Stress-constrained topology optimization considering uniform manufacturing uncertainties

Abstract

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A systematic review of voxelization method in additive manufacturing

“…This research focuses on the ability of design freedom, by limiting the micro-structure gamut to only one topology without bridging the micro and macro scales through homogenization approaches due to high computational costs. The recent published paper [18] describes a methodology based on topology optimization where manufacturing uncertainties are kept into account. This is done using a non-probabilistic strong method instead of a common deterministic approach [50].…”

“…An original approach is used in [18], where a nonprobabilistic strong method is implemented, in contrast with a common deterministic approach. The different approach reflects on higher computational cost, by increasing the number of unknown variables in order to reduce the manufacturing sensitivity, while increasing the results accuracy.…”

“…There are also some contribution where a particular voxel employment, always as geometry discretization unit, has been identified. In particular, [18,27] develop a voxel-based finite element analysis to evaluate stress distribution by using a black and white mesh. The same binary approach, using a volumetric representation based on elementary cubics of 1 and 0, is employed in [24], where authors try to enrich a well known voxelization representation with product and manufacturing information (as layer, material and mating surface ID), prior to writing the geometry description file.…”

“…In particular, there is a general trend to assume that more efficient and accurate results, whatever they are, can be possible by the increasing computational power. As [18] explains, it is interesting to see how the voxel mesh size affects the results: a finer mesh reflects on more robust and finer results compared to a coarse mesh. By the way, technology is rapidly evolving and the computational power available is increasing year by year as (Fig.…”

Structural Topology Design Optimization Using the Binary Bat Algorithm

“…In addition to the compliance minimization topology design methods, the stress-constrained topology optimization methods have received much attention since the pioneering work of Duysinx and Bendsøe [13]. It involves stress-related objectives or constraints to overcome three main issues in the minimizing compliance design: highly non-linear stress behavior, the local nature of stress constraints, and the stress singularity [14][15][16]. Similar to the compliance topology optimization approaches, the stress-constrained topology optimization methods search locally, and final designs can have blurry boundaries or checkerboard patterns depending on an exponent factor.…”