2019-Sustainable Industrial Processing Summit
SIPS2019 Volume 7: Schrefler Intl. Symp. / Geomechanics and Applications for Sustainable Development
| Editors: | F. Kongoli, E. Aifantis, A. Chan, D. Gawin, N. Khalil, L. Laloui, M. Pastor, F. Pesavento, L. Sanavia |
| Publisher: | Flogen Star OUTREACH |
| Publication date: | 20 December 2019 |
| Pages: | 190 pages |
| ISBN: | 978-1-989820-06-3 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Fighting Singularities in Solids and Fluids
Elias Aifantis1;1ARISTOTLE UNIVERSITY OF THESSALONIKI, Thessaloniki, Greece;
Type of Paper: Plenary
Id Paper: 447
Topic: 51
Abstract:
One of the still persisting problems in both solid and fluids mechanics is to deal with singularities in the stress/strain fields or the flow field. An associated problem is the mesh-size dependence and non-convergence in finite element calculations in the material softening regime. A simple regularization method can be used to overcome both difficulties. This is shown for both elastic and plastic solids, as well as for both Newtonian and complex fluids.
Keywords:
Natural hazards;References:
[1] E.C. Aifantis, Internal length gradient (ILG) material mechanics across scales and disciplines, Adv. Appl. Mech. 49, pp. 1-110, 2016.[2] E.C. Aifantis, Weak nonlocal extension of classical material models, Frontiers in Physics, 2019 (in press).