Loci Periodic Surface Reconstruction from Crystals

Wang, Yan

doi:10.1080/16864360.2007.10738563

Cited by 10 publications

(6 citation statements)

References 24 publications

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“…In this paper, we propose a modeling approach to represent both woven and nonwoven fibrous porous media based on the extension of a previously developed periodic surface (PS) model (Wang, 2007a(Wang, , b, 2009Qi and Wang, 2009). This new surface model allows us to efficiently build randomly distributed or patterned fibers, both straight and bent, in a RVE.…”

Section: Introductionmentioning

confidence: 99%

Generalized periodic surface model and its application in designing fibrous porous media

Huang

Didari

Wang

et al. 2015

Engineering Computations

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Purpose-Fibrous porous media have a wide variety of applications in insulation, filtration, acoustics, sensing, and actuation. To design such materials, computational modeling methods are needed to engineer the properties systematically. There is a lack of efficient approaches to build and modify those complex structures in computers. The paper aims to discuss these issues. Design/methodology/approach-In this paper, the authors generalize a previously developed periodic surface (PS) model so that the detailed shapes of fibers in porous media can be modeled. Because of its periodic and implicit nature, the generalized PS model is able to efficiently construct the three-dimensional representative volume element (RVE) of randomly distributed fibers. A physicsbased empirical force field method is also developed to model the fiber bending and deformation. Findings-Integrated with computational fluid dynamics (CFD) analysis tools, the proposed approach enables simulation-based design of fibrous porous media. Research limitations/implications-In the future, the authors will investigate robust approaches to export meshes of PS models directly to CFD simulation tools and develop geometric modeling methods for composite materials that include both fibers and resin. Originality/value-The proposed geometric modeling method with implicit surfaces to represent fibers is unique in its capability of modeling bent and deformed fibers in a RVE and supporting design parameter-based modification for global configuration change for the purpose of macroscopic transport property analysis.

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Section: Introductionmentioning

confidence: 99%

Generalized periodic surface model and its application in designing fibrous porous media

Huang

Didari

Wang

et al. 2015

Engineering Computations

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“…The PS model allows for parametric construction from atomic scale to meso scale. Reconstruction of loci surfaces from crystals [ 3 ], surface degree operations to support fine-grained modeling [4,5], and feature-based approach for crystal construction [6,7] were also studied. In this paper, we propose a surface morphing or metamorphosis approach for PS models.…”

Section: Introductionmentioning

confidence: 99%

Metamorphosis of Periodic Surface Models

Cheng

Wang

2009

Volume 5: 35th Design Automation Conference, Parts a and B

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A phase transition is a geometric and topological transformation process of materials from one phase to another, each of which has a unique and homogeneous physical property. Providing an initial guess of transition path for further physical simulation studies is highly desirable in materials design. In this paper, we present a metamorphosis scheme for periodic surface (PS) models by interpolation in the PS parameter space. The proposed approach creates multiple potential transition paths for further selection based on three smoothness criteria. The goal is to search for a smooth transformation in phase transition analysis.

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“…The surface model allows for parametric construction from atomic scale to meso scale. Reconstruction of loci surfaces from crystals was also studied [3].…”

Section: Introductionmentioning

confidence: 99%

Degree Elevation and Reduction of Periodic Surfaces

Wang¹

2008

Computer-Aided Design and Applications

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Recently we developed a periodic surface model to assist the construction of nano structures parametrically for computer-aided nano-design. In this paper, we study the properties of periodic surfaces for degree elevation and reduction. Degree elevation approaches are developed to incrementally increase shape complexities, including native, variational, and boundary constrained elevations. A generic degree reduction operation is defined for surface approximation based on an algebraic distance. The goal is to enhance the flexibility of the periodic surface model and allow for multi-resolution representation.

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Loci Periodic Surface Reconstruction from Crystals

Cited by 10 publications

References 24 publications

Generalized periodic surface model and its application in designing fibrous porous media

Generalized periodic surface model and its application in designing fibrous porous media

Metamorphosis of Periodic Surface Models

Degree Elevation and Reduction of Periodic Surfaces

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