Bibliography
Journal Article
Quasistatic evolution for dislocation-free finite plasticity
, ,
: ESAIM-Control Optimisation and Calculus of Variations vol.26,
: 8J19AT013, GA MŠk, GF19-29646L, GA ČR
: elastoplasticity, quasistatic evolution
: http://library.utia.cas.cz/separaty/2021/MTR/kruzik-0538035.pdf
: https://www.esaim-cocv.org/articles/cocv/abs/2020/01/cocv190159/cocv190159.html
(eng): 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
: BA
: 10101