Essays about: "Inverse homogenization"

Found 2 essays containing the words Inverse homogenization.

1. 1. Multi-Scale Topology Optimization of Lattice Structures Using Machine Learning

   University essay from Uppsala universitet/Tillämpad mekanik

   Author : Julia Ibstedt; [2023]
   Keywords : Topology optimization; Multi-scale topology optimization; Machine learning; Gaussian process; Homogenization; Inverse homogenization; Anisotropic materials; Symmetry groups; Material property space; Topologioptimering; Flerskalig topologioptimering; Maskininlärning; Gaussian process; Homogenisering; Anisotropa material; Symmetrigrupper; Materialegenskapsrymd;

   Abstract : This thesis explores using multi-scale topology optimization (TO) by utilizing inverse homogenization to automate the adjustment of each unit-cell's geometry and placement in a lattice structure within a pressure vessel (the design domain) to achieve desired structural properties. The aim is to find the optimal material distribution within the design domain as well as desired material properties at each discretized element and use machine learning (ML) to map microstructures with corresponding prescribed effective properties. READ MORE

3. 2. Towards Identification of Effective Parameters in Heterogeneous Media

   University essay from

   Author : David Johansson; [2020]
   Keywords : parameter identification; multiscale modelling; homogenization theory; partial differential equations; inverse modelling;

   Abstract : In this thesis we study a parameter identification problem for a stationary diffusion equation posed in heterogeneous media. This problem is closely related to the Calderón problem with anisotropic conductivities. The anisotropic case is particularly difficult and is ill-posed both in regards to uniqueness of solution and stability on the data. READ MORE