León, Manuel deEpstein, MarceloJiménez Morales, Víctor Manuel2024-05-202024-05-2020171081-2865 eISSN 1741-3028https://doi.org/10.1177/1081286517736922https://hdl.handle.net/20.500.14468/12561The concept of material distribution is introduced as describing the geometric material structure of a general nonuniform body. Any smooth constitutive law is shown to give rise to a unique smooth integrable singular distribution. Ultimately, the material distribution and its associated singular foliation result in a rigorous and unique subdivision of the material body into strictly smoothly uniform components. Thus, the constitutive law induces a unique partition of the body into smoothly uniform sub-bodies, laminates, filaments and isolated points.enAtribución-NoComercial-SinDerivadas 4.0 Internacionalinfo:eu-repo/semantics/openAccessMaterial distributionsartículoSingular distributionsmaterial uniformitydifferential geometryLie groupoidsLie algebroidsStefan–Sussman theorem