Solution Representations for Trefftz-Type Plate Bending Elements

Research output: Contribution to book or proceedingChapter

Abstract

This chapter presents a method for deriving a family of Trefftz-type plate bending elements with thickness change and/or warping. Many plate-bending elements have been developed so far. Among those elements are the popular plate elements of Auricchio and Taylor, Bathe and Dvorkin, and Hughes and Tezduyar. In this chapter, one class of plate elements is discussed for which functions are used that satisfy the governing differential equations a priori. The elements that are considered include Trefftz-type finite elements. With the complex function representations, a systematic derivation of the assumed (Trefftz) stresses and strains for a mixed variational formulation is possible.
Original languageAmerican English
Title of host publicationComputational Fluid and Solid Mechanics 2003: Proceedings of the MIT Conference on Computational Fluid and Solid Mechanics
DOIs
StatePublished - Jun 17 2003

Disciplines

  • Mathematics

Keywords

  • Solution Representations
  • Trefftz-type Plate Bending Elements

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