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Bibliography

Journal Article

Quasistatic evolution for dislocation-free finite plasticity

Kružík Martin, Melching D., Stefanelli U.

: ESAIM-Control Optimisation and Calculus of Variations vol.26,

: 8J19AT013, GA MŠk, GF19-29646L, GA ČR

: elastoplasticity, quasistatic evolution

: 10.1051/cocv/2020031

: 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