Topology optimisation

MoFEM topology optimisation

Advancements in Topology Optimization

Implementing SIMP Algorithm with Anisotropic Filtering

Optimised shape of a cantiliever beam.

Topology optimization is a key mathematical method used in optimizing material distribution within a given domain to enhance structural performance. This research contributes to the field through:

  • Overview of Topology Optimization: Various approaches have been developed, including density penalization, level set, topological derivative, phase-field, and evolutionary methods. A comprehensive review is available in Sigmund and Maute (2013).

  • Anisotropic Filtering for Additive Manufacturing: Highlighting the benefits of anisotropic filtering in designing structures for extrusion or additive manufacturing. This aspect is vital as the strength of parts highly depends on the direction of material deposition.

  • SIMP Algorithm Implementation: Presenting a straightforward implementation of topological optimization using the SIMP (Solid Isotropic Material with Penalization) algorithm.

  • Utilizing a Helmholtz-type PDE Filter: Employing a Helmholtz-type Partial Differential Equation (PDE) anisotropic filter. This facilitates efficient parallelization of the approach, enhancing the optimization process.

This contribution simplifies the implementation of topological optimization and aligns it with modern manufacturing techniques, broadening its applicability and efficiency.