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arXiv · 2311.06902

Notes on Smooth and Singular Volumetric Growth

Vladimir Goldshtein·Reuven Segev
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Abstract

The material structure of bodies undergoing growth is considered. In the geometric framework of a general differential manifold modeling the physical space and a fiber bundle modeling spacetime, body points may be defined for any extensive property for which a smooth flux field exists, even if the property is not conserved. Singular flux fields are considered using the notion of a de Rham current. Writing a generalized balance law using the boundary of the current corresponding to a singular flux field, surface growth is unified with volumetric growth.

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Vladimir Goldshtein, Reuven Segev. 2023-11-12. Notes on Smooth and Singular Volumetric Growth. https://arxiv.org/abs/2311.06902

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