Abstract
The Flex Representation Method (FRM) leverages unique computational advantages of splines to address limitations in the process of building CAE simulation models from CAD geometric models. Central to the approach is the envelope CAD domain that encapsulates a CAD model. An envelope CAD domain can be of arbitrary topological and geometric complexity. Envelope domains are constructed from spline representations, like U-splines, that are analysis-suitable. The envelope CAD domain can be used to approximate none, some, or all of the features in a CAD model. This yields additional simulation modeling options that simplify the model-building process while leveraging the properties of splines to control the accuracy and robustness of computed solutions. Modern integration techniques are adapted to envelope domains to maintain accurate solutions regardless of the CAD envelope chosen. The potential of the method is illustrated through several carefully selected benchmark problems.
Degree
PhD
Rights
https://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Whetten, Christopher David, "The Flex Representation Method: Versatile Modeling for Isogeometric Analysis" (2022). Theses and Dissertations. 9795.
https://scholarsarchive.byu.edu/etd/9795
Date Submitted
2022-12-13
Document Type
Dissertation
Handle
http://hdl.lib.byu.edu/1877/etd12633
Keywords
Isogeometric Analysis(IGA), Finite Element Analysis(FEA), Cut Isogeometric Methods, Unfitted Finite Element Methods, Numerical Integration, U-splines
Language
english