No Cover Image

Journal article 395 views 93 downloads

A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates

Yan Shang, Chen-Feng Li, Ming-Jue Zhou, Chenfeng Li Orcid Logo

Engineering Analysis with Boundary Elements, Volume: 106, Pages: 452 - 461

Swansea University Author: Chenfeng Li Orcid Logo

Abstract

In this work, a simple but robust 4-node displacement-based Trefftz plate element is proposed for efficiently analysis of orthotropic plate structures. This is achieved via two steps. First, the element's deflection and rotation fields are directly formulated at the base of the Trefftz function...

Full description

Published in: Engineering Analysis with Boundary Elements
ISSN: 0955-7997
Published: 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa50903
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract: In this work, a simple but robust 4-node displacement-based Trefftz plate element is proposed for efficiently analysis of orthotropic plate structures. This is achieved via two steps. First, the element's deflection and rotation fields are directly formulated at the base of the Trefftz functions of the orthotropic Mindlin–Reissner plate. Second, to ensure the convergence property and further enhance the element performance, the generalized conforming theory is employed to satisfy the requirement for interelement compatibility in weak sense. The resulting displacement-based element belongs to the nonconforming models on coarse meshes and gradually converges into a conforming one with the mesh refinement. Numerical benchmarks reveal that the new element can produce high precision results for both displacement and stress resultant. Moreover, it is free of shear locking and has good tolerances to mesh distortions.
Keywords: Displacement-based Trefftz element, Mindlin–Reissner plate, Generalized conforming, Locking free, Mesh distortion
College: College of Engineering
Start Page: 452
End Page: 461