Paper Title:
A Four-Node Hybrid-Trefftz Plane Elasticity Element with Fundamental Analytical Solutions
  Abstract

A new four-node hybrid-Trefftz element is developed for plane elasticity problems. From the Airy stress function, the fundamental analytical solutions of the governing equation are derived as Trefftz functions for the intra-element (Trefftz) displacement field. Together with an independent frame displacement field along the element boundary, the element formulation is then constructed following the modified variational functional. Several numerical examples indicate that the proposed element exhibits good performance.

  Info
Periodical
Chapter
II. Solid Mechanics
Edited by
Fei Hu and Beibei Wang
Pages
194-199
DOI
10.4028/www.scientific.net/AMR.279.194
Citation
K. Y. Wang, "A Four-Node Hybrid-Trefftz Plane Elasticity Element with Fundamental Analytical Solutions", Advanced Materials Research, Vol. 279, pp. 194-199, 2011
Online since
July 2011
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