Publication details

Journal Article

Quasistatic viscoelasticity with self-contact at large strains

Krömer Stefan, Roubíček Tomáš

: Journal of Elasticity vol.142, 2 (2020), p. 433-445

: GF19-29646L, GA ČR, GA17-04301S, GA ČR, GA19-04956S, GA ČR

: Kelvin-Voigt material, partial differential equations, frame indifference

: 10.1007/s10659-020-09801-9

: http://library.utia.cas.cz/separaty/2020/MTR/kromer-0536362.pdf

: https://link.springer.com/article/10.1007/s10659-020-09801-9

(eng): The frame-indifferent viscoelasticity in Kelvin-Voigt rheology at large strains is formulated in the reference configuration (i.e., using the Lagrangian approach) considering also the possible self-contact in the actual deformed configuration. Using the concept of 2nd-grade nonsimple materials, existence of certain weak solutions which are a.e. injective is shown by converging an approximate solution obtained by the implicit time discretisation.

: BA

: 10102