Quasistatic Viscoelasticity with Self-Contact at Large Strains

Abstrakt

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.

Klíčová slova

• Kelvin-Voigt material
• Frame indifference
• Non-selfinterpenetration
• Implicit time discretisation
• Lagrangian description
• Pullback