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Some tensor problems

  1. Feb 19, 2008 #1
    1. The problem statement, all variables and given/known data
    1a) Confirm that grad dot (y x sigma) = y x grad dot sigma + grad*sigma x sigma
    where y is a vector and sigma a second order tensor

    2. Relevant equations
    (a x b)_i = e_ipq a_p b_q
    (A x B)_i = e_ipq A_pl B_ql
    (a x B)_ij = e_ipq a_p B_qj

    (caps are tensors)

    3. The attempt at a solution
    I get:
    e_ipq y_p sigma_qj = e_ipq y_p sigma_qj,j + e_ipq y_p,l sigma_ql

    if it is correct I'm not quite sure how to add the third and second term together
     
  2. jcsd
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