Mathematical and numerical modeling of plate dynamics with rotational inertia

DOI10.1515/jnma-2016-1020zbMath1384.74024OpenAlexW2586736388MaRDI QIDQ1745608

Giuseppe Geymonat, Marina Vidrascu, Francesco Bonaldi, Françoise Krasucki

Publication date: 18 April 2018

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-01413037/file/article_JNMs.pdf

zbMATH Keywords

platesKirchhoff-Loverotational inertiaFreeFEM++HCT finite elementsNewmark

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs in connection with mechanics of deformable solids (35Q74)

Uses Software

• FreeFem++

Cites Work

• An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
• Construction d'un modèle d'évolution de plaques avec terme d'inerte de rotation
• A hybrid high-order locking-free method for linear elasticity on general meshes
• A study of three-node triangular plate bending elements
• Error Estimates for Finite Element Methods for Second Order Hyperbolic Equations
• Parametrization of finite rotations in computational dynamics: a review
• Mixed Finite Element Methods and Applications
• New development in freefem++
• An asymptotic plate model for magneto-electro-thermo-elastic sensors and actuators
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• A minimal stabilisation procedure for mixed finite element methods
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Mathematical and numerical modeling of plate dynamics with rotational inertia