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We analyze the effect of interphase boundary anisotropy on the dynamics oflamellar eutectic solidification fronts, in the limit that the lamellar spacingvaries slowly along the envelope of the front. In the isotropic case, it isknown that the spacing obeys a diffusion equation, which can be obtainedtheoretically by making two assumptions: (i) the lamellae always grow normal tothe large-scale envelope of the front, and (ii) the Jackson-Hunt law that linkslamellar spacing and front temperature remains locally valid. For anisotropicboundaries, we replace hypothesis (i) by the symmetric pattern approximation,which has recently been found to yield good predictions for lamellar growthdirection in presence of interphase anisotropy. We obtain a generalizedJackson-Hunt law for tilted lamellae, and an evolution equation for theenvelope of the front. The latter contains a propagative term if the initiallamellar array is tilted with respect to the direction of the temperaturegradient. However, the propagation velocity of the propagative wave modes arefound to be small, so that the dynamics of the front can be reasonablydescribed by a diffusion equation with a diffusion coefficient that is modifiedwith respect to the isotropic case.

Spacing Homogenization in Lamellar Eutectic Arrays with Anisotropic Interphase Boundaries