A hybrid collocation-Galerkin approach for the analysis of solids

Chen, Lin (Corresponding author); Dornisch, W.; Klinkel, Sven

Aachen : Publikationsserver der RWTH Aachen University (2015)
Contribution to a conference proceedings

In: Conference Proceedings of the YIC GACM 2015 / ed.: Stefanie Elgeti ; Jaan-Willem Simon
Page(s)/Article-Nr.: 4 S.

Abstract

The paper is concerned with a boundary-oriented model to solve the motion problem of elastic solids.It combines the merits of the so-called scaled boundary finite-element method (SB-FEM) and the isogemetric col-location method. In the analysis, the boundary scaling technique of SB-FEM is adopted. It leads to a formulation,where only the boundary of a structure is discretized. The domain inside the element is described by a radial scalingparameter. Applying the weak form in circumferential direction the governing partial differential equations of elas-ticity are transformed to an ordinary differential equation (ODE), where the unknown displacements are a functionof the radial scaling parameter. In the present approach an approximation in scaling direction is introduced. Tosolve it, a NURBS based collocation scheme is employed. The proposed approach is validated by comparison withthe analytical solutions available in the literature.