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Chapter One

Internal Length Gradient (ILG) Material Mechanics Across Scales and Disciplines

E.C. Aifantis*^,^†^,^‡^,^§^,¹ ^* Aristotle University of Thessaloniki, Thessaloniki, Greece^† Michigan Technological University, Houghton, MI, United States^‡ ITMO University, St. Petersburg, Russia^§ BUCEA, Beijing, China¹ Corresponding author: email address: mom@mom.gen.auth.gr

Abstract

A combined theoretical/numerical/experimental program is outlined for extending the internal length gradient (ILG) approach to consider time lags, stochasticity, and multiphysics couplings. Through this extension, it is possible to discuss the interplay between deformation internal lengths (ILs) and ILs induced by thermal, diffusion, or electric field gradients. Size-dependent ...

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