Finite element analysis of composite plates with an application to the paper cockling problem

Authors:
Juho Könnö;Rolf Stenberg
Affiliations:
TKK, Helsinki University of Technology, Department of Mathematics and Systems Analysis, PL1100, 02015 TKK, Finland;TKK, Helsinki University of Technology, Department of Mathematics and Systems Analysis, PL1100, 02015 TKK, Finland
Venue:
Finite Elements in Analysis and Design
Year:
2010

Citing 2
Cited 1

Matrix analysis

Matrix analysis
A uniformly accurate finite element method for the Reissner-Mindlin plate

SIAM Journal on Numerical Analysis

A new element for the analysis of composite plates

Finite Elements in Analysis and Design

Quantified Score

Hi-index	0.00

Visualization

Abstract

We present a model for the laminated composite plate problem based on the Reissner-Mindlin model and first-order lamination theory. The weak problem based on this model is solved with the finite element method using stabilized MITC (mixed interpolation of tensorial components) finite elements. Detailed a priori estimates are given for the mixed finite element formulation of the problem. Explicit bounds for the continuity and coercivity constants of the coupling terms are presented, thus refining earlier results. Furthermore, we present an application of the theory to the paper cockling problem and investigate the effect of boundary conditions on the small-scale deformation of the solution numerically.