Isoparametric Spline Finite Strip Method for In-plane Stress Analysis (No. R848)

Abstract

The finite strip method has proved to be an accurate and efficient tool for the analysis of structures having regular cross-section and mechanical proprieties along the longitudinal axis. The spline finite strip method has furthermore proved to be a more flexible tool for the analysis of structures with general support conditions and, utilising the isoparametric mapping, structures with a geometry varying along the longitudinal direction, such as curved slab bridges. In this report, the isoparametric spline finite strip method is applied to the analysis of plate containing cut-outs of different shape and subjected to in-plane stresses. The mapping technique and the theory for the general in-plane stress condition are outlined, as is a novel method for assembling the strips in order to model the particular case of a cut-out. To prove the reliability of the isoparametric spline finite strip method, three different shapes perforation in rectangular plates in traction are analysed. The shapes of the cut-outs presented are a circular, a rectangular and a key shaped hole. The result are compared with exact solutions and finite element analyses.