Multiscale shape–material modeling by composition

Liu, Xingchen; Shapiro, Vadim

doi:10.1016/j.cad.2018.04.024

Cited by 17 publications

(7 citation statements)

References 42 publications

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“…Designing such lattice structures is not trivial and challenging for a regular user as this involves defining complex function-based rules. Moreover, it is not clear how to design a hierarchical lattice structure with such an approach, as different functions must be defined at each level [155]. Nevertheless, having a function to generate a lattice structure has its own advantages.…”

Section: Fig 21 V-cells Of a V-rep Model Of A Heterogeneous Lattice [...mentioning

confidence: 99%

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Challenges and Opportunities in Geometric Modeling of Complex Bio-Inspired Three-Dimensional Objects Designed for Additive Manufacturing

Letov

Velivela

Sun

et al. 2021

Journal of Mechanical Design

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Ever since its introduction over five decades ago, geometric solid modelling has been crucial for engineering design purposes and is used in engineering software packages such as computer-aided design (CAD), computer-aided manufacturing (CAM), computer-aided engineering (CAE), etc. Solid models produced by CAD software have been used to transfer geometric information from designers to manufacturers. Since the emergence of additive manufacturing (AM), a CAD file can also be directly uploaded to a three-dimensional (3D) printer and used for production. AM techniques allow manufacturing of complex geometric objects such as bio-inspired structures and lattice structures. These structures are shapes inspired by nature and periodical geometric shapes consisting of struts interconnecting in nodes. Both structures have unique properties such as significantly reduced weight. However, geometric modelling of such structures has significant challenges due to the inability of current techniques to handle their geometric complexity. This calls for a novel modelling method that would allow engineers to design complex geometric objects. This survey paper reviews geometric modelling methods of complex structures to support bio-inspired design created for AM which includes discussing reasoning behind bio-inspired design, limitations of current modelling approaches applied to bio-inspired structures, challenges encountered with geometric modelling and opportunities that these challenges reveal. Based on the review, a need for a novel geometric modelling method for bio-inspired geometries produced by AM is identified. A framework for such bio-inspired geometric modelling method is proposed as a part of this work.

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Section: Fig 21 V-cells Of a V-rep Model Of A Heterogeneous Lattice [...mentioning

confidence: 99%

“…Note that hierarchical lattices are common in nature, e.g. the bamboo structure is hierarchical and has inspired producing similar lattice structures using AM [155]. Topology optimization algorithms often provide unique solutions to the design of multi-scale structures [174,122].…”

Section: Multi-scale Modelling Of Heterogeneous Lattice Structuresmentioning

confidence: 99%

Challenges and Opportunities in Geometric Modeling of Complex Bio-Inspired Three-Dimensional Objects Designed for Additive Manufacturing

Letov

Velivela

Sun

et al. 2021

Journal of Mechanical Design

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“…Once solutions are found, they must be integrated into a system with appropriate workflow. Further, additional considerations include: how to handle microstructures and multiscale geometry [LS18]; the integration of HO analysis into a CAD/CAE system; the choice of appropriate interaction paradigm; and appropriate dataflow and file exchange formats that can handle complex engineering-scale multi-material HOs with microstructures. Some attempts have been made at defining a feature set for HO systems, which we can expand upon as a result of our survey: o Analysis: forward integration as a minimum, preferably inverse integration to allow optimisation of shape and materials as part of workflow o Shape and material properties must be fully available to CAE subsystem o Compatible with industrial standards for data exchange.…”

Section: Challenges In System Integration and Architecturementioning

confidence: 99%

Modeling and Visualization of Multi-material Volumes

Fayolle¹,

McLoughlin²,

Sanchez³

et al. 2021

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The terminology of multi-material volumes is discussed. The classification of the multimaterial volumes is given from the spatial partitions, spatial domain for material distribution, types of involved scalar fields and types of models for material distribution and composition of several materials points of view. In addition to the technical challenges of multi-material volume representations, a range of key challenges are considered before such representations can be adopted as mainstream practice.

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“…Liu and Shapiro [LS18] presented a formal framework for modelling heterogeneous materials by recursive composition of two‐scale material structures. This allows to maintain a dual material representation, so that depending on the scale (coarse or fine) of the operation to be computed, the more convenient representation is chosen (for example: a voxel‐based representation on a coarse scale, and a Voronoi‐based representation on a fine scale).…”

Section: Related Workmentioning

confidence: 99%

“…One of the advantages of this proposal is that set‐theoretic operations are correctly supported for modelling purposes. On the other hand, in this and other methods for modelling microstructures via functional compositions, it might become difficult to relate the parameters of such functions to target material properties and/or descriptors [LS18].…”

Section: Related Workmentioning

confidence: 99%

Modelling Material Microstructure Using the Perlin Noise Function

Conde-Rodríguez

García-Fernández

Torres

2020

Computer Graphics Forum

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This paper introduces a precise and easy to use method for defining the microstructure of heterogeneous solids. This method is based on the concept of Heterogeneous Composite Bézier Hyperpatch, and allows to accurately represent the primary material proportions, as well as the size and shape of the material phases. The solid microstructure is modelled using two functions: a material distribution function (to compute the portion of the solid volume occupied by each primary material), and a modified Perlin noise function that determines the shape and size of each primary material phase. With this method, the position and orientation of the solid in the modeling space R3 does not affect the portion of its volume that is occupied by each primary material, nor the shape and size of the phases. However, the solid microstructure is coherently and automatically modified when the shape of the solid is edited. Regarding continuity, this method allows to define to which extent continuity (both in shape and material distribution) has to be preserved at the junction of the cells that compose the solid. This makes modeling geometrically complex figures very easy.

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Multiscale shape–material modeling by composition

Cited by 17 publications

References 42 publications

Challenges and Opportunities in Geometric Modeling of Complex Bio-Inspired Three-Dimensional Objects Designed for Additive Manufacturing

Challenges and Opportunities in Geometric Modeling of Complex Bio-Inspired Three-Dimensional Objects Designed for Additive Manufacturing

Modeling and Visualization of Multi-material Volumes

Modelling Material Microstructure Using the Perlin Noise Function

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