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Notes on Smooth and Singular Volumetric Growth
- Publication Year :
- 2023
-
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.<br />Comment: 5 figures
- Subjects :
- Mathematical Physics
70A05, 74A05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2311.06902
- Document Type :
- Working Paper