deformations) is to compensate for gamma (angle deformation) being equal to 2*epsilon on the same position in the tensor. I'm not an expert on this, so don't take it as simply true, but rather to help you find the answer in proper literature.
I will write the definition of the book here:
the factor 1/2 being a normalization factor (whose significance is explained in a
more general context in Section 2.2.7). Clearly, the material is unstrained at X if
and only if E = 0 at X.
Good
3
it's not correcte about the matrix F, so all the diagonal elements we add 1, so the diagonal is: 1+dx/dX , 1+dy/dY , 1+dz/dZ , an other way to exmailn that , The real F matrix of deformation is : F = I+Your matrix