The applicability of the methodology is illustrated through examples and compared with the literature. For the optimization, the simplified case of steady-state FSI is assumed. TheĬoupling of the different methods is illustrated through the analysis of transient FSI examples. To accomplish this, the LSTO-RKPM methodology is further combined with the modified immersed finite element method (mIFEM). The development of the LSTO-RKPM methodology is later extended to fluidstructure interactions. Different integration schemes, particle distributions and continuity orders are also explored to pin down the best balance The methodology is first validated for purely hydrostatic pressure, which is a very simple case of design-dependent physics. In this way, the difficulties associated with fixed grid LSTO methods and remeshing-based approaches are avoided. In this thesis a meshfree level set topology optimization methodology based on the reproducing kernel particle method (RKPM) is developed toĮnsure the well-defined geometrical representation of the structural boundary is transferred onto the computational domain by placing RKPM particles along the boundary. On the other hand, remeshing the structure at each iteration directly addresses the problem, it posesĪdditional difficulties because of the need to ensure good quality meshes at each iteration. However, maintaining this crisp boundary representation onto the computational model for the analysis is not straightforward especially with fixed grid methodologies. Optimization (LSTO) possesses an advantage over traditional density-based methods since it provides clearly defined boundaries.

Fluid-structure interaction (FSI) is a typical example. This is a challenging class of problems governed by interface conditions and loadings. This thesis aims to develop computational tools for multiphysics problems in topology optimization with particular focus on design-dependent surface physics. PDF (Electronic Thesis and Dissertation Publication Form)

Meshfree method examples