The influence of thermal barriers in anisotropic media applied to PCB using MEC

Many electronical components were developed during the last years and many efforts were devoted to the miniaturization of their components due to the global tendency. The matrix in which the components are mounted are made of composite materials which presented anisotropic behaviour. The main goal of this work relies on determining the influence of the thermal barriers position inside of a PCB. The plate has 168 thermal barriers inside the domain where each one has a 360° of freedom of rotation. A Dirichlet boundary condition was imposed to all corners of the plate to analysis. The heat flux was observed at the A, B, and C corners, as the internal barriers were rotated. A quadratic boundary element was used and The multipoint Genetic Algorithm was employed in order to maximize the objective function at the corner A and minimizing at the corners B and C. Despite the elevated number of variables classified this problem such as non-convex, the final results showed good convergence

A topological optimization procedure applied to multiple region problems with embedded sources

The main objective of this work is the application of the topological optimization procedure to heat transfer problems considering multiple materials. The topological derivative (DT) is employed for evaluating the domain sensitivity when perturbed by inserting a small inclusion. Electronic components such as printed circuit boards (PCBs) are an important area for the application of topological optimization. Generally, geometrical optimization involving heat transfer in PCBs considers only isotropic behavior and/or a single material. Multiple domains with anisotropic characteristics take an important role on many industrial products, for instance when considering PCBs which are often connected to other components of different materials. In this sense, a methodology for solving topological optimization problems considering anisotropy and multiple regions with embedded heat sources is developed in this paper. A direct boundary element method (BEM) is employed for solving the proposed numerical problem.CNPQ – Brazil through the Science without Borders program and from Brunel University