How should the implicit sum $C_{ijkl}u_{i,j}u_{k,l}$ be interpreted?
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Explanation:
The stress, strain, and elastic moduli tensors have the following symmetry properties σ ij = σ ji, ε ij = ε ji, c ijkl= c jikl = c ijlk= c klij. (1.4d).
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The function y = x2 + 2x + 1 that we found by solving for y is called the implicit function of the relation y − 1 = x2 + 2x. In general, any function we get by taking the relation f(x, y) = g(x, y) and solving for y is called an implicit function for that relation.
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