Shape optimization directly from CAD: an isogeometric boundary element approach

Lian, Haojie ORCID: https://orcid.org/0000-0002-1706-0216 2015. Shape optimization directly from CAD: an isogeometric boundary element approach. PhD Thesis, Cardiff University. Item availability restricted.

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Abstract

The present thesis addresses shape sensitivity analysis and optimization in linear elasticity with the isogeometric boundary element method (IGABEM), where the basis functions used for constructing geometric models in computer-aided design (CAD) are also employed to discretize the boundary integral equation (BIE) for structural analysis, and to discretize the material differentiation form of the BIE for shape sensitivity analysis. To guarantee water-tight and locally-refined geometries, we use non-uniform rational B-splines (NURBS) and T-splines for two-dimensional and three dimensional problems, respectively. In addition, we take advantage of the regularized form of BIE instead of the singular form, to bypass the difficulties caused by the evaluation of strongly singular integrals and jump terms. The main advantages of the present work arise from the ability of the IGABEM to seamlessly integrate CAD and numerical analysis, since they share the same boundary representation of geometric models. Therefore, throughout the whole shape optimization, it does not need a costly meshing/remeshing procedure. Moreover, the control points can be naturally chosen as the design variables, and the optimal solution can be directly returned to the CAD system without any smoothing procedure.

Item Type:	Thesis (PhD)
Date Type:	Completion
Status:	Unpublished
Schools:	Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords:	Shape Optimization; Isogeometric Analysis; Boundary Element Methods; NURBS; T-splines; Sensitivity Analysis
Date of First Compliant Deposit:	30 March 2016
Last Modified:	28 Oct 2022 08:28
URI:	https://orca.cardiff.ac.uk/id/eprint/70928

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