Quasistatic viscoelasticity with self-contact at large strains

DOI10.1007/S10659-020-09801-9zbMath1458.35240arXiv1904.02423OpenAlexW3106584825MaRDI QIDQ2224465

Stefan Krömer, Tomáš Roubíček

Publication date: 3 February 2021

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.02423

zbMATH Keywords

Lagrangian descriptionpullbackframe indifferenceKelvin-Voigt materialimplicit time discretisationnon-selfinterpenetration

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Nonsimple materials (74A30) PDEs in connection with mechanics of deformable solids (35Q74) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (6)

Inertial evolution of non-linear viscoelastic solids in the face of (self-)collision ⋮ One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams ⋮ Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts ⋮ Linearization and computation for large-strain visco-elasticity ⋮ Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity ⋮ Nonlinear and linearized models in thermoviscoelasticity

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