Atomistic viewpoint of the applicability of microcontinuum theories |
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| Affiliation: | 1. Department of Civil and Structural Engineering, Box 12100, Aalto University, FI-00076 Aalto, Finland;2. Heisenberg Research Group, Department of Physics, Darmstadt University of Technology, Hochschulstr. 6, D-64289 Darmstadt, Germany;1. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Échelle, MSME UMR 8208 CNRS, 61, Avenue du Général de Gaulle, 94010 Créteil Cedex, France;2. Faculty of Engineering, International Telematic University Uninettuno, Rome, Italy;3. Université Paris-Est, Laboratoire Modélisation et Simulation Multi Échelle, MSME UMR 8208 CNRS, 5, Boulevard Descartes, 77454 Marne La Vallée, France |
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| Abstract: | Microcontinuum field theories, including Micromorphic theory, Microstructure theory, Micropolar theory, Cosserat theory, nonlocal theory and couple stress theory, are the extensions of the classical field theories for the applications in microscopic space and time scales. They have been expected to overlap atomic model at microscale and encompass classical continuum mechanics at macroscale. This work provides an atomic viewpoint to examine the physical foundations of those well-established microcontinuum theories, and to justify their applicability through lattice dynamics and molecular dynamics. |
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