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An attempt is made to bring into harmony two of the paradigms commonly usedin the theory of continuous distributions of defects. It is shown that thecommon differential geometric apparatus is provided neatly by the theory ofG-structures. In the case of a structural model, based on putative experimentalobservations at the microscopic level, a G-structure can be shown to emergefrom the group of linear transformations that preserve a tensorial quantity.For the phenomenological (macroscopic) constitutive model, the G-structurearises from the notion of material isomorphism and the underlying localsymmetry group of the constitutive law. A comparative example is presented inthe framework of certain smectic liquid crystals.

Reflections on the structural and constitutive approaches to the theory of defects