Heterogeneous object modeling with material convolution surfaces

Gupta, Vikas; Tandon, Puneet

doi:10.1016/j.cad.2014.12.005

Cited by 33 publications

(24 citation statements)

References 28 publications

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“…From each homogeneous region a set of points P = {p 1 Figure 3). In this process an appropriate element size needs to be fitted on the boundary and inside the implicit model [7], [16], [13] (see Section 4).…”

Section: Methodsmentioning

confidence: 99%

Geometric modeling of complex anatomical structures based on implicit functions

Gómez-Mora¹

2018

ces

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This paper presents a region-aware modeling (RAM) method based on implicit functions for three-dimensional (3D) geometric modeling of complex anatomical structures. The proposed method consists of two major processes. In the reconstruction process, regions composing the anatomical structure are reconstructed from segmented medical images using an implicit surface reconstruction approach, and the set of obtained implicit functions is organized in a vector implicit function (VIF) structure. Then, a meshing process generates quality surface (triangular) meshes and volumetric (tetrahedral) meshes from the VIF structure. Experiments show that using a compact and consistent implicit representation greatly reduces the computer memory requirement. The emphasis of this method is placed on the precision, in terms of geometric quality and low volumetric error necessary for engineering applications.

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Section: Methodsmentioning

confidence: 99%

Geometric modeling of complex anatomical structures based on implicit functions

Gómez-Mora¹

2018

ces

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“…The scalar r i in the vector ( r 1 , r 2 , …, r k ) represents the volume fraction of the i th primary material, the sum value of all the scalars should be one such that the material composition X m is physically meaningful. [ 60 ]…”

Section: Design Concepts For Fgmammentioning

confidence: 99%

“…The last approach is a new FGM modeling approach that uses simple material primitives, that is, points, 1D curves (straight lines or splines), and planes to build sophisticated material distributions ( Figure a–d). Gupta et al [ 60 ] investigated a material convolution surface‐based approach using material primitives. Through the use of various 1D material distributions model by membership functions and material potential functions, 2D and 3D material distributions (Figure 4e,f) can be generated for irregular heterogeneous objects.…”

Section: Design Concepts For Fgmammentioning

confidence: 99%

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A Review on Functionally Graded Materials and Structures via Additive Manufacturing: From Multi‐Scale Design to Versatile Functional Properties

Yan

Feng

Liu

et al. 2020

Adv Materials Technologies

313

116

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Functionally graded materials (FGMs) and functionally graded structures (FGSs) are special types of advanced composites with peculiar features and advantages. This article reviews the design criteria of functionally graded additive manufacturing (FGAM), which is capable of fabricating gradient components with versatile functional properties. Conventional geometrical‐based design concepts have limited potential for FGAM and multi‐scale design concepts (from geometrical patterning to microstructural design) are needed to develop gradient components with specific graded properties at different locations. FGMs and FGSs are of great interest to a larger range of industrial sectors and applications including aerospace, automotive, biomedical implants, optoelectronic devices, energy absorbing structures, geological models, and heat exchangers. This review presents an overview of various fabrication ideas and suggestions for future research in terms of design and creation of FGMs and FGSs, benefiting a wide variety of scientific fields.

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“…However, for fiberreinforced injection molding, there are many local discontinuities of the fiber orientation distribution, which cannot be properly modeled by the control feature-based method. The majority of these methods only support the modeling of simple geometries, 18 such as the form feature-based geometry models. This severely limits the application scope.…”

Section: Literature Reviewmentioning

confidence: 99%

Computer-aided design–computer-aided engineering associative feature-based heterogeneous object modeling

Liu

Duke

2015

Advances in Mechanical Engineering

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Conventionally, heterogeneous object modeling methods paid limited attention to the concurrent modeling of geometry design and material composition distribution. Procedural method was normally employed to generate the geometry first and then determine the heterogeneous material distribution, which ignores the mutual influence. Additionally, limited capability has been established about irregular material composition distribution modeling with strong local discontinuities. This article overcomes these limitations by developing the computer-aided design-computer-aided engineering associative feature-based heterogeneous object modeling method. Level set functions are applied to model the geometry within computer-aided design module, which enables complex geometry modeling. Finite element mesh is applied to store the local material compositions within computer-aided engineering module, which allows any local discontinuities. Then, the associative feature concept builds the correspondence relationship between these modules. Additionally, the level set geometry and material optimization method are developed to concurrently generate the geometry and material information which fills the contents of the computer-aided design-computer-aided engineering associative feature model. Micro-geometry is investigated as well, instead of only the local material composition. A few cases are studied to prove the effectiveness of this new heterogeneous object modeling method. KeywordsComputer-aided design-computer-aided engineering associative feature, heterogeneous object modeling, level set, geometry and material optimization Date

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Heterogeneous object modeling with material convolution surfaces

Cited by 33 publications

References 28 publications

Geometric modeling of complex anatomical structures based on implicit functions

Geometric modeling of complex anatomical structures based on implicit functions

A Review on Functionally Graded Materials and Structures via Additive Manufacturing: From Multi‐Scale Design to Versatile Functional Properties

Computer-aided design–computer-aided engineering associative feature-based heterogeneous object modeling

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