2014-Sustainable Industrial Processing Summit
SIPS 2014 Volume 7: Energy Production, Environmental & Multiscale
| Editors: | Kongoli F |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2014 |
| Pages: | 528 pages |
| ISBN: | 978-1-987820-09-6 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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On consistency of constitutive prescriptions in statistical and continuum mechanics
Paolo Podio-Guidugli1;1UNIVERSITY OF ROME TORVERGATA, Roma, Italy;
Type of Paper: Regular
Id Paper: 364
Topic: 18
Abstract:
When running a standard Molecular Dynamics simulation, information about the constitutive nature of the material under study is embodied in the chosen intermolecular potential; in D(issipative)MD, this information is complemented by choosing, essentially by fiat, a mechanism of microscopic friction. On the other hand, in continuum mechanics, viscoelastic response is described by well-known prescriptions for the functional dependence of stress on deformation history. To put it simply, the consistency issue I address has to do with deciding when the same material is described by two sets of constitutive prescriptions, the one formulated in the fashion of statistical mechanics the other of continuum mechanics.