Continuous/Discontinuous Finite Element Modelling of Kirchhoff Plate Structures in $\mathbb{R}^3$ Using Tangential Differential Calculus
Numerical Analysis
2017-02-15 v2
Abstract
We employ surface differential calculus to derive models for Kirchhoff plates including in-plane membrane deformations. We also extend our formulation to structures of plates. For solving the resulting set of partial differential equations, we employ a finite element method based on elements that are continuous for the displacements and discontinuous for the rotations, using -elements for the discretisation of the plate as well as for the membrane deformations. Key to the formulation of the method is a convenient definition of jumps and averages of forms that are -linear in terms of the element edge normals.
Keywords
Cite
@article{arxiv.1702.03662,
title = {Continuous/Discontinuous Finite Element Modelling of Kirchhoff Plate Structures in $\mathbb{R}^3$ Using Tangential Differential Calculus},
author = {Peter Hansbo and Mats G. Larson},
journal= {arXiv preprint arXiv:1702.03662},
year = {2017}
}