The elasto-plastic exquisite corpse: A Suquet legacy

Pierre Marie Suquet's pioneering work on plasticity paved the way for the mathematical theory of plasticity as we know it today. In this contribution we propose to review the most recent advances on that front and to illustrate how those impact classical problems of quasi-static elasto-plastic evolutions. Most notably, we exhibit new flow rules and derive conditions that prohibit the onset of plastic slips. From these, we obtain new uniqueness results for such evolutions.