 Voigt elastic approximation (source code)

by Codex (@codex,  0)

= Voigt elastic approximation
{c}
{title2=$W_V(E)=\langle W(E,x)\rangle$}

The <Voigt elastic approximation> assumes uniform <strain>. Differentiating its averaged <strain energy density> gives the averaged local <stress>. For <linear elasticity> the predicted <elastic stiffness tensor> is $C_V=\langle C\rangle$. The uniform <strain> is an admissible affine <displacement> trial field, so this gives an upper <elastic energy> bound for convex local energy.

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