A comprehensive framework for modeling heterogeneous objects

Conde-Rodríguez, Francisco; Torres, Juan Carlos; García-Fernández, Ángel-Luis; Feito, Francisco R.

doi:10.1007/s00371-015-1149-0

Cited by 13 publications

(5 citation statements)

References 11 publications

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“…Garner et al [26] utilized the optimization of individual cells and neighboring pairs to find the best connectivity and smoothness of the physical properties among the microstructures. Conde-Rodríguez et al [27] proposed a modeling framework of heterogeneous structures based on Bezier patches. The method is appropriate to fabricate structures with different materials, but only single-level details and Bezier were permitted.…”

Section: Related Workmentioning

confidence: 99%

Skeleton-Based Volumetric Parameterizations for Lattice Structures

Chen¹,

Liang²,

Ye³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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Lattice structures with excellent physical properties have attracted great research interest. In this paper, a novel volume parametric modeling method based on the skeleton model is proposed for the construction of threedimensional lattice structures. The skeleton model is divided into three types of nodes. And the corresponding algorithms are utilized to construct diverse types of volume parametric nodes. The unit-cell is assembled with distinct nodes according to the geometric features. The final lattice structure is created by the periodic arrangement of unit-cells. Several different types of volume parametric lattice structures are constructed to prove the stability and applicability of the proposed method. The quality is assessed in terms of the value of the Jacobian matrix. Moreover, the volume parametric lattice structures are tested with the isogeometric analysis to verify the feasibility of integration of modeling and simulation.

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Section: Related Workmentioning

confidence: 99%

Skeleton-Based Volumetric Parameterizations for Lattice Structures

Chen¹,

Liang²,

Ye³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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“…A technique based on gluing heterogeneous cells modeled by splines is considered in [QD04], [CTGF15] and [ME16]. More precisely, Conde-Rodriguez et al [CTGF15] model heterogeneous objects as tuples: O={S,V,F}, where S is a r-set corresponding to the geometry, V is the set of all valid material distributions, and F is the material function. The material function is defined by considering its restriction on a partition of S into cells.…”

Section: Spline-based Modelsmentioning

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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“…Then, a new Bézier hyperpatches based framework for modeling heterogeneous objects was proposed in ref. [56]. This framework defines an adequate mathematical model that characterizes heterogeneous objects precisely and represents the modeled objects as a computational representation.…”

Section: Control Point Based Modelmentioning

confidence: 99%

Review of heterogeneous material objects modeling in additive manufacturing

Feng

et al. 2020

Vis. Comput. Ind. Biomed. Art

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This review investigates the recent developments of heterogeneous objects modeling in additive manufacturing (AM), as well as general problems and widespread solutions to the modeling methods of heterogeneous objects. Prevalent heterogeneous object representations are generally categorized based on the different expression or data structure employed therein, and the state-of-the-art of process planning procedures for AM is reviewed via different vigorous solutions for part orientation, slicing methods, and path planning strategies. Finally, some evident problems and possible future directions of investigation are discussed.

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A comprehensive framework for modeling heterogeneous objects

Cited by 13 publications

References 11 publications

Skeleton-Based Volumetric Parameterizations for Lattice Structures

Skeleton-Based Volumetric Parameterizations for Lattice Structures

Modeling and Visualization of Multi-material Volumes

Review of heterogeneous material objects modeling in additive manufacturing

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