| Newton / Hooke, Fick / Fourier, and Coulomb / Maxwell revisited Elias Aifantis1; 1ARISTOTLE UNIVERSITY OF THESSALONIKI, Thessaloniki, Greece; PAPER: 349/ModellingMaterials/Plenary (Oral) SCHEDULED: 14:00/Wed. 30 Nov. 2022/Andaman 1 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). |
