Abstract
At equilibrium the tensor strains and rotations produced by the network of dislocations in a semi-coherent interphase interface are equal and opposite to those arising from the coherent terraces. We express this condition using the Frank-Bilby equation. All strains and rotations are partitioned between the two phases in a manner dependent on the relative compliance of the phases. Consequently, the proposition that a parent-martensite habit plane is an invariant plane of the shape transformation is only exact in the absence of rotational distortions. Rotational distortions are inevitably produced by lattice-invariant deformation (slip or twinning), and also, generally, by transformation dislocations (disconnections).
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