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/

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

Included in

Engineering Commons

Share

COinS