pq-Adaptive solid finite elements for three-dimensional plates and shells

✍ Scribed by A. Düster; D. Scholz; E. Rank

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 944 KB
• Volume: 197
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/j.cma.2007.07.020

✦ Synopsis

This article presents a pq-adaptive finite element procedure for three-dimensional computation of thin-walled structures like plates and shells. The approach is based on a hexahedral element with high-order shape functions. The polynomial degree of the shape functions in the three spatial directions of the element is adjusted by means of an adaptive procedure. To this end, a hierarchical error indicator is applied to automatically control the polynomial degree q in thickness and p in the in-plane direction of plate-and shell-like structures. The efficiency and reliability of the proposed adaptive method is demonstrated using two numerical examples.