Analysis-suitable unstructured T-splines: Multiple extraordinary points per face

نویسندگان

چکیده

Analysis-suitable T-splines (AST-splines) are a promising candidate to achieve seamless integration between the design and analysis of thin-walled structures in industrial settings. In this work, we generalize AST-splines allow multiple extraordinary points within same face. This generalization drastically increases flexibility build geometries using AST-splines; e.g., much coarser meshes can be generated represent certain geometry. The AST-spline spaces detailed work have $C^1$ inter-element continuity near $C^2$ elsewhere. We mathematically show that with per face linearly independent their polynomial basis functions form non-negative partition unity. numerically lead optimal convergence rates for second- fourth-order linear elliptic problems. To illustrate possible isogeometric framework is already available, B-pillar side outer panel car commercial software Autodesk Fusion360, import control nets into our in-house code AST-splines, B\'ezier extraction information LS-DYNA solve eigenvalue results compared conventional finite elements. Good agreement found, but elements require significantly more degrees freedom reach converged solution than AST-splines.

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ژورنال

عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering

سال: 2022

ISSN: ['0045-7825', '1879-2138']

DOI: https://doi.org/10.1016/j.cma.2021.114494