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Computer Science Distinguished Seminar

Friday, November 22, 2019

11:00 am - 12:00 pm

A Practical Unstructured Spline Modeling Platform for Isogeometric Analysis Applications


Dr. Yongjie Jessica Zhang, Carnegie Mellon University


As a new advancement of traditional finite element method, isogeometric analysis (IGA) adopts the same set of basis functions to represent both the geometry and the solution space, integrating design with analysis seamlessly. In this talk, I will present a practical unstructured spline modeling platform that allows IGA to be incorporated into existing commercial software such as Abaqus and LS-DYNA, heading one step further to bridge the gap between design and analysis. The platform includes all the necessary modules of the design-through-analysis pipeline: pre-processing, surface and volumetric spline construction, analysis and post-processing. Taking IGES files from commercial computer aided design packages, Rhino specific files or mesh data, the platform provides several control mesh generation techniques, such as converting any unstructured quadrilateral/hexahedral meshes to T-meshes, frame field based quadrilateral meshing, and polycube method. Truncated T-splines, hierarchical B-splines, blended B-spline and hybrid nonuniform subdivision approaches are developed, supporting efficient local refinement and sharp feature preservation. To ensure analysis suitability, partition of unity, linear independence and optimal convergence rate of these basis functions are studied in our research. IGA has very broad engineering applications like the finite element method, and specific application requirements always bring us new research problems and drive the future research directions. At the end of this talk, I will present several practical application problems to demonstrate the capability of our software platform. In addition to mechanics characterization for Navy, NAVAIR and Honda applications, in recent years we also developed novel image registration techniques using truncated hierarchical B-splines, an IGA solver to simulate material transport in complex neuron trees, and a new SimuLearn system to combine finite element method with machine learning for 4D printing.


All are welcome to attend. This seminar counts towards the COSC PhD seminar requirement.

232 Philip Guthrie Hoffman Hall
Department of Computer Science