On speeding up an asymptotic-analysis-based homogenisation scheme for designing gradient porous structured materials using a zoning strategy

by   Dingchuan Xue, et al.

Gradient porous structured materials possess significant potential of being applied in many engineering fields. To help accelerate the design of infill graded microstructures, a novel asymptotic homogenisation topology optimisation method has been proposed by Zhu et al.(2019), aiming for 1) significantly enriching the pool of representable graded microstructures; 2) deriving an homogenised formulation underpinning its stress analysis in consistency with fine-scale results. But the work is severely confined from being widely applied mainly due to the following two reasons. Firstly, to circumvent the extremely time-consuming computation of the microscopic cell problems at every macroscopic point, its linearised form has to be used in numerical implementation, and this significantly reduces the design freedom. Secondly, lacking of an associated formulation of sensitive analysis, genetic algorithm was chosen for optimisation, which inevitably decreases the computational efficiency. To address these bottleneck challenging issues, a high-efficiency approach for the analysis and design of structures filled with quasi-periodic graded microstructures is proposed. A zoning scheme in favour of parallel computation is introduced, so as to make the best use of the new asymptotic homogenisation results. The proposed algorithm is validated through a comparison with existing two-dimensional benchmark cases and fine-scale brute force simulation results. The present approach is also applied for the topology optimisation of three-dimensional graded microstructures, which have barely been examined in literature, possibly because of the high computational cost, and the significantly high computational efficiency of the proposed scheme is clearly demonstrated by the provided examples.


page 12

page 13


Scalable Deep-Learning-Accelerated Topology Optimization for Additively Manufactured Materials

Topology optimization (TO) is a popular and powerful computational appro...

Stiffness optimisation of graded microstructal configurations using asymptotic analysis and machine learning

The article is aimed to address a combinative use of asymptotic analysis...

Optimisation of spatially varying orthotropic porous structures based on conformal mapping

In this article, a compliance minimisation scheme for designing spatiall...

An efficient topology optimization based on multigrid assisted reanalysis for heat transfer problem

To improve the computational efficiency of heat transfer topology optimi...

Matrix-based implementation and GPU acceleration of linearized ordinary state-based peridynamic models in MATLAB

Ordinary state-based peridynamic (OSB-PD) models have an unparalleled ca...

Please sign up or login with your details

Forgot password? Click here to reset