Isogeometric analysis for trimmed CAD surfaces using multi-sided toric surface patches

Indexed by:Journal Papers

Date of Publication:2021-01-10

Journal:COMPUTER AIDED GEOMETRIC DESIGN

Volume:79

ISSN No.:0167-8396

Key Words:Toric surface patches; Isogeometric analysis; Trimmed CAD geometries; NURBS spline finite-element method; Trimmed spline surfaces

Abstract:We propose a new isogeometric method using Toric surface patches for trimmed CAD planar surfaces. This method converts each trimmed spline element into a Toric surface patch with conforming boundary representation and converts each non-trimmed spline element into a Bezier element. Because the Toric surface patches are a multi-sided generalization of classical Bezier surface patches, all trimmed and non-trimmed elements of a trimmed CAD surface have a unified geometric representation using Toric surface patches. Toric surface patches share the advantages of isogeometric continuum elements in that they can exactly model the geometry and can be easily implemented in standard finite-element code architectures. Several numerical examples are used to demonstrate the reliability of the proposed method. (C) 2020 Elsevier B.V. All rights reserved.

Date of Publication:2021-01-10