Murdoch, A. Ian (2010) On molecular modelling and continuum concepts. Journal of Elasticity, 100 (1-2). pp. 33-61. ISSN 0374-3535Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|Keywords:||localisation procedures , interaction stress, stress, weighting function, speacetime avergaes, scale-dependent interpretation, Probabilities. Mathematical statistics, Mechanics of Materials, Materials Science(all), Mechanical Engineering|
|Subjects:||Science > Mathematics > Probabilities. Mathematical statistics|
|Department:||Faculty of Science > Mathematics and Statistics > Mathematics|
|Depositing user:||Pure Administrator|
|Date Deposited:||07 Mar 2011 23:27|
|Last modified:||10 Feb 2017 03:30|