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Tensor  the indicial notation, beginners problem 
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#1
Sep1908, 08:05 AM

P: 148

1. The problem statement and attempt at solution
Given the matrix S_ij and a_i evaluate a),b),c),d) and e) For a) I think i use Einsteins convention. b) I just first sum on i, and then on j giving me 9 terms. The answer I get is 24. d) can i change m with i since they are both dummy indexes? e) the same problem as d I guess, is this allowed? I'm trying to learn continuum mechanics by my self, and this is the first step. Thank you. 


#2
Sep1908, 08:32 AM

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P: 39,564

I'm trying to learn continuum mechanics by my self, and this is the first step. Thank you.[/QUOTE] 


#3
Sep1908, 08:43 AM

P: 148

I didn't mean that e) was the same problem as d), I just wondered if I could change the indices from m to i and so on... You've answered that though, thank you very much!



#4
Sep2008, 03:39 AM

P: 148

Tensor  the indicial notation, beginners problem
I'll post some more questions here so I don't spam the forums, hope that's alright.
1. The problem statement and attempt at solution: As I see it E_kk is a first order tensor and E_ij is a second order one. How do I go from E_ij to E_kk? Thank you. 


#5
Jul2809, 08:44 PM

P: 3

Try to find out what kronecker delta is! Then you will get the answer.



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