Professor Harm Askes, Department of Civil and Structural Engineering, University of Sheffield

Gradient elasticity - concepts, micro-mechanics and finite element implementations
When Oct 26, 2015
from 02:00 PM to 03:00 PM
Where LR8, IEB Building, Engineering Science
Contact Name
Contact Phone 01865-273925
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In this seminar, the use of gradient elasticity in mechanical applications will be discussed. In gradient elasticity, higher-order spatial derivatives of relevant state variables are added to the governing equations. First, some fundamentals about gradient enrichment will be discussed, such as motivations for gradient enrichment, particular formats of gradient enrichment (including the widely used formulations of Mindlin, Eringen and Aifantis) and the infamous "sign paradox". Next, micro-mechanical motivations for the inclusion of higher-order gradient will be discussed; these will help in identifying and quantifying the additional constitutive constants. Finally, implementation of gradient elasticity theories will be discussed with a focus on using so-called C0 finite elements, so that standard finite element software can be used.