## Newton / Hooke, Fick / Fourier, and Coulomb / Maxwell revisited [K]

**Elias
Aifantis**^{1};

^{1}ARISTOTLE UNIVERSITY OF THESSALONIKI, Thessaloniki, Greece;

**Type of Paper:** Plenary

**Id Paper:** 374

**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.

## Keywords:

gradient elasticity ; modelling ;

## 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).## Cite this article as:

Aifantis E. (2022).
Newton / Hooke, Fick / Fourier, and Coulomb / Maxwell revisited [K].
In F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis.
(Eds.), *Sustainable Industrial Processing Summit
SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics*
(pp. 222-223).
Montreal, Canada: FLOGEN Star Outreach