Notes on smooth and singular volumetric growth

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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.

Original languageEnglish
Article number104950
JournalMechanics of Materials
StatePublished - 1 Apr 2024


  • Continuum mechanics
  • Differential manifolds
  • Growing bodies
  • Surface growth
  • Volumetric growth
  • de Rham currents

ASJC Scopus subject areas

  • Instrumentation
  • General Materials Science
  • Mechanics of Materials


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