Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
HYBRID-TREFFTZ FINITE ELEMENT LINEAR ISOTROPIC ANALYSIS WITH NON-ORTHOGONAL TRIAL FUNCTIONS
Submission Author:
Felipe Businaro , SP , Brazil
Co-Authors:
Felipe Businaro, Flávio Luiz de Silva Bussamra
Presenter: Felipe Businaro
doi://10.26678/ABCM.COBEM2019.COB2019-1274
Abstract
This paper proposes the use of non-orthogonal trial functions in the analysis of finite element benchmark tests modeled with the Hybrid-Trefftz stress element formulation. The elements are built in the generalized form instead of using the conventional nodal setup, in order to allow an easy –p refinement of the approximation field functions. The formulation chosen for this paper approximates the stresses in the domain and the displacements in the boundary, independently. Since this kind of finite element formulation generates very rich elements with a high number of degrees of freedom, orthogonal functions have been used to interpolate the field approximations in order to produce a high sparsity solving system matrix. However, this paper aims to demonstrate that good results can be attained by deriving a set of trial functions from a homogeneous polynomial harmonic potential. Results from convergence analysis and mesh distortion are shown, while comparing to the more conventional Legendre-Chebyshev orthogonal functions.
Keywords
Hybrid-Trefftz, non-orthogonal, Finite Element Method, linear anisotropic, stress element
