2022-Sustainable Industrial Processing Summit
SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics
| Editors: | F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis. |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2022 |
| Pages: | 235 pages |
| ISBN: | 978-1-989820-64-3(CD) |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Newton / Hooke, Fick / Fourier, and Coulomb / Maxwell revisited
Elias Aifantis1;1ARISTOTLE UNIVERSITY OF THESSALONIKI, Thessaloniki, Greece;
Type of Paper: Plenary
Id Paper: 349
Topic: 71
Abstract:
The talk ventures to describe a high-risk proposal to extend classical laws of mechanics and physics by enhancing them with a Laplacian term accounting for nonlocality and underlying heterogeneity effects. The approach is motivated by a robust gradient model of the classical theory of elasticity which in the last two decades has been shown very useful in eliminating undesirable singularities and interpreting size effects. Implications to a variety of unsettled questions across scales and disciplines are outlined.
References:
E.C. Aifantis, Internal length gradient (ILG) material mechanics across scales & disciplines, Adv. Appl. Mech. 49, 1-110 (2016).E.C. Aifantis, Gradient extension of classical material models: From nuclear & condensed matter scales to earth & cosmological scales, In: E. Ghavanloo, S.A. Fazelzadeh, F. Marotti de Sciarra (eds), Size-Dependent Continuum Mechanics Approaches. Springer Tracts in Mechanical Engineering, Springer, pp. 417-452 (2021).