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The material structure of bodies undergoing growth is considered. In thegeometric framework of a general differential manifold modeling the physicalspace and a fiber bundle modeling spacetime, body points may be defined for anyextensive property for which a smooth flux field exists, even if the propertyis not conserved. Singular flux fields are considered using the notion of a deRham current. Writing a generalized balance law using the boundary of thecurrent corresponding to a singular flux field, surface growth is unified withvolumetric growth.

Notes on Smooth and Singular Volumetric Growth