Spatial and Material Forces in Nonlinear Continuum Mechanics by Paul Steinmann

Author:Paul Steinmann
Language: eng
Format: epub
ISBN: 9783030890704
Publisher: Springer International Publishing

(7.22)

7.1.5 Balance Tetragon

The statement of local intrinsic mass conservation at regular points in the domain, at regular points on the boundary and at regular points at singular surfaces may be expressed in four different but fully equivalent versions, see the arrangement in the corresponding tetragons in Table 7.1. Here, dynamic versions of the intrinsic mass fluxes have been introduced as and , respectively, whereby the subscripts and indicate that the corresponding intrinsic mass flux is consistent with either the material or the spatial time derivative or , respectively, of the mass density.

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