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.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:637163 |
| Date | January 2015 |
| Creators | Lian, Haojie |
| Publisher | Cardiff University |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://orca.cf.ac.uk/70928/ |
Page generated in 0.0021 seconds