Details

Autor(en) / Beteiligte

• Kružík, Martin
• Melching, David
• Stefanelli, Ulisse

Titel

Quasistatic evolution for dislocation-free finite plasticity

Ist Teil von

• ESAIM. Control, optimisation and calculus of variations, 2020, Vol.26, p.123

Ort / Verlag

Les Ulis: EDP Sciences

Erscheinungsjahr

2020

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of dislocation-free plasticity and entails that the plastic strain is the gradient of a plastic deformation map. The total deformation can be then seen as the composition of a plastic and an elastic deformation. This opens the way to an existence theory for the quasistatic evolution problem featuring both Lagrangian and Eulerian variables. A remarkable trait of the result is that it does not require second-order gradients.