Question: Using relation (1.3.5), show that the compatibility relations (2.6.1) with l = k can be expressed by n ij = ikl jmp e

Using relation (1.3.5), show that the compatibility relations (2.6.1) with l = k can be expressed by nij = εiklεjmpelp,km = 0, which can also be written in vector notation as ∇ × e× ∇ = 0.

Equation 1.3.5

EijkEpqr i ig Sir jp Sjg Sjr Skp Skg Skr

Equation 2.6.1

eijkl + eklijeik, jl - ejl,ik = 0

Eijk Epqr i ig Sir jp Sjg Sjr Skp Skg Skr

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