Large deformations, constitutive laws, and material instabilities

At mesoscales, local deformations and rearrangements induce specific mechanical behaviors, associated with a distribution of dynamics, often slow, which give rise to complex responses, sometimes particularly original. Their coupling with large deformations can also generate singular effects. These different nonlinearities lead to a wide variety of instabilities, in which material behaviors and geometric effects are intimately intertwined. Their description within the framework of continuum mechanics is essential to understand, measure, model, and predict these complex responses.

Examples**

• morphogenesis and cutting MC
• fracture (initiation)
• adhesion EB
• friction and local DIC AC
• dynamics and plasticity of semicrystalline materials FL