Some mathematical aspects of models of strain-gradient plasticity

Abstract: Strain-gradient plasticity has become well established as an approach to modelling seize-dependent phenomena at the meso- and microscales. This presentation is concerned with a class of models of strain-gradient plasticity, which mathematically are formulated as variational inequalities. Conditions for well-posedness are reviewed, following which attention is given to some aspects of what is referred to as the dissipative model. Though in a sense a natural extension of conventional plasticity, this model possesses some distinctive features, most particularly that the plastic flow relations take a global form. The consequences of this feature are discussed, for example, in relation to determining the stage at which incipient plastic behaviour takes place. The presentation also treats issues relevant to approximations, such as the convergence of predictor-corrector algorithms, and approximations under conditions of minimal regularity.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor).