Abstract
Continuum concepts and field values are related to local (scale-dependent) spacetime atomistic averages. Spatial averaging is effected by both weighting function and cellular localisation procedures, and resulting forms of linear momentum balance are compared. The former yields a local balance directly, with several candidate interaction stress fields. The latter results in a global balance involving a traction field expressible in terms of an interaction stress tensor field. In both approaches the Cauchy stress incorporates distinct interaction and thermokinetic contributions. Inter alia are addressed physically-distinguished choices of weighting function; the scale-dependence of the boundary of a body, its motion and material points thereof; physical interpretations of various candidate interaction stress tensors; temporal averaging and material systems whose content changes with time; and the possible relevance of the latter to investigating a molecular context for configurational forces.
Original language | English |
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Pages (from-to) | 33-61 |
Number of pages | 29 |
Journal | Journal of Elasticity |
Volume | 100 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 17 Apr 2010 |
Keywords
- localisation procedures
- interaction stress
- stress
- weighting function
- speacetime avergaes
- scale-dependent interpretation