A geometrically exact viscoplastic membrane-shell with viscoelastic transverse shear resistance avoiding degeneracy in the thin-shell limit. I: The viscoelastic membrane-plate

DOI10.1007/s00033-004-4065-0zbMath1079.74039OpenAlexW2091993484MaRDI QIDQ1766774

Publication date: 1 March 2005

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-004-4065-0

zbMATH Keywords

energy minimization membrane energy

Mathematics Subject Classification ID

Plates (74K20) Large-strain, rate-dependent theories of plasticity (74C20) Energy minimization in equilibrium problems in solid mechanics (74G65) Membranes (74K15) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (11)

A constrained Cosserat shell model up to order \(O(h^5)\): modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor ⋮ A simple non-linear model for internal friction in modified concrete ⋮ Numerical treatment of a geometrically nonlinear planar Cosserat shell model ⋮ A GEOMETRICALLY EXACT PLANAR COSSERAT SHELL-MODEL WITH MICROSTRUCTURE: EXISTENCE OF MINIMIZERS FOR ZERO COSSERAT COUPLE MODULUS ⋮ 3D-1D reduction for a large deformation viscoelastic model. (Réduction 3D-1D d'un modèle viscoélastique en grandes déformations) ⋮ An isogeometric finite element formulation for boundary and shell viscoelasticity based on a multiplicative surface deformation split ⋮ A geometrically nonlinear Cosserat (micropolar) curvy shell model via gamma convergence ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). I: Derivation in matrix notation ⋮ The isotropic Cosserat shell model including terms up to \(O(h^5)\). II: Existence of minimizers ⋮ A LARGE DEFORMATION, VISCOELASTIC, THIN ROD MODEL: DERIVATION AND ANALYSIS ⋮ A viscoelastic thin rod model for large deformations: Numerical examples

This page was built for publication: A geometrically exact viscoplastic membrane-shell with viscoelastic transverse shear resistance avoiding degeneracy in the thin-shell limit. I: The viscoelastic membrane-plate