The present work deals with a stress measure derived from a general atomic force field. Usually, stresses at atomic level are determined through the Clausius virial theorem for a fixed volume containing interacting particles. The present stress is derived on the basis of the first Brillouin zone, or equivalently the Voronoi cell, surrounding the atom. Thus, this is the smallest scale at which the stress measure makes sense. Obviously, the stress is discrete in nature since the Voronoi cells are discrete. In order for the stress to become continuous the finite element formalism is used in terms of interpolation functions from 3D Voronoi elements. The present stress measure is non-local, it is not necessarily symmetric in its indices and incorporates micro-deformations.
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ASME 2006 Multifunctional Nanocomposites International Conference
September 20–22, 2006
Honolulu, Hawaii, USA
Conference Sponsors:
- Nanotechnology Institute
ISBN:
0-7918-4761-6
PROCEEDINGS PAPER
Nano-Scale Stress: From Discrete to Continuum Available to Purchase
Jan Schjo̸dt-Thomsen,
Jan Schjo̸dt-Thomsen
Aalborg University, Aalborg, Denmark
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Ryszard Pyrz
Ryszard Pyrz
Aalborg University, Aalborg, Denmark
Search for other works by this author on:
Jan Schjo̸dt-Thomsen
Aalborg University, Aalborg, Denmark
Ryszard Pyrz
Aalborg University, Aalborg, Denmark
Paper No:
MN2006-17064, pp. 51-56; 6 pages
Published Online:
October 2, 2008
Citation
Schjo̸dt-Thomsen, J, & Pyrz, R. "Nano-Scale Stress: From Discrete to Continuum." Proceedings of the ASME 2006 Multifunctional Nanocomposites International Conference. Multifunctional Nanocomposites. Honolulu, Hawaii, USA. September 20–22, 2006. pp. 51-56. ASME. https://doi.org/10.1115/MN2006-17064
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