Combinatorics

Physics

Finite element method

Nanotechnology

Topology (electrical circuits)

Symmetry (geometry)

Mathematics

Psychotherapist

Genetic algorithm

Displacement (psychology)

Algorithm

Mathematical optimization

Crossover

Mathematical analysis

Band gap

Artificial intelligence

Psychology

Topology optimization

Thin film

Materials science

Programming language

Fourier series

Geometry

Condensed matter physics

Computer science

Crystal (programming language)

Optoelectronics

Thermodynamics

Scientific Reports

Genetic algorithm (GA) is used for the topological optimization of phononic crystal thin plate composed of aluminum and epoxy resin. Plane wave expansion (PWE) method is used for calculations of band gaps. Fourier displacement property is used to calculate the structure function in PWE. The crossover rate and the mutation rate are calculated according to the adaptive GA method. Results indicate that filling rates, symmetry, polymerization degree and material parameters are key factors for design of topological configurations. The relations between the key factors and different topologies are studied in detail.

Topological Optimization of Phononic Crystal Thin Plate by a Genetic Algorithm