Topology optimization with boundary element method using topological derivative and its gradient
Palavras-chave:
Topology Optimization, Topological Derivatives, Topological Sensitivity, Boundary Element MethodResumo
A new methodology of topology optimization of thermal conducting solids using the Boundary Element
Method (BEM) and Topological Derivatives (TD) is presented. The TD is evaluated on the boundary and the
domain and its gradient is evaluated on the problem’s boundary only. Boundary nodes where TD values are low are
then moved using the TD’s gradient as indicator of direction and the TD’s value as indicator of intensity of change.
The creation of holes inside the domain is made possible by taking isolines of the TD on the domain. Isolines with
low values of the TD are used as the boundary of the new holes. The methodology creates smoother boundaries
with reduced number of elements when compared to previously proposed techniques, while maintaining a simple
mathematical formulation.
