On Volumetric Growth and Material Frames

Reuven Segev, Guy Rodnay

Research output: Contribution to journalArticlepeer-review


A theory of volumetric growth on differentiable manifolds is presented. A balance law for an extensive property, that includes a source term, induces material structure and bodies. Transformation rules for the basic variables that represent growth, under a change of frame in the physical event space, are examined and the material frame, where the volumetric growth has a simple canonical form, is defined. Finally, we give a frame-invariant variational version of volumetric growth.
Original languageEnglish GB
Pages (from-to)191-203
Number of pages13
JournalExtracta mathematicae
Issue number2
StatePublished - 1999


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