On a hemi-variational formulation for a 2D elasto-plastic-damage strain gradient solid with granular microstructure

<abstract><p>We report a continuum theory for 2D strain gradient materials accounting class of dissipation phenomena. The description is constructed by means (reversible) placement function and (irreversible) damage plastic functions. Besides, expressions elastic energies have been assumed as well the postulation hemi-variational principle. No flow rules deformation also compatible, that it can be derived function. Strain Partial Differential Equations (PDEs), boundary conditions (BCs) Karush-Kuhn-Tucker (KKT) type are hemi variational PDEs BCs govern evolution descriptor KKT variables. Numerical experiments investigated homogeneous cases do not need use Finite Element simulations performed to show applicability model. In particular, induced anisotropy response has coupling between plasticity shown.</p></abstract>