Homogenization of Mechanical Properties for Material Extrusion Periodic Lattice Structures Considering Joint Stiffening Effects

Park, Sang-in; Rosen, David W.

doi:10.1115/1.4040704

Cited by 20 publications

(13 citation statements)

References 30 publications

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“…One of the milestones in this context is the paper by Vigliotti [52] which contains the stiffness matrix model of some lattice unit cells. An extension of this work is contained in [15], where the authors consider both the semi-rigid joint effects and the effective structural parameters. Periodic lattice structures are used in industrial applications more than the stochastic dense materials, because of the easier way to extrapolate material properties [17].…”

Section: Engineering Fieldmentioning

confidence: 99%

“…This process is called homogenization and it is done before FEA to decrease the computational time and costs. Reference [15] improves the discrete homogenization theory for lattices made by [52] considering semi-rigid joint effects. Joints are usually modelled as point of infinitesimal volume with infinite stiffness, without considering the truss decreasing length.…”

Section: Am Applicationmentioning

confidence: 99%

“…13). Besides, [14][15][16] use FDM to manufacture optimized specimens that are used in the experimental tests to validate the proposed models and methodologies. ABS plastic is cheap, easy to be found and is modelled by FDM machines, which are very wide spread in university and practitioners and a large community lie behind this technology.…”

Section: Am Technologymentioning

confidence: 99%

“…Reference [9] uses voxels as computational unit for topology optimization evaluation, in a similar manner respect to what done in [10,29], where the discretized elements are used as a support for the thermal process simulation. There are some papers associated with the same voxel use: [11,15,28] who use these elementary cubes as a computational unit to discrete the geometry under analysis in order to detect critical areas (i.e. under or over-extrusion regions and generic geometrical errors) and evaluate the support material location by minimizing it, as done in [13].…”

Section: Voxelization Usagementioning

confidence: 99%

“…A relevant group of papers focuses on the lattice structures, that could bring important weight and fuel consumption reduction in the transportation field. In particular, [15] proposes to refine the model with end effects for non periodic lattices and try to model analytically and experimentally the buckling behaviour of these complex structures. On the other hand, for biomedical purposes, [32] has proposed to extend the inner structure reconstruction by means of CT images not only to uniform lattices, but also to the graded ones, based on grey scale image superposition.…”

Section: Answer To Q2: What Are the Potential Future Developments Andmentioning

confidence: 99%

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A systematic review of voxelization method in additive manufacturing

Bacciaglia

Ceruti

Liverani

2019

Mechanics & Industry

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Additive manufacturing (AM) is becoming an important alternative to traditional processes. AM technology shows several advantages in literature, and its use increases in aerospace, automotive and biomedicine. Time reduction in design-to-manufacturing cycle, customization, capability to generate complex shapes in one piece and ability to imitate low-weight bio-inspired shapes are the strength of designs based on AM. Due to its potentials, major progresses were done in AM, thanks to technology evolution and increased computational power. With regard to AM, voxelization can be defined as part’s discretization in hexahedral elements, as done with pixels in 2D image. Voxels are used to speed-up geometry and algebraic manipulation thanks to their inherent advantages. This paper analyses advantages and criticalities of AM and voxel manipulation through a systematic literature review methodology. The analyses are based upon the filtering of a huge amount of publications available in literature up to obtaining the most significant 25 studies published in the last 5 years. The study’s main result is the technology gap’s identification, i.e. where AM and voxelization still need improvements, thus providing the reader with suggestions about possible further studies. Computer elaboration power and voxel discretization algorithms are suggested being key issues in AM’s further development.

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Section: Engineering Fieldmentioning

confidence: 99%

Section: Am Applicationmentioning

confidence: 99%

Section: Am Technologymentioning

confidence: 99%

Section: Voxelization Usagementioning

confidence: 99%

Section: Answer To Q2: What Are the Potential Future Developments Andmentioning

confidence: 99%

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A systematic review of voxelization method in additive manufacturing

Bacciaglia

Ceruti

Liverani

2019

Mechanics & Industry

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Multiscale Optimization of 3D‐Printed Beam‐Based Lattice Structures through Elastically Tailored Unit Cells

et al. 2022

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Herein, a numerical multiscale tool is developed to design 3D periodic lattice structures. The work is motivated by the high design freedom of additive manufacturing technologies, which enable complex multiscale lattice structures to be printed. A finite‐element‐based free‐material optimization method is used to determine the ideal orthotropic material properties of a 3D macrostructure space. Subsequently, a population‐based algorithm is established to design optimized microscopic lattice unit cells with the desired structural properties. The design variables are the coordinates of lattice skeleton nodes defined within the 3D lattice unit cell space, and the connectivities between them resulting in a truss skeleton. For the calculation of the mechanical properties of the individual lattice cells, an effective Timoshenko beam‐based finite element calculation method is developed. The macroscale structure can be constructed by periodically filling the domain with the customized unit cell representing a metamaterial. The method is demonstrated by 3D beam problems with compliance constraints. These macroscopic demonstrators of the developed lattice structures were also 3D‐printed. The benefit regarding the weight‐specific structural performance is validated through benchmarking with periodic lattice design solutions using well‐known standard lattice cells.

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Tailored elastic properties of beam-based lattice unit structures

Schwahofer

Büttner

Colin

et al. 2023

Int J Mech Mater Des

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In this paper a structural optimization framework is developed to design three-dimensional periodic lattice unit cells that meets specific mechanical requirements. The work is motivated by the high design freedom of additive manufacturing technologies, which enable complex multiscale lattice structures to be printed. An optimized lattice unit cell delivers desired orthotropic elastic material properties, providing a tailored metamaterial. The design variables are the coordinates of lattice skeleton nodes defined within the three-dimensional lattice cell space, and the connectivities between them resulting a strut-skeleton. Genetic algorithm (GA) is combined with posterior particle swarm optimization (PSO) algorithm to establish an integrated topology and shape optimization tool. For the calculation of the elastic properties of the individual lattice cells, an effective Timoshenko beam-based finite element calculation method was developed. The novelty of the work stems from its free topology optimization nature, excluding the strut diameters from the optimization variables. The method is demonstrated by four lattice cell optimization cases, where extreme orthotropic elastic properties were targeted and achieved. The tailored lattice cells represent a metamaterial, that can be used to build a structural component on the macroscopic scale, by stacking the cells periodically together, to fill the macroscopic 3D design space. This framework is a strong basis that can be extended to meet further nonlinear metamaterial requirements, such as energy absorption.

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Homogenization of Mechanical Properties for Material Extrusion Periodic Lattice Structures Considering Joint Stiffening Effects

Cited by 20 publications

References 30 publications

A systematic review of voxelization method in additive manufacturing

A systematic review of voxelization method in additive manufacturing

Multiscale Optimization of 3D‐Printed Beam‐Based Lattice Structures through Elastically Tailored Unit Cells

Tailored elastic properties of beam-based lattice unit structures

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