| Fighting Singularities in Solids and Fluids Elias Aifantis1; 1ARISTOTLE UNIVERSITY OF THESSALONIKI, Thessaloniki, Greece; PAPER: 447/Geomechanics/Plenary (Oral) SCHEDULED: 15:15/Sat. 26 Oct. 2019/Athena (105/Mezz. F) 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. 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). |
